Average Error: 0.4 → 0.1
Time: 17.0s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r625316 = 60.0;
        double r625317 = x;
        double r625318 = y;
        double r625319 = r625317 - r625318;
        double r625320 = r625316 * r625319;
        double r625321 = z;
        double r625322 = t;
        double r625323 = r625321 - r625322;
        double r625324 = r625320 / r625323;
        double r625325 = a;
        double r625326 = 120.0;
        double r625327 = r625325 * r625326;
        double r625328 = r625324 + r625327;
        return r625328;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r625329 = 60.0;
        double r625330 = x;
        double r625331 = y;
        double r625332 = r625330 - r625331;
        double r625333 = z;
        double r625334 = t;
        double r625335 = r625333 - r625334;
        double r625336 = r625332 / r625335;
        double r625337 = r625329 * r625336;
        double r625338 = a;
        double r625339 = 120.0;
        double r625340 = r625338 * r625339;
        double r625341 = r625337 + r625340;
        return r625341;
}

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

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.4

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120\]

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019304 
(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)))