Average Error: 0.3 → 0.4
Time: 6.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (((double) (x * 0.5)) - y)) * ((double) sqrt(((double) (z * 2.0)))))) * ((double) exp(((double) (((double) (t * t)) / 2.0))))));
}

↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (((double) (((double) (x * 0.5)) - y)) * ((double) sqrt(((double) (z * ((double) sqrt(2.0)))))))) * ((double) sqrt(((double) sqrt(2.0)))))) * ((double) exp(((double) (((double) (t * t)) / 2.0))))));
}

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
Herbie0.4
\[\]
Derivation
  1. Initial program 0.3
    \[\]
  2. Using strategy rm
  3. Applied sqrt-prod0.5
    \[\leadsto \]
  4. Applied associate-*r*0.5
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-sqr-sqrt0.5
    \[\leadsto \]
  7. Applied sqrt-prod0.6
    \[\leadsto \]
  8. Applied associate-*r*0.6
    \[\leadsto \]
  9. Simplified0.6
    \[\leadsto \]
  10. Using strategy rm
  11. Applied sqrt-unprod0.4
    \[\leadsto \]
  12. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z t)
  :name "Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A"
  :precision binary64

  :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))))