Average Error: 2.1 → 2.1
Time: 17.7s
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 r419989 = x;
        double r419990 = y;
        double r419991 = r419989 - r419990;
        double r419992 = z;
        double r419993 = r419992 - r419990;
        double r419994 = r419991 / r419993;
        double r419995 = t;
        double r419996 = r419994 * r419995;
        return r419996;
}
↓
double f(double x, double y, double z, double t) {
        double r419997 = x;
        double r419998 = y;
        double r419999 = r419997 - r419998;
        double r420000 = z;
        double r420001 = r420000 - r419998;
        double r420002 = r419999 / r420001;
        double r420003 = t;
        double r420004 = r420002 * r420003;
        return r420004;
}

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
Target2.1
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 2019325 
(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))