Average Error: 0.3 → 0.3
Time: 47.2s
Precision: 64
\[\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}\]
↓
\[\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}\]
\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}
↓
\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}
double f(double x, double y, double z, double t) {
        double r36149293 = x;
        double r36149294 = 0.5;
        double r36149295 = r36149293 * r36149294;
        double r36149296 = y;
        double r36149297 = r36149295 - r36149296;
        double r36149298 = z;
        double r36149299 = 2.0;
        double r36149300 = r36149298 * r36149299;
        double r36149301 = sqrt(r36149300);
        double r36149302 = r36149297 * r36149301;
        double r36149303 = t;
        double r36149304 = r36149303 * r36149303;
        double r36149305 = r36149304 / r36149299;
        double r36149306 = exp(r36149305);
        double r36149307 = r36149302 * r36149306;
        return r36149307;
}
↓
double f(double x, double y, double z, double t) {
        double r36149308 = x;
        double r36149309 = 0.5;
        double r36149310 = r36149308 * r36149309;
        double r36149311 = y;
        double r36149312 = r36149310 - r36149311;
        double r36149313 = z;
        double r36149314 = 2.0;
        double r36149315 = r36149313 * r36149314;
        double r36149316 = sqrt(r36149315);
        double r36149317 = r36149312 * r36149316;
        double r36149318 = t;
        double r36149319 = r36149318 * r36149318;
        double r36149320 = r36149319 / r36149314;
        double r36149321 = exp(r36149320);
        double r36149322 = r36149317 * r36149321;
        return r36149322;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot {\left(e^{1}\right)}^{\left(\frac{t \cdot t}{2}\right)}\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}\]

  2. Final simplification0.3

    \[\leadsto \left(\left(x \cdot 0.5 - y\right) \cdot \sqrt{z \cdot 2}\right) \cdot e^{\frac{t \cdot t}{2}}\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z t)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A"

  :herbie-target
  (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp 1.0) (/ (* t t) 2.0)))

  (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0))))