Average Error: 0.4 → 0.2
Time: 6.8s
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 r534223 = 60.0;
        double r534224 = x;
        double r534225 = y;
        double r534226 = r534224 - r534225;
        double r534227 = r534223 * r534226;
        double r534228 = z;
        double r534229 = t;
        double r534230 = r534228 - r534229;
        double r534231 = r534227 / r534230;
        double r534232 = a;
        double r534233 = 120.0;
        double r534234 = r534232 * r534233;
        double r534235 = r534231 + r534234;
        return r534235;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r534236 = 60.0;
        double r534237 = z;
        double r534238 = t;
        double r534239 = r534237 - r534238;
        double r534240 = x;
        double r534241 = y;
        double r534242 = r534240 - r534241;
        double r534243 = r534239 / r534242;
        double r534244 = r534236 / r534243;
        double r534245 = a;
        double r534246 = 120.0;
        double r534247 = r534245 * r534246;
        double r534248 = r534244 + r534247;
        return r534248;
}

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 1978988140 
(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)))