Details

Time bar (total: 1.0s)

analyze398.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
12.5%37.5%50%5
15.6%31.2%53.2%6
17.2%26.5%56.3%7
18%22.6%59.4%8
18.3%19.9%61.8%9
18.5%17.8%63.7%10
18.6%16.3%65.1%11
18.7%15.2%66.1%12
18.7%14.4%66.9%13
18.7%13.8%67.4%14

sample88.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
21.0ms27×body1280nan
10.0ms23×body640nan
10.0ms71×body80overflowed
6.0ms19×body320nan
1.0msbody160nan
1.0ms20×body80nan
1.0ms10×body80invalid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0464422
1464422

prune18.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))
0.3b
(*.f64 (*.f64 2 PI.f64) n)
0.3b
(/.f64 1 (sqrt.f64 k))
0.5b
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt_binary64_559
62×times-frac_binary64_569
59×add-exp-log_binary64_538
57×*-un-lft-identity_binary64_574
44×add-cube-cbrt_binary64_545
30×prod-exp_binary64_525
25×sqrt-prod_binary64_553
23×associate-*l*_binary64_634
22×pow-unpow_binary64_507
17×pow1_binary64_520
16×add-cbrt-cube_binary64_546
12×pow-exp_binary64_498
10×unswap-sqr_binary64_602
associate-*r*_binary64_633
sqr-pow_binary64_606
div-exp_binary64_527 rec-exp_binary64_526 associate-/r*_binary64_637 difference-of-squares_binary64_603 pow-prod-down_binary64_501
cbrt-unprod_binary64_543
pow-to-exp_binary64_499 add-log-exp_binary64_539
div-inv_binary64_575 associate-/l*_binary64_638 pow-flip_binary64_504 pow-sub_binary64_506 distribute-lft-out--_binary64_619 pow-pow_binary64_502 div-sub_binary64_568
unpow-prod-down_binary64_509 *-commutative_binary64_642 cbrt-undiv_binary64_544
frac-times_binary64_566 inv-pow_binary64_496 sqrt-pow1_binary64_555 frac-2neg_binary64_567 clear-num_binary64_577 pow1/2_binary64_510 associate-*l/_binary64_636 associate-*r/_binary64_635
Counts
4 → 166
Calls
4 calls:
12.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))
5.0ms
(*.f64 (*.f64 2 PI.f64) n)
4.0ms
(/.f64 1 (sqrt.f64 k))
11.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))

series269.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))
20.0ms
(*.f64 (*.f64 2 PI.f64) n)
30.0ms
(/.f64 1 (sqrt.f64 k))
87.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))

simplify76.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053223722

prune53.0ms

Filtered
106 candidates to 178 candidates (-67.9%)

Profiling

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