Average Error: 0.4 → 0.2
Time: 12.5s
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 r610931 = 60.0;
        double r610932 = x;
        double r610933 = y;
        double r610934 = r610932 - r610933;
        double r610935 = r610931 * r610934;
        double r610936 = z;
        double r610937 = t;
        double r610938 = r610936 - r610937;
        double r610939 = r610935 / r610938;
        double r610940 = a;
        double r610941 = 120.0;
        double r610942 = r610940 * r610941;
        double r610943 = r610939 + r610942;
        return r610943;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r610944 = 60.0;
        double r610945 = z;
        double r610946 = t;
        double r610947 = r610945 - r610946;
        double r610948 = x;
        double r610949 = y;
        double r610950 = r610948 - r610949;
        double r610951 = r610947 / r610950;
        double r610952 = r610944 / r610951;
        double r610953 = a;
        double r610954 = 120.0;
        double r610955 = r610953 * r610954;
        double r610956 = r610952 + r610955;
        return r610956;
}

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 2019294 
(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)))