Average Error: 0.3 → 0.2
Time: 1.1m
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 r44935953 = 60.0;
        double r44935954 = x;
        double r44935955 = y;
        double r44935956 = r44935954 - r44935955;
        double r44935957 = r44935953 * r44935956;
        double r44935958 = z;
        double r44935959 = t;
        double r44935960 = r44935958 - r44935959;
        double r44935961 = r44935957 / r44935960;
        double r44935962 = a;
        double r44935963 = 120.0;
        double r44935964 = r44935962 * r44935963;
        double r44935965 = r44935961 + r44935964;
        return r44935965;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r44935966 = 60.0;
        double r44935967 = z;
        double r44935968 = t;
        double r44935969 = r44935967 - r44935968;
        double r44935970 = x;
        double r44935971 = y;
        double r44935972 = r44935970 - r44935971;
        double r44935973 = r44935969 / r44935972;
        double r44935974 = r44935966 / r44935973;
        double r44935975 = a;
        double r44935976 = 120.0;
        double r44935977 = r44935975 * r44935976;
        double r44935978 = r44935974 + r44935977;
        return r44935978;
}

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

Original0.3
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.3

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  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 2019200 
(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)))