Average Error: 0.4 → 0.1
Time: 7.3s
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 r494329 = 60.0;
        double r494330 = x;
        double r494331 = y;
        double r494332 = r494330 - r494331;
        double r494333 = r494329 * r494332;
        double r494334 = z;
        double r494335 = t;
        double r494336 = r494334 - r494335;
        double r494337 = r494333 / r494336;
        double r494338 = a;
        double r494339 = 120.0;
        double r494340 = r494338 * r494339;
        double r494341 = r494337 + r494340;
        return r494341;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r494342 = 60.0;
        double r494343 = x;
        double r494344 = y;
        double r494345 = r494343 - r494344;
        double r494346 = z;
        double r494347 = t;
        double r494348 = r494346 - r494347;
        double r494349 = r494345 / r494348;
        double r494350 = r494342 * r494349;
        double r494351 = a;
        double r494352 = 120.0;
        double r494353 = r494351 * r494352;
        double r494354 = r494350 + r494353;
        return r494354;
}

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 2019304 
(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)))