Average Error: 17.0 → 16.5
Time: 6.8s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (x + ((double) (((double) (y * z)) / t)))) / ((double) (((double) (a + 1.0)) + ((double) (((double) (y * b)) / t))))));
}
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (((double) (x + ((double) (((double) (y * z)) / t)))) / ((double) (a + ((double) (1.0 + ((double) (((double) (((double) cbrt(b)) * ((double) cbrt(b)))) * ((double) (y * ((double) (((double) cbrt(b)) / t))))))))))));
}

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

Original17.0
Target13.6
Herbie16.5
\[\]

Derivation

  1. Initial program 17.0

    \[\]
  2. Using strategy rm
  3. Applied div-inv17.1

    \[\leadsto \]
  4. Simplified17.6

    \[\leadsto \]
  5. Using strategy rm
  6. Applied *-un-lft-identity17.6

    \[\leadsto \]
  7. Applied add-cube-cbrt17.8

    \[\leadsto \]
  8. Applied times-frac17.8

    \[\leadsto \]
  9. Applied associate-*l*16.6

    \[\leadsto \]
  10. Simplified16.6

    \[\leadsto \]
  11. Using strategy rm
  12. Applied un-div-inv16.5

    \[\leadsto \]
  13. Final simplification16.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z t a b)
  :name "Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (if (< t -1.3659085366310088e-271) (* 1.0 (* (+ x (* (/ y t) z)) (/ 1.0 (+ (+ a 1.0) (* (/ y t) b))))) (if (< t 3.036967103737246e-130) (/ z b) (* 1.0 (* (+ x (* (/ y t) z)) (/ 1.0 (+ (+ a 1.0) (* (/ y t) b)))))))

  (/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t))))