Average Error: 5.7 → 0.1
Time: 16.6s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\frac{1 - x}{y} \cdot \frac{3 - x}{3}
double f(double x, double y) {
        double r442120 = 1.0;
        double r442121 = x;
        double r442122 = r442120 - r442121;
        double r442123 = 3.0;
        double r442124 = r442123 - r442121;
        double r442125 = r442122 * r442124;
        double r442126 = y;
        double r442127 = r442126 * r442123;
        double r442128 = r442125 / r442127;
        return r442128;
}
↓
double f(double x, double y) {
        double r442129 = 1.0;
        double r442130 = x;
        double r442131 = r442129 - r442130;
        double r442132 = y;
        double r442133 = r442131 / r442132;
        double r442134 = 3.0;
        double r442135 = r442134 - r442130;
        double r442136 = r442135 / r442134;
        double r442137 = r442133 * r442136;
        return r442137;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original5.7
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.7

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  2. Using strategy rm

  3. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{1 - x}{y} \cdot \frac{3 - x}{3}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Reproduce

herbie shell --seed 2019303 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"
  :precision binary64

  :herbie-target
  (* (/ (- 1 x) y) (/ (- 3 x) 3))

  (/ (* (- 1 x) (- 3 x)) (* y 3)))