Average Error: 2.3 → 2.3
Time: 10.1s
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 r412540 = x;
        double r412541 = y;
        double r412542 = r412540 - r412541;
        double r412543 = z;
        double r412544 = r412543 - r412541;
        double r412545 = r412542 / r412544;
        double r412546 = t;
        double r412547 = r412545 * r412546;
        return r412547;
}
↓
double f(double x, double y, double z, double t) {
        double r412548 = x;
        double r412549 = y;
        double r412550 = r412548 - r412549;
        double r412551 = z;
        double r412552 = r412551 - r412549;
        double r412553 = r412550 / r412552;
        double r412554 = t;
        double r412555 = r412553 * r412554;
        return r412555;
}

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 +o rules:numerics
(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))