Average Error: 0.4 → 0.1
Time: 4.3s
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 r934703 = 60.0;
        double r934704 = x;
        double r934705 = y;
        double r934706 = r934704 - r934705;
        double r934707 = r934703 * r934706;
        double r934708 = z;
        double r934709 = t;
        double r934710 = r934708 - r934709;
        double r934711 = r934707 / r934710;
        double r934712 = a;
        double r934713 = 120.0;
        double r934714 = r934712 * r934713;
        double r934715 = r934711 + r934714;
        return r934715;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r934716 = 60.0;
        double r934717 = x;
        double r934718 = z;
        double r934719 = t;
        double r934720 = r934718 - r934719;
        double r934721 = r934717 / r934720;
        double r934722 = y;
        double r934723 = r934722 / r934720;
        double r934724 = r934721 - r934723;
        double r934725 = r934716 * r934724;
        double r934726 = a;
        double r934727 = 120.0;
        double r934728 = r934726 * r934727;
        double r934729 = r934725 + r934728;
        return r934729;
}

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-frac0.1

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

  5. Simplified0.1

    \[\leadsto \color{blue}{60} \cdot \frac{x - y}{z - t} + a \cdot 120\]
  6. 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 2020049 
(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)))