Average Error: 0.5 → 0.1
Time: 17.2s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{x - y}{z - t} \cdot 60.0 + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{x - y}{z - t} \cdot 60.0 + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r40659363 = 60.0;
        double r40659364 = x;
        double r40659365 = y;
        double r40659366 = r40659364 - r40659365;
        double r40659367 = r40659363 * r40659366;
        double r40659368 = z;
        double r40659369 = t;
        double r40659370 = r40659368 - r40659369;
        double r40659371 = r40659367 / r40659370;
        double r40659372 = a;
        double r40659373 = 120.0;
        double r40659374 = r40659372 * r40659373;
        double r40659375 = r40659371 + r40659374;
        return r40659375;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r40659376 = x;
        double r40659377 = y;
        double r40659378 = r40659376 - r40659377;
        double r40659379 = z;
        double r40659380 = t;
        double r40659381 = r40659379 - r40659380;
        double r40659382 = r40659378 / r40659381;
        double r40659383 = 60.0;
        double r40659384 = r40659382 * r40659383;
        double r40659385 = a;
        double r40659386 = 120.0;
        double r40659387 = r40659385 * r40659386;
        double r40659388 = r40659384 + r40659387;
        return r40659388;
}

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
Herbie0.1
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

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 *-un-lft-identity0.5

    \[\leadsto \frac{60.0 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120.0\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60.0}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120.0\]

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019165 
(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)))