Details

Time bar (total: 786.0ms)

analyze390.0ms (49.6%)

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
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample81.0ms (10.3%)

Algorithm
intervals
Results
26.0ms256×body80valid
16.0ms27×body1280nan
10.0ms23×body640nan
9.0ms71×body80overflowed
6.0ms19×body320nan
1.0msbody160nan
1.0ms20×body80nan
1.0ms10×body80invalid
Compiler

Compiled 33 to 33 computations (0% saved)

simplify67.0ms (8.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0506722

prune6.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 2
Compiler

Compiled 44 to 41 computations (6.8% saved)

localize13.0ms (1.7%)

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))

rewrite46.0ms (5.8%)

Algorithm
rewrite-expression-head
Rules
72×add-exp-log_binary64 add-sqr-sqrt_binary64
62×times-frac_binary64
57×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
38×prod-exp_binary64
25×sqrt-prod_binary64
23×associate-*l*_binary64
22×pow-unpow_binary64
17×pow1_binary64
16×add-cbrt-cube_binary64
15×pow-exp_binary64
12×div-exp_binary64
10×unswap-sqr_binary64
associate-*r*_binary64
sqr-pow_binary64
pow-prod-down_binary64 associate-/r*_binary64 1-exp_binary64 difference-of-squares_binary64 rec-exp_binary64
pow-to-exp_binary64 cbrt-unprod_binary64
add-log-exp_binary64
pow-pow_binary64 div-sub_binary64 pow-sub_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 pow-flip_binary64
cbrt-undiv_binary64 unpow-prod-down_binary64 *-commutative_binary64
pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
Counts
4 → 172
Calls

4 calls:

14.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
13.0ms
(*.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)
5.0ms
(/.f64 1 (sqrt.f64 k))

series67.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))
18.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
8.0ms
(/.f64 1 (sqrt.f64 k))
4.0ms
(*.f64 (*.f64 2 PI.f64) n)

simplify77.0ms (9.8%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050523903

prune40.0ms (5%)

Profiling

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