Average Error: 0.5 → 0.2
Time: 4.6s
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 r813340 = 60.0;
        double r813341 = x;
        double r813342 = y;
        double r813343 = r813341 - r813342;
        double r813344 = r813340 * r813343;
        double r813345 = z;
        double r813346 = t;
        double r813347 = r813345 - r813346;
        double r813348 = r813344 / r813347;
        double r813349 = a;
        double r813350 = 120.0;
        double r813351 = r813349 * r813350;
        double r813352 = r813348 + r813351;
        return r813352;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r813353 = 60.0;
        double r813354 = x;
        double r813355 = y;
        double r813356 = r813354 - r813355;
        double r813357 = z;
        double r813358 = t;
        double r813359 = r813357 - r813358;
        double r813360 = r813356 / r813359;
        double r813361 = r813353 * r813360;
        double r813362 = a;
        double r813363 = 120.0;
        double r813364 = r813362 * r813363;
        double r813365 = r813361 + r813364;
        return r813365;
}

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

Derivation

  1. Initial program 0.5

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

  3. Applied *-un-lft-identity0.5

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

  4. Applied times-frac0.2

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

  5. Simplified0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2020081 
(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)))