Details

Time bar (total: 2.2s)

analyze377.0ms

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

sample76.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
18.0ms31×body1280nan
8.0ms65×body80overflowed
8.0ms19×body640nan
4.0ms14×body320nan
1.0ms21×body80nan
1.0msbody160nan
0.0msbody80invalid

simplify373.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0465222
1465222

prune5.0ms

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: 0.4b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 2 PI.f64) n)
0.3b
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
0.3b
(/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac_binary64_4285
42×add-sqr-sqrt_binary64_4275 *-un-lft-identity_binary64_4290
33×add-cube-cbrt_binary64_4261
26×add-exp-log_binary64_4254
22×pow-unpow_binary64_4219
18×sqrt-prod_binary64_4269
14×pow1_binary64_4232
10×add-cbrt-cube_binary64_4262
prod-exp_binary64_4237
sqr-pow_binary64_4322 unpow-prod-down_binary64_4221
associate-/r*_binary64_4353 pow-prod-down_binary64_4213 pow-exp_binary64_4210 difference-of-squares_binary64_4319
associate-/l*_binary64_4354 div-exp_binary64_4239
pow-pow_binary64_4214 associate-*r*_binary64_4349 add-log-exp_binary64_4255 distribute-lft-out--_binary64_4335 cbrt-unprod_binary64_4259
pow-sub_binary64_4218 div-sub_binary64_4284 pow-to-exp_binary64_4211 div-inv_binary64_4291
*-commutative_binary64_4358 frac-2neg_binary64_4283 clear-num_binary64_4293 cbrt-undiv_binary64_4260 associate-*l*_binary64_4350 associate-/l/_binary64_4356
Counts
3 → 115
Calls
3 calls:
6.0ms
(*.f64 (*.f64 2 PI.f64) n)
12.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
218.0ms
(/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))

series953.0ms

Counts
3 → 9
Calls
3 calls:
222.0ms
(*.f64 (*.f64 2 PI.f64) n)
349.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
382.0ms
(/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
03702754
13702754
050382682
03702754
13702754
050382682
056862767
01402685
11402685
049282619
149282619
01402685
11402685
049282619
149282619
050272722
01031959
11031959
03011926
13011926
01031959
11031959
03011926
13011926
050792013

simplify126.0ms

Counts
124 → 124
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
0514110445

prune38.0ms

Filtered
84 candidates to 124 candidates (-47.6%)

Profiling

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