Average Error: 23.3 → 23.3
Time: 20.9s
Precision: 64
\[\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}\]
↓
\[\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}\]
\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}
↓
\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}
double f(double x, double y, double z, double t, double a, double b) {
        double r1472106 = x;
        double r1472107 = y;
        double r1472108 = r1472106 * r1472107;
        double r1472109 = z;
        double r1472110 = t;
        double r1472111 = a;
        double r1472112 = r1472110 - r1472111;
        double r1472113 = r1472109 * r1472112;
        double r1472114 = r1472108 + r1472113;
        double r1472115 = b;
        double r1472116 = r1472115 - r1472107;
        double r1472117 = r1472109 * r1472116;
        double r1472118 = r1472107 + r1472117;
        double r1472119 = r1472114 / r1472118;
        return r1472119;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r1472120 = x;
        double r1472121 = y;
        double r1472122 = r1472120 * r1472121;
        double r1472123 = z;
        double r1472124 = t;
        double r1472125 = a;
        double r1472126 = r1472124 - r1472125;
        double r1472127 = r1472123 * r1472126;
        double r1472128 = r1472122 + r1472127;
        double r1472129 = b;
        double r1472130 = r1472129 - r1472121;
        double r1472131 = r1472123 * r1472130;
        double r1472132 = r1472121 + r1472131;
        double r1472133 = r1472128 / r1472132;
        return r1472133;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original23.3
Target18.1
Herbie23.3
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.3

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

  2. Final simplification23.3

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

Reproduce

herbie shell --seed 2019198 
(FPCore (x y z t a b)
  :name "Development.Shake.Progress:decay from shake-0.15.5"

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

  (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))