Details

Time bar (total: 2.3s)

analyze401.0ms

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

sample91.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms30×body1280nan
16.0ms36×body640nan
15.0ms82×body80overflowed
4.0ms12×body320nan
2.0ms33×body80nan
1.0msbody160nan
1.0msbody80invalid

simplify338.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0465222
1465222

prune4.0ms

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: 0.3b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac_binary64_4145
42×add-sqr-sqrt_binary64_4135 *-un-lft-identity_binary64_4150
33×add-cube-cbrt_binary64_4121
26×add-exp-log_binary64_4114
22×pow-unpow_binary64_4079
18×sqrt-prod_binary64_4129
14×pow1_binary64_4092
10×add-cbrt-cube_binary64_4122
prod-exp_binary64_4097
sqr-pow_binary64_4182 unpow-prod-down_binary64_4081
difference-of-squares_binary64_4179 pow-exp_binary64_4070 associate-/r*_binary64_4213 pow-prod-down_binary64_4073
div-exp_binary64_4099 associate-/l*_binary64_4214
distribute-lft-out--_binary64_4195 cbrt-unprod_binary64_4119 pow-pow_binary64_4074 associate-*r*_binary64_4209 add-log-exp_binary64_4115
div-sub_binary64_4144 pow-to-exp_binary64_4071 pow-sub_binary64_4078 div-inv_binary64_4151
associate-*l*_binary64_4210 clear-num_binary64_4153 associate-/l/_binary64_4216 *-commutative_binary64_4218 cbrt-undiv_binary64_4120 frac-2neg_binary64_4143
Counts
3 → 115
Calls
3 calls:
9.0ms
(/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
6.0ms
(*.f64 (*.f64 2 PI.f64) n)
206.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))

series1.0s

Counts
3 → 9
Calls
3 calls:
362.0ms
(/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
333.0ms
(*.f64 (*.f64 2 PI.f64) n)
327.0ms
(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
01442685
11442685
047672619
147672619
01442685
11442685
047672619
147672619
050272722
01291959
11291959
060711926
01291959
11291959
060711926
050792013
03742754
13742754
048572682
148572682
03742754
13742754
048572682
148572682
056862767

simplify126.0ms

Counts
124 → 124
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
0514110445

prune38.0ms

Filtered
84 candidates to 124 candidates (-47.6%)

Profiling

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