Average Error: 2.1 → 2.1
Time: 17.2s
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 r22965580 = x;
        double r22965581 = y;
        double r22965582 = r22965580 - r22965581;
        double r22965583 = z;
        double r22965584 = r22965583 - r22965581;
        double r22965585 = r22965582 / r22965584;
        double r22965586 = t;
        double r22965587 = r22965585 * r22965586;
        return r22965587;
}
↓
double f(double x, double y, double z, double t) {
        double r22965588 = x;
        double r22965589 = y;
        double r22965590 = r22965588 - r22965589;
        double r22965591 = z;
        double r22965592 = r22965591 - r22965589;
        double r22965593 = r22965590 / r22965592;
        double r22965594 = t;
        double r22965595 = r22965593 * r22965594;
        return r22965595;
}

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

Original2.1
Target2.2
Herbie2.1
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.1

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

  2. Final simplification2.1

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

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"

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

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