Average Error: 0.4 → 0.2
Time: 16.1s
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 r707794 = 60.0;
        double r707795 = x;
        double r707796 = y;
        double r707797 = r707795 - r707796;
        double r707798 = r707794 * r707797;
        double r707799 = z;
        double r707800 = t;
        double r707801 = r707799 - r707800;
        double r707802 = r707798 / r707801;
        double r707803 = a;
        double r707804 = 120.0;
        double r707805 = r707803 * r707804;
        double r707806 = r707802 + r707805;
        return r707806;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r707807 = 60.0;
        double r707808 = z;
        double r707809 = t;
        double r707810 = r707808 - r707809;
        double r707811 = x;
        double r707812 = y;
        double r707813 = r707811 - r707812;
        double r707814 = r707810 / r707813;
        double r707815 = r707807 / r707814;
        double r707816 = a;
        double r707817 = 120.0;
        double r707818 = r707816 * r707817;
        double r707819 = r707815 + r707818;
        return r707819;
}

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

Original0.4
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  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 2019194 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))