Average Error: 0.5 → 0.2
Time: 11.1s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r674588 = 60.0;
        double r674589 = x;
        double r674590 = y;
        double r674591 = r674589 - r674590;
        double r674592 = r674588 * r674591;
        double r674593 = z;
        double r674594 = t;
        double r674595 = r674593 - r674594;
        double r674596 = r674592 / r674595;
        double r674597 = a;
        double r674598 = 120.0;
        double r674599 = r674597 * r674598;
        double r674600 = r674596 + r674599;
        return r674600;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r674601 = 60.0;
        double r674602 = z;
        double r674603 = t;
        double r674604 = r674602 - r674603;
        double r674605 = x;
        double r674606 = y;
        double r674607 = r674605 - r674606;
        double r674608 = r674604 / r674607;
        double r674609 = r674601 / r674608;
        double r674610 = a;
        double r674611 = 120.0;
        double r674612 = r674610 * r674611;
        double r674613 = r674609 + r674612;
        return r674613;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.5
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]

  4. Final simplification0.2

    \[\leadsto \frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Reproduce

herbie shell --seed 2019298 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))