Average Error: 0.4 → 0.2
Time: 6.4s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{\frac{60}{z - t}}{\frac{1}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{\frac{60}{z - t}}{\frac{1}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r889162 = 60.0;
        double r889163 = x;
        double r889164 = y;
        double r889165 = r889163 - r889164;
        double r889166 = r889162 * r889165;
        double r889167 = z;
        double r889168 = t;
        double r889169 = r889167 - r889168;
        double r889170 = r889166 / r889169;
        double r889171 = a;
        double r889172 = 120.0;
        double r889173 = r889171 * r889172;
        double r889174 = r889170 + r889173;
        return r889174;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r889175 = 60.0;
        double r889176 = z;
        double r889177 = t;
        double r889178 = r889176 - r889177;
        double r889179 = r889175 / r889178;
        double r889180 = 1.0;
        double r889181 = x;
        double r889182 = y;
        double r889183 = r889181 - r889182;
        double r889184 = r889180 / r889183;
        double r889185 = r889179 / r889184;
        double r889186 = a;
        double r889187 = 120.0;
        double r889188 = r889186 * r889187;
        double r889189 = r889185 + r889188;
        return r889189;
}

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

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]
  4. Using strategy rm

  5. Applied div-inv0.2

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

  6. Applied associate-/r*0.2

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

  7. Final simplification0.2

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

Reproduce

herbie shell --seed 2020100 
(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)))