Average Error: 0.7 → 1.0
Time: 7.4s
Precision: binary64
\[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
↓
\[1 - \frac{1}{\frac{\frac{y - z}{x}}{\frac{1}{y - t}}}\]
1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}
↓
1 - \frac{1}{\frac{\frac{y - z}{x}}{\frac{1}{y - t}}}
(FPCore (x y z t) :precision binary64 (- 1.0 (/ x (* (- y z) (- y t)))))
↓
(FPCore (x y z t)
 :precision binary64
 (- 1.0 (/ 1.0 (/ (/ (- y z) x) (/ 1.0 (- y t))))))
double code(double x, double y, double z, double t) {
	return 1.0 - (x / ((y - z) * (y - t)));
}
↓
double code(double x, double y, double z, double t) {
	return 1.0 - (1.0 / (((y - z) / x) / (1.0 / (y - t))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[1 - \frac{x}{\left(y - z\right) \cdot \left(y - t\right)}\]
  2. Using strategy rm

  3. Applied clear-num_binary640.7

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

  4. Simplified1.1

    \[\leadsto 1 - \frac{1}{\color{blue}{\frac{y - z}{\frac{x}{y - t}}}}\]
  5. Using strategy rm

  6. Applied div-inv_binary641.1

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

  7. Applied associate-/r*_binary641.0

    \[\leadsto 1 - \frac{1}{\color{blue}{\frac{\frac{y - z}{x}}{\frac{1}{y - t}}}}\]

  8. Final simplification1.0

    \[\leadsto 1 - \frac{1}{\frac{\frac{y - z}{x}}{\frac{1}{y - t}}}\]

Alternatives

Reproduce

herbie shell --seed 2021118 
(FPCore (x y z t)
  :name "Data.Random.Distribution.Triangular:triangularCDF from random-fu-0.2.6.2, A"
  :precision binary64
  (- 1.0 (/ x (* (- y z) (- y t)))))