Details

Time bar (total: 1.3s)

sample25.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 75.009155%

Guaranteed chance to sample good point: 99.975577%

Results
13.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
20×sqrt-prod
7×associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp difference-of-squares
4×pow1 sqrt-div distribute-lft-out
3×associate-/r* div-inv
2×flip3-- flip-- associate-/l/
1×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)))
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
9.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
8.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0394713
11362690
25001672

prune168.0ms

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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New86187
Fresh000
Picked101
Done000
Total87188

Merged error: 0b

Counts
88 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)
0.0b
(pow (sqrt (- 1.0 (* x x))) 3)
0.0b
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
77×add-sqr-sqrt
69×times-frac
63×add-cube-cbrt *-un-lft-identity
52×sqrt-prod
42×unpow-prod-down cube-prod
23×associate-/l*
13×difference-of-squares
8×sqrt-div
7×pow1 add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube sqr-pow
4×cbrt-div flip3-- flip-- add-log-exp
3×pow-unpow pow-pow associate-/r*
2×sqrt-pow1 pow1/2 associate-/l/
1×cbrt-undiv pow-to-exp rem-sqrt-square frac-2neg pow1/3 div-exp pow-exp clear-num sqrt-pow2 rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 192
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
10.0ms
(/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)
5.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
5.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
7.0ms
(/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)
8.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
4.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

simplify72.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05311806
121351596
250011543

prune266.0ms

Filtered
106 candidates to 204 candidates (-92.5%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2040204
Fresh000
Picked011
Done000
Total2041205

Merged error: 0b

Counts
205 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample539.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 75.009155%

Guaranteed chance to sample good point: 99.975577%

Results
409.0ms8000×body80valid
0.0ms1×body80nan

Profiling

Loading profile data...