Details

Time bar (total: 768.0ms)

analyze5.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 75.021358%

Guaranteed chance to sample good point: 99.975577%

sample18.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
pow1 sqrt-div distribute-lft-out
associate-/r* div-inv
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 → 78
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0394713
11362690
25002672

prune139.0ms

Filtered
70 candidates to 87 candidates (-24.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done000
Total87188

Merged error: 0b

Counts
88 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

analyze4.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 75.021358%

Guaranteed chance to sample good point: 99.975577%

sample495.0ms

Algorithm
intervals
Results
402.0ms8000×body80valid
0.0msbody80nan

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