Average Error: 0.5 → 0.2
Time: 8.4s
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 r808047 = 60.0;
        double r808048 = x;
        double r808049 = y;
        double r808050 = r808048 - r808049;
        double r808051 = r808047 * r808050;
        double r808052 = z;
        double r808053 = t;
        double r808054 = r808052 - r808053;
        double r808055 = r808051 / r808054;
        double r808056 = a;
        double r808057 = 120.0;
        double r808058 = r808056 * r808057;
        double r808059 = r808055 + r808058;
        return r808059;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r808060 = 60.0;
        double r808061 = x;
        double r808062 = y;
        double r808063 = r808061 - r808062;
        double r808064 = z;
        double r808065 = t;
        double r808066 = r808064 - r808065;
        double r808067 = r808063 / r808066;
        double r808068 = r808060 * r808067;
        double r808069 = a;
        double r808070 = 120.0;
        double r808071 = r808069 * r808070;
        double r808072 = r808068 + r808071;
        return r808072;
}

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
Target0.1
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

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-frac0.2

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

  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 2020046 
(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)))