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                [Test] add tests from MINLPTests.jl
              
              
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| {"primal":{"x":1.0,"y":2.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":3.0,"variable":"x"},{"coefficient":9.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":-10.0,"type":"GreaterThan"}},{"name":"c2","function":{"constant":0.0,"terms":[{"coefficient":10.0,"variable":"x"},{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":-20.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"type":"LessThan","upper":5.0}},{"name":"c2_1","function":{"constant":0.0,"terms":[{"coefficient":2.0,"variable":"x"},{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"type":"LessThan","upper":3.0}},{"name":"c3","function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"},{"coefficient":2.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"type":"LessThan","upper":8.0}}],"objective":{"function":{"constant":5.0,"affine_terms":[{"coefficient":-2.0,"variable":"x"},{"coefficient":-4.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":0.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":3.0,"y":2.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":3.0,"variable":"x"},{"coefficient":5.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":15.0,"type":"GreaterThan"}},{"name":"c2","function":{"constant":0.0,"terms":[{"coefficient":7.0,"variable":"x"},{"coefficient":2.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":20.0,"type":"GreaterThan"}},{"name":"c3","function":{"constant":0.0,"terms":[{"coefficient":9.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":20.0,"type":"GreaterThan"}},{"name":"c4","function":{"constant":0.0,"terms":[{"coefficient":3.0,"variable":"x"},{"coefficient":7.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":17.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":-3.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"type":"LessThan","upper":3.0}},{"name":"c2_1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":-5.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":13.0,"affine_terms":[{"coefficient":-6.0,"variable":"x"},{"coefficient":-4.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.707106783469219,"y":0.707106783469219},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}},{"function":{"name":"x","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"y","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"x","type":"Variable"},"set":{"type":"LessThan","upper":2.0}},{"function":{"name":"y","type":"Variable"},"set":{"type":"LessThan","upper":2.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"},{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-1.414213566938438,"is_feasible":true} | 
  
    
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| {"primal":{"x":1.0,"y":0.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}},{"function":{"name":"x","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"y","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"x","type":"Variable"},"set":{"type":"LessThan","upper":2.0}},{"function":{"name":"y","type":"Variable"},"set":{"type":"LessThan","upper":2.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-1.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":1.0,"y":0.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}},{"function":{"name":"x","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"y","type":"Variable"},"set":{"lower":-2.0,"type":"GreaterThan"}},{"function":{"name":"x","type":"Variable"},"set":{"type":"LessThan","upper":2.0}},{"function":{"name":"y","type":"Variable"},"set":{"type":"LessThan","upper":2.0}}],"objective":{"function":{"name":"x","type":"Variable"},"sense":"max"},"version":{"major":1,"minor":7}},"objective":1.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.9741657437159129,"y":0.2258342542139506},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":1.2,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.9741657437159129,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.6,"y":0.6},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":1.2,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":1.2,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.707106783460569,"y":0.707106783460569},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":1.2,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"max"},"version":{"major":1,"minor":7}},"objective":1.414213566921138,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.6,"y":0.6},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":1.2,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}}],"objective":{"function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":0.72,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.65,"y":0.65},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"set":{"lower":1.2,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":1.0}}],"objective":{"function":{"constant":0.8450000000000001,"affine_terms":[{"coefficient":-1.3,"variable":"x"},{"coefficient":-1.3,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":0.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.0,"y":-0.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"name":"y","type":"Variable"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.0,"y":1.0},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-1.0,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.5,"y":0.75},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"},{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-1.25,"is_feasible":true} | 
  
    
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| {"primal":{"x":-0.5,"y":0.25},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":1.0,"variable":"x"},{"coefficient":1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.25,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.7071067832361848,"y":0.5},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.7071067832361848,"is_feasible":true} | 
  
    
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| {"primal":{"x":0.7071067832574013,"y":0.5},"model":{"name":"MathOptFormat Model","variables":[{"name":"x"},{"name":"y"}],"constraints":[{"name":"c1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":-2.0}],"type":"ScalarQuadraticFunction"},"set":{"lower":-1.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.0}},{"name":"c2","function":{"constant":0.0,"affine_terms":[{"coefficient":-1.0,"variable":"y"}],"quadratic_terms":[{"variable_1":"x","variable_2":"x","coefficient":2.0},{"variable_1":"y","variable_2":"y","coefficient":2.0}],"type":"ScalarQuadraticFunction"},"set":{"type":"LessThan","upper":0.75}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-0.7071067832574013,"is_feasible":true} | 
  
    
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| {"primal":{"x":2.687422019398147,"y":1.488582385638499},"model":{"name":"MathOptFormat Model","variables":[{"name":"x","primal_start":0.1},{"name":"y"}],"constraints":[{"name":"c1","function":{"root":{"type":"node","index":3},"type":"ScalarNonlinearFunction","node_list":[{"args":["x"],"type":"log"},{"args":[{"type":"node","index":1},0.5],"type":"+"},{"args":[{"type":"node","index":2},"y"],"type":"-"}]},"set":{"lower":0.0,"type":"GreaterThan"}},{"name":"c1_1","function":{"root":{"type":"node","index":5},"type":"ScalarNonlinearFunction","node_list":[{"args":[1.0,"x"],"type":"*"},{"args":[{"type":"node","index":1},-2.0],"type":"+"},{"args":[{"type":"node","index":2}],"type":"exp"},{"args":[{"type":"node","index":3},0.5],"type":"-"},{"args":[{"type":"node","index":4},"y"],"type":"-"}]},"set":{"type":"LessThan","upper":0.0}}],"objective":{"function":{"constant":0.0,"terms":[{"coefficient":-1.0,"variable":"x"},{"coefficient":-1.0,"variable":"y"}],"type":"ScalarAffineFunction"},"sense":"min"},"version":{"major":1,"minor":7}},"objective":-4.176004405036646,"is_feasible":true} | 
      
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