Details

analyze436.0ms (7%)

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)

sample41.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	30×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify223.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	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

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))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_425`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
4×	`log-pow_binary64_508` `associate-/r*_binary64_363`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
1×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

Compiler

Compiled 426 to 103 computations (75.8% saved)

series229.0ms (3.7%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

225.0ms

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

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune39.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	31	9	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	11	42

Error

0.0b

Counts

42 → 11

Compiler

Compiled 594 to 175 computations (70.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_441`
26×	`times-frac_binary64_425`
21×	`*-un-lft-identity_binary64_419`
20×	`add-cube-cbrt_binary64_454`
16×	`associate-r_binary64_359`
15×	`add-exp-log_binary64_457`
12×	`pow1_binary64_480`
9×	`add-cbrt-cube_binary64_455`
7×	`log-pow_binary64_508`
4×	`div-exp_binary64_470` `prod-exp_binary64_468` `associate-/r*_binary64_363`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `div-inv_binary64_416`
1×	`pow-prod-down_binary64_490` `un-div-inv_binary64_417` `associate-r/_binary64_361` `-commutative_binary64_350` `inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 1091 to 530 computations (51.4% saved)

series319.0ms (5.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

223.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
90.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 282 to 225 computations (20.2% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5058	929

prune60.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	13	97

Error

0.0b

Counts

97 → 13

Compiler

Compiled 1159 to 474 computations (59.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite122.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`times-frac_binary64_425`
60×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
19×	`pow1_binary64_480` `associate-/r*_binary64_363`
16×	`log-pow_binary64_508`
15×	`add-exp-log_binary64_457`
9×	`add-cbrt-cube_binary64_455`
8×	`div-exp_binary64_470`
7×	`associate-/l*_binary64_364`
6×	`div-inv_binary64_416`
4×	`cbrt-undiv_binary64_453`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `add-log-exp_binary64_458` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `associate-/r/_binary64_365`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 2172 to 762 computations (64.9% saved)

series427.0ms (6.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

218.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
200.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 432 to 339 computations (21.5% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5084	2435

prune102.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	5	5	10
Picked	1	0	1
Done	0	2	2
Total	138	12	150

Error

0.0b

Counts

150 → 12

Compiler

Compiled 2120 to 596 computations (71.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.6b	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.7b	(pow.f64 (/.f64 1 (log.f64 base)) 3)

rewrite271.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

88×	`times-frac_binary64_425`
85×	`add-sqr-sqrt_binary64_441`
84×	`cbrt-prod_binary64_450`
68×	`*-un-lft-identity_binary64_419`
66×	`add-cube-cbrt_binary64_454`
51×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
41×	`associate-r_binary64_359`
31×	`pow1_binary64_480`
22×	`log-pow_binary64_508`
15×	`add-exp-log_binary64_457`
10×	`add-cbrt-cube_binary64_455`
9×	`unswap-sqr_binary64_387`
7×	`div-inv_binary64_416`
4×	`div-exp_binary64_470` `pow-exp_binary64_487` `add-log-exp_binary64_458` `sqr-pow_binary64_391` `associate-/r*_binary64_363`
3×	`pow-unpow_binary64_496` `pow-pow_binary64_491` `unpow3_binary64_485` `cube-mult_binary64_449` `cube-div_binary64_448` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`inv-pow_binary64_504` `pow-flip_binary64_493` `1-exp_binary64_463` `rec-exp_binary64_469` `rem-cube-cbrt_binary64_442` `cbrt-undiv_binary64_453` `cbrt-div_binary64_451`
1×	`pow-to-exp_binary64_488` `pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 204

Calls

4 calls:

19.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 4067 to 2543 computations (37.5% saved)

series524.0ms (8.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

221.0ms	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
121.0ms	(pow.f64 (/.f64 1 (log.f64 base)) 3)
90.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
81.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 522 to 439 computations (15.9% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	2477
1	4943	2477

prune168.0ms (2.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	222	12	234

Error

0.0b

Counts

234 → 12

Compiler

Compiled 3086 to 1612 computations (47.8% saved)

regimes554.0ms (8.8%)

Accuracy

Total 0.3b remaining (96.9%)

Threshold costs 0.3b (96.9%)

Compiler

Compiled 5666 to 3921 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.3s (37.1%)

Algorithm

1×

intervals

Results

810.0ms	8000×	body	128	valid
92.0ms	952×	body	128	nan

Compiler

Compiled 1155 to 801 computations (30.6% saved)

Details

analyze436.0ms (7%)

sample41.0ms (0.7%)

simplify223.0ms (3.6%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite33.0ms (0.5%)

series229.0ms (3.7%)

simplify69.0ms (1.1%)

prune39.0ms (0.6%)

localize8.0ms (0.1%)

rewrite73.0ms (1.2%)

series319.0ms (5.1%)

simplify61.0ms (1%)

prune60.0ms (1%)

localize7.0ms (0.1%)

rewrite122.0ms (1.9%)

series427.0ms (6.8%)

simplify74.0ms (1.2%)

prune102.0ms (1.6%)

localize11.0ms (0.2%)

rewrite271.0ms (4.3%)

series524.0ms (8.4%)

simplify76.0ms (1.2%)

prune168.0ms (2.7%)

regimes554.0ms (8.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (37.1%)

Profiling