Average Error: 0.4 → 0.1
Time: 9.9s
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 r869992 = 60.0;
        double r869993 = x;
        double r869994 = y;
        double r869995 = r869993 - r869994;
        double r869996 = r869992 * r869995;
        double r869997 = z;
        double r869998 = t;
        double r869999 = r869997 - r869998;
        double r870000 = r869996 / r869999;
        double r870001 = a;
        double r870002 = 120.0;
        double r870003 = r870001 * r870002;
        double r870004 = r870000 + r870003;
        return r870004;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r870005 = 60.0;
        double r870006 = x;
        double r870007 = y;
        double r870008 = r870006 - r870007;
        double r870009 = z;
        double r870010 = t;
        double r870011 = r870009 - r870010;
        double r870012 = r870008 / r870011;
        double r870013 = r870005 * r870012;
        double r870014 = a;
        double r870015 = 120.0;
        double r870016 = r870014 * r870015;
        double r870017 = r870013 + r870016;
        return r870017;
}

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

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019350 
(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)))