Average Error: 23.0 → 23.0
Time: 7.3s
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 r919289 = x;
        double r919290 = y;
        double r919291 = r919289 * r919290;
        double r919292 = z;
        double r919293 = t;
        double r919294 = a;
        double r919295 = r919293 - r919294;
        double r919296 = r919292 * r919295;
        double r919297 = r919291 + r919296;
        double r919298 = b;
        double r919299 = r919298 - r919290;
        double r919300 = r919292 * r919299;
        double r919301 = r919290 + r919300;
        double r919302 = r919297 / r919301;
        return r919302;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r919303 = x;
        double r919304 = y;
        double r919305 = r919303 * r919304;
        double r919306 = z;
        double r919307 = t;
        double r919308 = a;
        double r919309 = r919307 - r919308;
        double r919310 = r919306 * r919309;
        double r919311 = r919305 + r919310;
        double r919312 = b;
        double r919313 = r919312 - r919304;
        double r919314 = r919306 * r919313;
        double r919315 = r919304 + r919314;
        double r919316 = r919311 / r919315;
        return r919316;
}

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

Original23.0
Target17.7
Herbie23.0
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.0

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

  2. Final simplification23.0

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

Reproduce

herbie shell --seed 2020089 
(FPCore (x y z t a b)
  :name "Development.Shake.Progress:decay from shake-0.15.5"
  :precision binary64

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

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