Details

analyze589.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4994	76
1	4994	76
0	3	3
1	3	3

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 (0.7%)

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)

simplify107.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5740	19

prune7.0ms (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

33.7b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
31.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
21×	`pow1_binary64_480`
17×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
5×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `sqrt-prod_binary64_435`
2×	`log-div_binary64_506` `div-sub_binary64_424`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `rem-sqrt-square_binary64_432` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series147.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
26.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
22.0ms	(+.f64 (.f64 re re) (.f64 im im))

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5313	1833

prune92.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	10	85

Error

0.5b

Counts

85 → 10

Compiler

Compiled 1713 to 433 computations (74.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (log.f64 im) (log.f64 base))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`times-frac_binary64_425`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow1_binary64_480`
10×	`log-pow_binary64_508`
4×	`associate-/r_binary64_363` `associate-/l_binary64_364`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
1×	`clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

1 → 36

Calls

1 calls:

4.0ms

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

series66.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4954	540
1	4954	540

prune44.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	32	17	49

Error

0.4b

Counts

49 → 17

Compiler

Compiled 670 to 271 computations (59.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.3b	(/.f64 (log.f64 base) (log.f64 im))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

140×	`times-frac_binary64_425`
69×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
45×	`pow1_binary64_480`
42×	`log-pow_binary64_508`
24×	`associate-/r*_binary64_363`
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×	`clear-num_binary64_418` `1-exp_binary64_463` `add-log-exp_binary64_458` `rec-exp_binary64_469` `frac-2neg_binary64_430`
1×	`inv-pow_binary64_504` `associate-/r/_binary64_365` `pow-flip_binary64_493`

Counts

2 → 140

Calls

2 calls:

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

series136.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
65.0ms	(/.f64 (log.f64 base) (log.f64 im))

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4848	2460
1	4848	2460

prune104.0ms (1.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	3	12	15
Picked	0	1	1
Done	0	1	1
Total	147	16	163

Error

0.4b

Counts

163 → 16

Compiler

Compiled 2150 to 715 computations (66.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
0.2b	(/.f64 1 (log.f64 im))
0.3b	(pow.f64 base (/.f64 1 (log.f64 im)))
0.3b	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_425`
33×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
16×	`pow-unpow_binary64_496`
15×	`add-exp-log_binary64_457`
14×	`pow1_binary64_480`
12×	`log-pow_binary64_508`
8×	`add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
7×	`log-prod_binary64_505`
6×	`unpow-prod-down_binary64_498` `associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470`
3×	`rem-log-exp_binary64_460` `div-inv_binary64_416`
2×	`clear-num_binary64_418` `1-exp_binary64_463` `inv-pow_binary64_504` `pow-exp_binary64_487` `sqr-pow_binary64_391` `rec-exp_binary64_469` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `pow-flip_binary64_493` `cbrt-undiv_binary64_453`
1×	`pow-pow_binary64_491`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow.f64 base (/.f64 1 (log.f64 im)))
3.0ms	(/.f64 1 (log.f64 im))
3.0ms	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
2.0ms	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))

series398.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
113.0ms	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
74.0ms	(pow.f64 base (/.f64 1 (log.f64 im)))
71.0ms	(/.f64 1 (log.f64 im))

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4773	1508
1	4773	1508

prune93.0ms (1.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	129	17	146

Error

0.4b

Counts

146 → 17

Compiler

Compiled 1630 to 872 computations (46.5% saved)

regimes988.0ms (18.4%)

Accuracy

Total 6.9b remaining (95.3%)

Threshold costs 0b (0%)

Compiler

Compiled 3771 to 2696 computations (28.5% saved)

bsearch176.0ms (3.3%)

Steps

Iters	Range		Point
8	-5.824561407474614e-161	-1.2875325431764495e-163	-5.763545546578137e-161
8	-8.414199280529875e+137	-4.777117704821248e+134	-5.468069991666855e+134

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	50
1	32	50

Compiler

Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

sample1.9s (35.3%)

Algorithm

1×

intervals

Results

790.0ms	8000×	body	128	valid
101.0ms	1047×	body	128	nan

Compiler

Compiled 802 to 572 computations (28.7% saved)

Details

analyze589.0ms (11%)

sample39.0ms (0.7%)

simplify107.0ms (2%)

prune7.0ms (0.1%)

localize11.0ms (0.2%)

rewrite22.0ms (0.4%)

series147.0ms (2.7%)

simplify78.0ms (1.5%)

prune92.0ms (1.7%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series66.0ms (1.2%)

simplify86.0ms (1.6%)

prune44.0ms (0.8%)

localize7.0ms (0.1%)

rewrite22.0ms (0.4%)

series136.0ms (2.5%)

simplify117.0ms (2.2%)

prune104.0ms (1.9%)

localize9.0ms (0.2%)

rewrite20.0ms (0.4%)

series398.0ms (7.4%)

simplify95.0ms (1.8%)

prune93.0ms (1.7%)

regimes988.0ms (18.4%)

bsearch176.0ms (3.3%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (35.3%)

Profiling