Average Error: 6.7 → 1.9
Time: 4.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * 2.0)) / ((double) (((double) (y * z)) - ((double) (t * z))))));
}

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

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
Original6.7
Target2.2
Herbie1.9
\[\]
Derivation
  1. Initial program 6.7
    \[\]
  2. Simplified5.6
    \[\leadsto \]
  3. Using strategy rm
  4. Applied associate-/r*5.3
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-cube-cbrt5.9
    \[\leadsto \]
  7. Applied add-cube-cbrt6.1
    \[\leadsto \]
  8. Applied add-sqr-sqrt6.2
    \[\leadsto \]
  9. Applied times-frac6.2
    \[\leadsto \]
  10. Applied times-frac6.2
    \[\leadsto \]
  11. Applied associate-*r*1.7
    \[\leadsto \]
  12. Simplified1.9
    \[\leadsto \]
  13. Final simplification1.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z t)
  :name "Linear.Projection:infinitePerspective from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (if (< (/ (* x 2.0) (- (* y z) (* t z))) -2.559141628295061e-13) (* (/ x (* (- y t) z)) 2.0) (if (< (/ (* x 2.0) (- (* y z) (* t z))) 1.0450278273301259e-269) (/ (* (/ x z) 2.0) (- y t)) (* (/ x (* (- y t) z)) 2.0)))

  (/ (* x 2.0) (- (* y z) (* t z))))