Average Error: 2.1 → 0.2
Time: 19.6s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - a \cdot \frac{y - z}{\left(t - z\right) + 1}\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - a \cdot \frac{y - z}{\left(t - z\right) + 1}
double f(double x, double y, double z, double t, double a) {
        double r15888751 = x;
        double r15888752 = y;
        double r15888753 = z;
        double r15888754 = r15888752 - r15888753;
        double r15888755 = t;
        double r15888756 = r15888755 - r15888753;
        double r15888757 = 1.0;
        double r15888758 = r15888756 + r15888757;
        double r15888759 = a;
        double r15888760 = r15888758 / r15888759;
        double r15888761 = r15888754 / r15888760;
        double r15888762 = r15888751 - r15888761;
        return r15888762;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r15888763 = x;
        double r15888764 = a;
        double r15888765 = y;
        double r15888766 = z;
        double r15888767 = r15888765 - r15888766;
        double r15888768 = t;
        double r15888769 = r15888768 - r15888766;
        double r15888770 = 1.0;
        double r15888771 = r15888769 + r15888770;
        double r15888772 = r15888767 / r15888771;
        double r15888773 = r15888764 * r15888772;
        double r15888774 = r15888763 - r15888773;
        return r15888774;
}

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

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3"

  :herbie-target
  (- x (* (/ (- y z) (+ (- t z) 1.0)) a))

  (- x (/ (- y z) (/ (+ (- t z) 1.0) a))))