Average Error: 0.4 → 0.1
Time: 26.1s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r151031538 = 60.0;
        double r151031539 = x;
        double r151031540 = y;
        double r151031541 = r151031539 - r151031540;
        double r151031542 = r151031538 * r151031541;
        double r151031543 = z;
        double r151031544 = t;
        double r151031545 = r151031543 - r151031544;
        double r151031546 = r151031542 / r151031545;
        double r151031547 = a;
        double r151031548 = 120.0;
        double r151031549 = r151031547 * r151031548;
        double r151031550 = r151031546 + r151031549;
        return r151031550;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r151031551 = 60.0;
        double r151031552 = x;
        double r151031553 = z;
        double r151031554 = t;
        double r151031555 = r151031553 - r151031554;
        double r151031556 = r151031552 / r151031555;
        double r151031557 = y;
        double r151031558 = r151031557 / r151031555;
        double r151031559 = r151031556 - r151031558;
        double r151031560 = r151031551 * r151031559;
        double r151031561 = a;
        double r151031562 = 120.0;
        double r151031563 = r151031561 * r151031562;
        double r151031564 = r151031560 + r151031563;
        return r151031564;
}

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
Target0.1
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-frac0.2

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

  5. Simplified0.2

    \[\leadsto \color{blue}{60} \cdot \frac{x - y}{z - t} + a \cdot 120\]
  6. Using strategy rm

  7. Applied div-sub0.1

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

  8. Final simplification0.1

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

Reproduce

herbie shell --seed 2019173 
(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)))