Average Error: 5.3 → 0.1
Time: 16.5s
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 r501142 = 1.0;
        double r501143 = x;
        double r501144 = r501142 - r501143;
        double r501145 = 3.0;
        double r501146 = r501145 - r501143;
        double r501147 = r501144 * r501146;
        double r501148 = y;
        double r501149 = r501148 * r501145;
        double r501150 = r501147 / r501149;
        return r501150;
}
↓
double f(double x, double y) {
        double r501151 = 1.0;
        double r501152 = x;
        double r501153 = r501151 - r501152;
        double r501154 = y;
        double r501155 = r501153 / r501154;
        double r501156 = 3.0;
        double r501157 = r501156 - r501152;
        double r501158 = r501157 / r501156;
        double r501159 = r501155 * r501158;
        return r501159;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

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

Derivation

  1. Initial program 5.3

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019325 +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)))