Average Error: 2.3 → 2.3
Time: 8.9s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\frac{x - y}{z - y} \cdot t\]
\frac{x - y}{z - y} \cdot t
↓
\frac{x - y}{z - y} \cdot t
double f(double x, double y, double z, double t) {
        double r1124375 = x;
        double r1124376 = y;
        double r1124377 = r1124375 - r1124376;
        double r1124378 = z;
        double r1124379 = r1124378 - r1124376;
        double r1124380 = r1124377 / r1124379;
        double r1124381 = t;
        double r1124382 = r1124380 * r1124381;
        return r1124382;
}
↓
double f(double x, double y, double z, double t) {
        double r1124383 = x;
        double r1124384 = y;
        double r1124385 = r1124383 - r1124384;
        double r1124386 = z;
        double r1124387 = r1124386 - r1124384;
        double r1124388 = r1124385 / r1124387;
        double r1124389 = t;
        double r1124390 = r1124388 * r1124389;
        return r1124390;
}

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

Derivation

  1. Initial program 2.3

    \[\frac{x - y}{z - y} \cdot t\]

  2. Final simplification2.3

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

Reproduce

herbie shell --seed 2020047 
(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))