Average Error: 1.9 → 0.2
Time: 20.5s
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 r523136 = x;
        double r523137 = y;
        double r523138 = z;
        double r523139 = r523137 - r523138;
        double r523140 = t;
        double r523141 = r523140 - r523138;
        double r523142 = 1.0;
        double r523143 = r523141 + r523142;
        double r523144 = a;
        double r523145 = r523143 / r523144;
        double r523146 = r523139 / r523145;
        double r523147 = r523136 - r523146;
        return r523147;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r523148 = x;
        double r523149 = a;
        double r523150 = y;
        double r523151 = z;
        double r523152 = r523150 - r523151;
        double r523153 = t;
        double r523154 = r523153 - r523151;
        double r523155 = 1.0;
        double r523156 = r523154 + r523155;
        double r523157 = r523152 / r523156;
        double r523158 = r523149 * r523157;
        double r523159 = r523148 - r523158;
        return r523159;
}

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

Original1.9
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 1.9

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  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 2019174 
(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))))