Average Error: 2.3 → 2.4
Time: 4.7s
Precision: binary64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\left(\left(x - y\right) \cdot \frac{1}{z - y}\right) \cdot t\]
\frac{x - y}{z - y} \cdot t
↓
\left(\left(x - y\right) \cdot \frac{1}{z - y}\right) \cdot t
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (x - y)) / ((double) (z - y)))) * t));
}
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (x - y)) * ((double) (1.0 / ((double) (z - 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

Target

Original2.3
Target2.3
Herbie2.4
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.3

    \[\frac{x - y}{z - y} \cdot t\]
  2. Using strategy rm

  3. Applied div-inv2.4

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

  4. Final simplification2.4

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

Reproduce

herbie shell --seed 2020147 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"
  :precision binary64

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))