Average Error: 0.4 → 0.2
Time: 12.7s
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 r638614 = 60.0;
        double r638615 = x;
        double r638616 = y;
        double r638617 = r638615 - r638616;
        double r638618 = r638614 * r638617;
        double r638619 = z;
        double r638620 = t;
        double r638621 = r638619 - r638620;
        double r638622 = r638618 / r638621;
        double r638623 = a;
        double r638624 = 120.0;
        double r638625 = r638623 * r638624;
        double r638626 = r638622 + r638625;
        return r638626;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r638627 = 60.0;
        double r638628 = x;
        double r638629 = y;
        double r638630 = r638628 - r638629;
        double r638631 = z;
        double r638632 = t;
        double r638633 = r638631 - r638632;
        double r638634 = r638630 / r638633;
        double r638635 = r638627 * r638634;
        double r638636 = a;
        double r638637 = 120.0;
        double r638638 = r638636 * r638637;
        double r638639 = r638635 + r638638;
        return r638639;
}

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
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019235 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))