Average Error: 0.5 → 0.2
Time: 16.9s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{x - y}{z - t} \cdot 60 + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{x - y}{z - t} \cdot 60 + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r690387 = 60.0;
        double r690388 = x;
        double r690389 = y;
        double r690390 = r690388 - r690389;
        double r690391 = r690387 * r690390;
        double r690392 = z;
        double r690393 = t;
        double r690394 = r690392 - r690393;
        double r690395 = r690391 / r690394;
        double r690396 = a;
        double r690397 = 120.0;
        double r690398 = r690396 * r690397;
        double r690399 = r690395 + r690398;
        return r690399;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r690400 = x;
        double r690401 = y;
        double r690402 = r690400 - r690401;
        double r690403 = z;
        double r690404 = t;
        double r690405 = r690403 - r690404;
        double r690406 = r690402 / r690405;
        double r690407 = 60.0;
        double r690408 = r690406 * r690407;
        double r690409 = a;
        double r690410 = 120.0;
        double r690411 = r690409 * r690410;
        double r690412 = r690408 + r690411;
        return r690412;
}

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

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

Reproduce

herbie shell --seed 2019174 
(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)))