Average Error: 0.5 → 0.2
Time: 11.2s
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 r948090 = 60.0;
        double r948091 = x;
        double r948092 = y;
        double r948093 = r948091 - r948092;
        double r948094 = r948090 * r948093;
        double r948095 = z;
        double r948096 = t;
        double r948097 = r948095 - r948096;
        double r948098 = r948094 / r948097;
        double r948099 = a;
        double r948100 = 120.0;
        double r948101 = r948099 * r948100;
        double r948102 = r948098 + r948101;
        return r948102;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r948103 = 60.0;
        double r948104 = x;
        double r948105 = y;
        double r948106 = r948104 - r948105;
        double r948107 = z;
        double r948108 = t;
        double r948109 = r948107 - r948108;
        double r948110 = r948106 / r948109;
        double r948111 = r948103 * r948110;
        double r948112 = a;
        double r948113 = 120.0;
        double r948114 = r948112 * r948113;
        double r948115 = r948111 + r948114;
        return r948115;
}

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)))