Average Error: 0.5 → 0.2
Time: 15.1s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r18218146 = 60.0;
        double r18218147 = x;
        double r18218148 = y;
        double r18218149 = r18218147 - r18218148;
        double r18218150 = r18218146 * r18218149;
        double r18218151 = z;
        double r18218152 = t;
        double r18218153 = r18218151 - r18218152;
        double r18218154 = r18218150 / r18218153;
        double r18218155 = a;
        double r18218156 = 120.0;
        double r18218157 = r18218155 * r18218156;
        double r18218158 = r18218154 + r18218157;
        return r18218158;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r18218159 = 60.0;
        double r18218160 = z;
        double r18218161 = t;
        double r18218162 = r18218160 - r18218161;
        double r18218163 = x;
        double r18218164 = y;
        double r18218165 = r18218163 - r18218164;
        double r18218166 = r18218162 / r18218165;
        double r18218167 = r18218159 / r18218166;
        double r18218168 = a;
        double r18218169 = 120.0;
        double r18218170 = r18218168 * r18218169;
        double r18218171 = r18218167 + r18218170;
        return r18218171;
}

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
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

  1. Initial program 0.5

    \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60.0}{\frac{z - t}{x - y}}} + a \cdot 120.0\]

  4. Final simplification0.2

    \[\leadsto \frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Reproduce

herbie shell --seed 2019156 
(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)))