Average Error: 0.4 → 0.2
Time: 4.1s
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 r933819 = 60.0;
        double r933820 = x;
        double r933821 = y;
        double r933822 = r933820 - r933821;
        double r933823 = r933819 * r933822;
        double r933824 = z;
        double r933825 = t;
        double r933826 = r933824 - r933825;
        double r933827 = r933823 / r933826;
        double r933828 = a;
        double r933829 = 120.0;
        double r933830 = r933828 * r933829;
        double r933831 = r933827 + r933830;
        return r933831;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r933832 = 60.0;
        double r933833 = x;
        double r933834 = y;
        double r933835 = r933833 - r933834;
        double r933836 = z;
        double r933837 = t;
        double r933838 = r933836 - r933837;
        double r933839 = r933835 / r933838;
        double r933840 = r933832 * r933839;
        double r933841 = a;
        double r933842 = 120.0;
        double r933843 = r933841 * r933842;
        double r933844 = r933840 + r933843;
        return r933844;
}

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 2020060 
(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)))