Average Error: 0.5 → 0.1
Time: 14.4s
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 r591199 = 60.0;
        double r591200 = x;
        double r591201 = y;
        double r591202 = r591200 - r591201;
        double r591203 = r591199 * r591202;
        double r591204 = z;
        double r591205 = t;
        double r591206 = r591204 - r591205;
        double r591207 = r591203 / r591206;
        double r591208 = a;
        double r591209 = 120.0;
        double r591210 = r591208 * r591209;
        double r591211 = r591207 + r591210;
        return r591211;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r591212 = 60.0;
        double r591213 = x;
        double r591214 = y;
        double r591215 = r591213 - r591214;
        double r591216 = z;
        double r591217 = t;
        double r591218 = r591216 - r591217;
        double r591219 = r591215 / r591218;
        double r591220 = r591212 * r591219;
        double r591221 = a;
        double r591222 = 120.0;
        double r591223 = r591221 * r591222;
        double r591224 = r591220 + r591223;
        return r591224;
}

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

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-frac0.1

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

  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 2019209 
(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)))