Average Error: 0.5 → 0.1
Time: 4.4s
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 r901824 = 60.0;
        double r901825 = x;
        double r901826 = y;
        double r901827 = r901825 - r901826;
        double r901828 = r901824 * r901827;
        double r901829 = z;
        double r901830 = t;
        double r901831 = r901829 - r901830;
        double r901832 = r901828 / r901831;
        double r901833 = a;
        double r901834 = 120.0;
        double r901835 = r901833 * r901834;
        double r901836 = r901832 + r901835;
        return r901836;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r901837 = 60.0;
        double r901838 = z;
        double r901839 = t;
        double r901840 = r901838 - r901839;
        double r901841 = r901837 / r901840;
        double r901842 = x;
        double r901843 = y;
        double r901844 = r901842 - r901843;
        double r901845 = r901841 * r901844;
        double r901846 = a;
        double r901847 = 120.0;
        double r901848 = r901846 * r901847;
        double r901849 = r901845 + r901848;
        return r901849;
}

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
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

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/0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020027 
(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)))