Details

analyze439.0ms (9.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
1.0ms	14×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify272.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4957	9
1	4957	9

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_420`
10×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
5×	`pow1_binary64_472`
4×	`log-pow_binary64_500` `associate-/r*_binary64_360`
3×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `associate-/l*_binary64_361`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `add-log-exp_binary64_450` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

1 → 31

Calls

1 calls:

4.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

series95.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

95.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4931	518
1	4931	518

prune38.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	9	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	11	36

Merged error: 0.0b

Counts

36 → 11

Compiler

Compiled 542 to 173 computations (68.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.3b	(/.f64 1 (log.f64 base))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_435`
26×	`times-frac_binary64_420`
21×	`*-un-lft-identity_binary64_414`
20×	`add-cube-cbrt_binary64_446`
16×	`associate-r_binary64_356`
15×	`add-exp-log_binary64_449`
12×	`pow1_binary64_472`
9×	`add-cbrt-cube_binary64_447`
7×	`log-pow_binary64_500`
4×	`prod-exp_binary64_460` `div-exp_binary64_462` `associate-/r*_binary64_360`
3×	`associate-l_binary64_357` `unswap-sqr_binary64_382` `associate-/l*_binary64_361`
2×	`1-exp_binary64_455` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `rec-exp_binary64_461` `add-log-exp_binary64_450` `cbrt-unprod_binary64_444`
1×	`clear-num_binary64_413` `inv-pow_binary64_496` `pow-flip_binary64_485` `un-div-inv_binary64_412` `-commutative_binary64_347` `pow-prod-down_binary64_482` `frac-2neg_binary64_425` `associate-r/_binary64_358`

Counts

2 → 74

Calls

2 calls:

9.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
4.0ms	(/.f64 1 (log.f64 base))

series227.0ms (5%)

Counts

2 → 6

Calls

2 calls:

146.0ms	(/.f64 1 (log.f64 base))
81.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5118	875

prune64.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	13	91

Merged error: 0.0b

Counts

91 → 13

Compiler

Compiled 1101 to 468 computations (57.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_420`
60×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
19×	`pow1_binary64_472` `associate-/r*_binary64_360`
16×	`log-pow_binary64_500`
15×	`add-exp-log_binary64_449`
9×	`add-cbrt-cube_binary64_447`
8×	`div-exp_binary64_462`
7×	`associate-/l*_binary64_361`
6×	`div-inv_binary64_411`
4×	`cbrt-undiv_binary64_445`
2×	`1-exp_binary64_455` `clear-num_binary64_413` `rec-exp_binary64_461` `add-log-exp_binary64_450` `frac-2neg_binary64_425`
1×	`associate-/r/_binary64_362` `inv-pow_binary64_496` `pow-flip_binary64_485`

Counts

2 → 119

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series189.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
93.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2327
1	4990	2327

prune94.0ms (2.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	3	7	10
Picked	0	1	1
Done	0	2	2
Total	124	14	138

Merged error: 0.0b

Counts

138 → 14

Compiler

Compiled 2023 to 575 computations (71.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.3b	(/.f64 1 (log.f64 base))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)
0.7b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`times-frac_binary64_420`
85×	`add-sqr-sqrt_binary64_435`
84×	`cbrt-prod_binary64_442`
68×	`*-un-lft-identity_binary64_414`
66×	`add-cube-cbrt_binary64_446`
51×	`cube-prod_binary64_439` `unpow-prod-down_binary64_490`
41×	`associate-r_binary64_356`
31×	`pow1_binary64_472`
22×	`log-pow_binary64_500`
15×	`add-exp-log_binary64_449`
10×	`add-cbrt-cube_binary64_447`
9×	`unswap-sqr_binary64_382`
7×	`div-inv_binary64_411`
4×	`sqr-pow_binary64_386` `pow-exp_binary64_479` `add-log-exp_binary64_450` `div-exp_binary64_462` `associate-/r*_binary64_360`
3×	`cube-mult_binary64_441` `pow-unpow_binary64_488` `pow-pow_binary64_483` `associate-l_binary64_357` `unpow3_binary64_477` `associate-/l*_binary64_361` `cube-div_binary64_440`
2×	`1-exp_binary64_455` `inv-pow_binary64_496` `cbrt-div_binary64_443` `pow-flip_binary64_485` `cbrt-undiv_binary64_445` `rec-exp_binary64_461` `rem-cube-cbrt_binary64_436`
1×	`clear-num_binary64_413` `-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `rem-cbrt-cube_binary64_437` `pow-to-exp_binary64_480` `frac-2neg_binary64_425` `pow1/3_binary64_493` `cbrt-unprod_binary64_444` `associate-r/_binary64_358`

Counts

4 → 204

Calls

4 calls:

18.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
4.0ms	(/.f64 1 (log.f64 base))

series564.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
143.0ms	(/.f64 1 (log.f64 base))
138.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
80.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4943	2423
1	4943	2423

prune167.0ms (3.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	10	10
Picked	0	1	1
Done	0	3	3
Total	216	14	230

Merged error: 0.0b

Counts

230 → 14

Compiler

Compiled 3050 to 1612 computations (47.1% saved)

regimes270.0ms (5.9%)

Compiler: Compiled 2231 to 1666 computations (25.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.7s (36.9%)

Algorithm

1×

intervals

Results

836.0ms	8000×	body	128	valid
101.0ms	1017×	body	128	nan

Compiler

Compiled 468 to 350 computations (25.2% saved)

Details

analyze439.0ms (9.6%)

sample39.0ms (0.9%)

simplify272.0ms (6%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.2%)

series95.0ms (2.1%)

simplify67.0ms (1.5%)

prune38.0ms (0.8%)

localize8.0ms (0.2%)

rewrite18.0ms (0.4%)

series227.0ms (5%)

simplify62.0ms (1.4%)

prune64.0ms (1.4%)

localize8.0ms (0.2%)

rewrite22.0ms (0.5%)

series189.0ms (4.1%)

simplify74.0ms (1.6%)

prune94.0ms (2.1%)

localize11.0ms (0.2%)

rewrite58.0ms (1.3%)

series564.0ms (12.4%)

simplify74.0ms (1.6%)

prune167.0ms (3.7%)

regimes270.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (36.9%)

Profiling