Average Error: 0.5 → 0.2
Time: 21.4s
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 r61759471 = 60.0;
        double r61759472 = x;
        double r61759473 = y;
        double r61759474 = r61759472 - r61759473;
        double r61759475 = r61759471 * r61759474;
        double r61759476 = z;
        double r61759477 = t;
        double r61759478 = r61759476 - r61759477;
        double r61759479 = r61759475 / r61759478;
        double r61759480 = a;
        double r61759481 = 120.0;
        double r61759482 = r61759480 * r61759481;
        double r61759483 = r61759479 + r61759482;
        return r61759483;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r61759484 = 60.0;
        double r61759485 = x;
        double r61759486 = y;
        double r61759487 = r61759485 - r61759486;
        double r61759488 = z;
        double r61759489 = t;
        double r61759490 = r61759488 - r61759489;
        double r61759491 = r61759487 / r61759490;
        double r61759492 = r61759484 * r61759491;
        double r61759493 = a;
        double r61759494 = 120.0;
        double r61759495 = r61759493 * r61759494;
        double r61759496 = r61759492 + r61759495;
        return r61759496;
}

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 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)))