Average Error: 0.4 → 0.1
Time: 21.7s
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 r38954466 = 60.0;
        double r38954467 = x;
        double r38954468 = y;
        double r38954469 = r38954467 - r38954468;
        double r38954470 = r38954466 * r38954469;
        double r38954471 = z;
        double r38954472 = t;
        double r38954473 = r38954471 - r38954472;
        double r38954474 = r38954470 / r38954473;
        double r38954475 = a;
        double r38954476 = 120.0;
        double r38954477 = r38954475 * r38954476;
        double r38954478 = r38954474 + r38954477;
        return r38954478;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r38954479 = x;
        double r38954480 = y;
        double r38954481 = r38954479 - r38954480;
        double r38954482 = z;
        double r38954483 = t;
        double r38954484 = r38954482 - r38954483;
        double r38954485 = r38954481 / r38954484;
        double r38954486 = 60.0;
        double r38954487 = r38954485 * r38954486;
        double r38954488 = a;
        double r38954489 = 120.0;
        double r38954490 = r38954488 * r38954489;
        double r38954491 = r38954487 + r38954490;
        return r38954491;
}

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

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

Reproduce

herbie shell --seed 2019172 
(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)))