Average Error: 0.4 → 0.1
Time: 5.2s
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 r949355 = 60.0;
        double r949356 = x;
        double r949357 = y;
        double r949358 = r949356 - r949357;
        double r949359 = r949355 * r949358;
        double r949360 = z;
        double r949361 = t;
        double r949362 = r949360 - r949361;
        double r949363 = r949359 / r949362;
        double r949364 = a;
        double r949365 = 120.0;
        double r949366 = r949364 * r949365;
        double r949367 = r949363 + r949366;
        return r949367;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r949368 = 60.0;
        double r949369 = x;
        double r949370 = y;
        double r949371 = r949369 - r949370;
        double r949372 = z;
        double r949373 = t;
        double r949374 = r949372 - r949373;
        double r949375 = r949371 / r949374;
        double r949376 = r949368 * r949375;
        double r949377 = a;
        double r949378 = 120.0;
        double r949379 = r949377 * r949378;
        double r949380 = r949376 + r949379;
        return r949380;
}

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 2019353 
(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)))