Details

Time bar (total: 11.4s)

sample162.0ms

Algorithm
intervals
Results
62.0ms126×body160valid
44.0ms121×body320valid
26.0ms238×body80nan
1.0msbody80valid

simplify11.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
01937
14437
212536
331436
463336
5102336
6132536
7162836
8298836
done500136

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize22.0ms

Local error

Found 4 expressions with local error:

6.8b
(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
10.4b
(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
28.2b
(sqrt (- (* g g) (* h h)))
28.2b
(sqrt (- (* g g) (* h h)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt flip3-- *-un-lft-identity flip--
add-exp-log expm1-log1p-u frac-times sqrt-div associate-*r/ add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 associate-*l/ difference-of-squares
Counts
4 → 68
Calls
4 calls:
52.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (sqrt (- (* g g) (* h h))) g)))
35.0ms
(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
17.0ms
(sqrt (- (* g g) (* h h)))
12.0ms
(sqrt (- (* g g) (* h h)))

series0.0ms