Details

Time bar (total: 3.5s)

sample101.0ms

Algorithm
intervals
Results
61.0ms848×body80nan
22.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
36×times-frac
35×add-sqr-sqrt
29×add-cube-cbrt
20×sqrt-prod
13×fma-def
associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
pow1 sqrt-div div-inv distribute-lft-out
expm1-log1p-u associate-/r* log1p-expm1-u
flip3-- flip-- associate-/l/
cbrt-undiv +-commutative rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num sum-log flip-+
Counts
3 → 97
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
28.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series286.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(sqrt (- 1.0 (* x x)))
105.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
125.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0415739
11440714
25001698

prune283.0ms

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

sample2.7s

Algorithm
intervals
Results
1.7s23981×body80nan
685.0ms8000×body80valid