Average Error: 2.3 → 0.3
Time: 20.4s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{1}{\frac{1 + \left(t - z\right)}{y - z}} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{1}{\frac{1 + \left(t - z\right)}{y - z}} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r25068094 = x;
        double r25068095 = y;
        double r25068096 = z;
        double r25068097 = r25068095 - r25068096;
        double r25068098 = t;
        double r25068099 = r25068098 - r25068096;
        double r25068100 = 1.0;
        double r25068101 = r25068099 + r25068100;
        double r25068102 = a;
        double r25068103 = r25068101 / r25068102;
        double r25068104 = r25068097 / r25068103;
        double r25068105 = r25068094 - r25068104;
        return r25068105;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r25068106 = x;
        double r25068107 = 1.0;
        double r25068108 = 1.0;
        double r25068109 = t;
        double r25068110 = z;
        double r25068111 = r25068109 - r25068110;
        double r25068112 = r25068108 + r25068111;
        double r25068113 = y;
        double r25068114 = r25068113 - r25068110;
        double r25068115 = r25068112 / r25068114;
        double r25068116 = r25068107 / r25068115;
        double r25068117 = a;
        double r25068118 = r25068116 * r25068117;
        double r25068119 = r25068106 - r25068118;
        return r25068119;
}

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

Original2.3
Target0.2
Herbie0.3
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 2.3

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

  5. Applied clear-num0.3

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

  6. Final simplification0.3

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

Reproduce

herbie shell --seed 2019169 
(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))))