Average Error: 0.5 → 0.2
Time: 8.4s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r737086 = 60.0;
        double r737087 = x;
        double r737088 = y;
        double r737089 = r737087 - r737088;
        double r737090 = r737086 * r737089;
        double r737091 = z;
        double r737092 = t;
        double r737093 = r737091 - r737092;
        double r737094 = r737090 / r737093;
        double r737095 = a;
        double r737096 = 120.0;
        double r737097 = r737095 * r737096;
        double r737098 = r737094 + r737097;
        return r737098;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r737099 = 60.0;
        double r737100 = z;
        double r737101 = t;
        double r737102 = r737100 - r737101;
        double r737103 = r737099 / r737102;
        double r737104 = x;
        double r737105 = y;
        double r737106 = r737104 - r737105;
        double r737107 = r737103 * r737106;
        double r737108 = a;
        double r737109 = 120.0;
        double r737110 = r737108 * r737109;
        double r737111 = r737107 + r737110;
        return r737111;
}

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. Using strategy rm

  5. Applied associate-/r/0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2020045 
(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)))