Average Error: 0.5 → 0.1
Time: 5.8s
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 r897807 = 60.0;
        double r897808 = x;
        double r897809 = y;
        double r897810 = r897808 - r897809;
        double r897811 = r897807 * r897810;
        double r897812 = z;
        double r897813 = t;
        double r897814 = r897812 - r897813;
        double r897815 = r897811 / r897814;
        double r897816 = a;
        double r897817 = 120.0;
        double r897818 = r897816 * r897817;
        double r897819 = r897815 + r897818;
        return r897819;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r897820 = 60.0;
        double r897821 = x;
        double r897822 = y;
        double r897823 = r897821 - r897822;
        double r897824 = z;
        double r897825 = t;
        double r897826 = r897824 - r897825;
        double r897827 = r897823 / r897826;
        double r897828 = r897820 * r897827;
        double r897829 = a;
        double r897830 = 120.0;
        double r897831 = r897829 * r897830;
        double r897832 = r897828 + r897831;
        return r897832;
}

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
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

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-frac0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020001 
(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)))