Details

Time bar (total: 1.9s)

sample49.0ms

Algorithm
intervals
Results
22.0ms742×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×times-frac
20×sqrt-prod
19×add-cube-cbrt *-un-lft-identity
7×associate-/l*
5×difference-of-squares
4×add-exp-log sqrt-div add-cbrt-cube
3×pow1 associate-/r*
2×flip3-- flip-- associate-/l/ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
2 → 61
Calls
2 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
13.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series185.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(sqrt (- 1.0 (* x x)))
127.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0294529
11051510
25001504

prune164.0ms

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

sample1.5s

Algorithm
intervals
Results
709.0ms24360×body80nan
296.0ms8000×body80valid