Average Error: 52.0 → 52.0
Time: 8.1s
Precision: 64
\[x = 10864 \land y = 18817\]
\[\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot \left(y \cdot y\right)\]
↓
\[\sqrt[3]{{\left(9 \cdot {x}^{4} - {y}^{4}\right)}^{3}} + 2 \cdot \left(y \cdot y\right)\]
\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot \left(y \cdot y\right)
↓
\sqrt[3]{{\left(9 \cdot {x}^{4} - {y}^{4}\right)}^{3}} + 2 \cdot \left(y \cdot y\right)
double f(double x, double y) {
        double r58116 = 9.0;
        double r58117 = x;
        double r58118 = 4.0;
        double r58119 = pow(r58117, r58118);
        double r58120 = r58116 * r58119;
        double r58121 = y;
        double r58122 = pow(r58121, r58118);
        double r58123 = r58120 - r58122;
        double r58124 = 2.0;
        double r58125 = r58121 * r58121;
        double r58126 = r58124 * r58125;
        double r58127 = r58123 + r58126;
        return r58127;
}
↓
double f(double x, double y) {
        double r58128 = 9.0;
        double r58129 = x;
        double r58130 = 4.0;
        double r58131 = pow(r58129, r58130);
        double r58132 = r58128 * r58131;
        double r58133 = y;
        double r58134 = pow(r58133, r58130);
        double r58135 = r58132 - r58134;
        double r58136 = 3.0;
        double r58137 = pow(r58135, r58136);
        double r58138 = cbrt(r58137);
        double r58139 = 2.0;
        double r58140 = r58133 * r58133;
        double r58141 = r58139 * r58140;
        double r58142 = r58138 + r58141;
        return r58142;
}

Error

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 52.0

    \[\left(9 \cdot {x}^{4} - {y}^{4}\right) + 2 \cdot \left(y \cdot y\right)\]
  2. Using strategy rm

  3. Applied add-cbrt-cube52.0

    \[\leadsto \color{blue}{\sqrt[3]{\left(\left(9 \cdot {x}^{4} - {y}^{4}\right) \cdot \left(9 \cdot {x}^{4} - {y}^{4}\right)\right) \cdot \left(9 \cdot {x}^{4} - {y}^{4}\right)}} + 2 \cdot \left(y \cdot y\right)\]

  4. Simplified52.0

    \[\leadsto \sqrt[3]{\color{blue}{{\left(9 \cdot {x}^{4} - {y}^{4}\right)}^{3}}} + 2 \cdot \left(y \cdot y\right)\]

  5. Final simplification52.0

    \[\leadsto \sqrt[3]{{\left(9 \cdot {x}^{4} - {y}^{4}\right)}^{3}} + 2 \cdot \left(y \cdot y\right)\]

Reproduce

herbie shell --seed 2019350 
(FPCore (x y)
  :name "From Rump in a 1983 paper"
  :precision binary64
  :pre (and (== x 10864) (== y 18817))
  (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))))