Average Error: 2.1 → 0.2
Time: 11.7s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{y - z}{\left(t - z\right) + 1} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r3519 = x;
        double r3520 = y;
        double r3521 = z;
        double r3522 = r3520 - r3521;
        double r3523 = t;
        double r3524 = r3523 - r3521;
        double r3525 = 1.0;
        double r3526 = r3524 + r3525;
        double r3527 = a;
        double r3528 = r3526 / r3527;
        double r3529 = r3522 / r3528;
        double r3530 = r3519 - r3529;
        return r3530;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r3531 = x;
        double r3532 = y;
        double r3533 = z;
        double r3534 = r3532 - r3533;
        double r3535 = t;
        double r3536 = r3535 - r3533;
        double r3537 = 1.0;
        double r3538 = r3536 + r3537;
        double r3539 = r3534 / r3538;
        double r3540 = a;
        double r3541 = r3539 * r3540;
        double r3542 = r3531 - r3541;
        return r3542;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.1
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 2.1

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  2. Using strategy rm

  3. Applied associate-/r/0.2

    \[\leadsto x - \color{blue}{\frac{y - z}{\left(t - z\right) + 1} \cdot a}\]

  4. Final simplification0.2

    \[\leadsto x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Reproduce

herbie shell --seed 2020025 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- x (* (/ (- y z) (+ (- t z) 1)) a))

  (- x (/ (- y z) (/ (+ (- t z) 1) a))))