Average Error: 5.7 → 0.2
Time: 4.3s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\left(1 - x\right) \cdot \frac{\frac{1}{\frac{3}{3 - x}}}{y}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\left(1 - x\right) \cdot \frac{\frac{1}{\frac{3}{3 - x}}}{y}
double f(double x, double y) {
        double r637455 = 1.0;
        double r637456 = x;
        double r637457 = r637455 - r637456;
        double r637458 = 3.0;
        double r637459 = r637458 - r637456;
        double r637460 = r637457 * r637459;
        double r637461 = y;
        double r637462 = r637461 * r637458;
        double r637463 = r637460 / r637462;
        return r637463;
}
↓
double f(double x, double y) {
        double r637464 = 1.0;
        double r637465 = x;
        double r637466 = r637464 - r637465;
        double r637467 = 1.0;
        double r637468 = 3.0;
        double r637469 = r637468 - r637465;
        double r637470 = r637468 / r637469;
        double r637471 = r637467 / r637470;
        double r637472 = y;
        double r637473 = r637471 / r637472;
        double r637474 = r637466 * r637473;
        return r637474;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.7
Target0.1
Herbie0.2
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

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. Using strategy rm

  5. Applied div-inv0.2

    \[\leadsto \color{blue}{\left(\left(1 - x\right) \cdot \frac{1}{y}\right)} \cdot \frac{3 - x}{3}\]

  6. Applied associate-*l*0.2

    \[\leadsto \color{blue}{\left(1 - x\right) \cdot \left(\frac{1}{y} \cdot \frac{3 - x}{3}\right)}\]

  7. Simplified0.1

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

  9. Applied clear-num0.2

    \[\leadsto \left(1 - x\right) \cdot \frac{\color{blue}{\frac{1}{\frac{3}{3 - x}}}}{y}\]

  10. Final simplification0.2

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

Reproduce

herbie shell --seed 2020081 
(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)))