Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[x + \left(y - z\right) \cdot \left(t - x\right)\]
↓
\[x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)\]
x + \left(y - z\right) \cdot \left(t - x\right)
↓
x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)
double f(double x, double y, double z, double t) {
        double r905490 = x;
        double r905491 = y;
        double r905492 = z;
        double r905493 = r905491 - r905492;
        double r905494 = t;
        double r905495 = r905494 - r905490;
        double r905496 = r905493 * r905495;
        double r905497 = r905490 + r905496;
        return r905497;
}
↓
double f(double x, double y, double z, double t) {
        double r905498 = x;
        double r905499 = y;
        double r905500 = z;
        double r905501 = r905499 - r905500;
        double r905502 = t;
        double r905503 = r905501 * r905502;
        double r905504 = -r905498;
        double r905505 = r905501 * r905504;
        double r905506 = r905503 + r905505;
        double r905507 = r905498 + r905506;
        return r905507;
}

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

Original0.0
Target0.0
Herbie0.0
\[x + \left(t \cdot \left(y - z\right) + \left(-x\right) \cdot \left(y - z\right)\right)\]

Derivation

  1. Initial program 0.0

    \[x + \left(y - z\right) \cdot \left(t - x\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

    \[\leadsto x + \left(\left(y - z\right) \cdot t + \left(y - z\right) \cdot \left(-x\right)\right)\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z t)
  :name "Data.Metrics.Snapshot:quantile from metrics-0.3.0.2"
  :precision binary64

  :herbie-target
  (+ x (+ (* t (- y z)) (* (- x) (- y z))))

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