Average Error: 0.1 → 0.3
Time: 5.2s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) cos(y)))) + ((double) (z * ((double) sin(y))))));
}
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x * ((double) pow(((double) pow(((double) cos(y)), 2.0)), 0.3333333333333333)))) * ((double) log(((double) exp(((double) cbrt(((double) cos(y)))))))))) + ((double) (z * ((double) sin(y))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.4

    \[\leadsto \]
  4. Applied associate-*r*0.4

    \[\leadsto \]
  5. Using strategy rm
  6. Applied pow1/316.3

    \[\leadsto \]
  7. Applied pow1/316.2

    \[\leadsto \]
  8. Applied pow-prod-down0.2

    \[\leadsto \]
  9. Simplified0.2

    \[\leadsto \]
  10. Using strategy rm
  11. Applied add-log-exp0.3

    \[\leadsto \]
  12. Final simplification0.3

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z)
  :name "Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3"
  :precision binary64
  (+ (* x (cos y)) (* z (sin y))))