Details

Time bar (total: 2.2s)

sample49.0ms

Algorithm
intervals
Results
24.0ms756×body80nan
10.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt
20×add-cube-cbrt
16×sqrt-prod
7×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out add-log-exp difference-of-squares
3×associate-/r* div-inv
2×pow1 sqrt-div associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-out flip3-- frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-- flip-+
Counts
2 → 62
Calls
2 calls:
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series422.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
320.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0329589
11044568
25001553

prune170.0ms

Filtered
68 candidates to 54 candidates (79.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.5s

Algorithm
intervals
Results
766.0ms24289×body80nan
305.0ms8000×body80valid