Details

Time bar (total: 2.5s)

sample49.0ms

Algorithm
intervals
Results
23.0ms665×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize10.0ms

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)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
238×add-sqr-sqrt
193×associate-/l*
189×frac-add
161×*-un-lft-identity
140×sqrt-prod
97×add-cube-cbrt
93×associate-/r*
70×difference-of-squares
45×times-frac
31×frac-2neg clear-num
28×distribute-lft-out--
22×sqrt-div
20×associate-/l/
14×swap-sqr associate-*l* *-commutative unswap-sqr
11×flip3-- flip--
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 distribute-lft-out
3×div-inv
1×cbrt-undiv +-commutative rem-sqrt-square distribute-rgt-out sqrt-pow1 flip3-+ pow1/2 div-exp sum-log flip-+
Counts
3 → 296
Calls
3 calls:
8.0ms
(sqrt (- 1.0 (* x x)))
45.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
11.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series327.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(sqrt (- 1.0 (* x x)))
111.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
148.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
305 → 305
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016104367
150014303

prune472.0ms

Filtered
305 candidates to 168 candidates (44.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New3050305
Fresh000
Picked011
Done000
Total3051306

Merged error: 0b

Counts
306 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.4s

Algorithm
intervals
Results
735.0ms23995×body80nan
293.0ms8000×body80valid