Details

Time bar (total: 2.0s)

sample50.0ms

Algorithm
intervals
Results
25.0ms756×body80nan
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

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
36×times-frac
35×*-un-lft-identity
31×add-sqr-sqrt
27×add-cube-cbrt
16×sqrt-prod
13×fma-def
7×associate-/l*
4×add-exp-log add-cbrt-cube div-inv distribute-lft-out add-log-exp difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u sqrt-div log1p-expm1-u 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 → 79
Calls
2 calls:
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series230.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
128.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0344608
11103586
25001574

prune224.0ms

Filtered
85 candidates to 71 candidates (83.5%)
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

sample1.4s

Algorithm
intervals
Results
745.0ms24289×body80nan
290.0ms8000×body80valid