Details

analyze347.0ms (3.5%)

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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample131.0ms (1.3%)

Algorithm

1×

intervals

Results

66.0ms	140×	body	1024	valid
18.0ms	64×	body	512	valid
15.0ms	53×	body	1024	invalid
5.0ms	8×	body	2048	valid
5.0ms	80×	body	128	invalid
4.0ms	26×	body	256	valid
3.0ms	15×	body	512	invalid
1.0ms	11×	body	256	invalid
1.0ms	18×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify239.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5003	18

prune6.0ms (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: 43.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2457` `add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `*-un-lft-identity_binary64_2436` `pow1_binary64_2494`
5×	`associate-r_binary64_2378`
4×	`add-log-exp_binary64_2472`
3×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466` `add-cube-cbrt_binary64_2468` `sub-neg_binary64_2429`
2×	`distribute-lft-out--_binary64_2390` `flip3--_binary64_2440` `associate-*r/_binary64_2380` `flip--_binary64_2411` `difference-of-squares_binary64_2405`
1×	`distribute-rgt-in_binary64_2388` `-commutative_binary64_2369` `diff-log_binary64_2525` `associate-l*_binary64_2379` `distribute-lft-in_binary64_2387`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series196.0ms (2%)

Counts

2 → 6

Calls

2 calls:

151.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
44.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5484	764

prune58.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.3b

Counts

44 → 4

Compiler

Compiled 770 to 321 computations (58.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2457`
19×	`add-exp-log_binary64_2471`
18×	`associate-r_binary64_2378`
13×	`add-cbrt-cube_binary64_2469`
12×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
11×	`associate-l_binary64_2379`
9×	`prod-exp_binary64_2482` `pow1_binary64_2494`
8×	`unpow-prod-down_binary64_2512`
7×	`unswap-sqr_binary64_2404`
6×	`add-log-exp_binary64_2472`
5×	`cbrt-unprod_binary64_2466`
4×	`cube-prod_binary64_2461` `sqr-pow_binary64_2408`
3×	`*-commutative_binary64_2369` `pow-prod-down_binary64_2504`
2×	`associate-*r/_binary64_2380` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501`
1×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `distribute-rgt-in_binary64_2388` `diff-log_binary64_2525` `flip3--_binary64_2440` `cube-mult_binary64_2463` `unpow3_binary64_2499` `flip--_binary64_2411` `distribute-lft-in_binary64_2387` `sub-neg_binary64_2429`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)
4.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series545.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

296.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
135.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
66.0ms	(*.f64 (pow.f64 im 5) -1/60)
48.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	1629
1	4972	1629

prune353.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 0.3b

Counts

105 → 10

Compiler

Compiled 2876 to 2209 computations (23.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2464`
23×	`add-sqr-sqrt_binary64_2457`
18×	`cbrt-div_binary64_2465`
15×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
11×	`pow1_binary64_2494`
9×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `flip-+_binary64_2410`
6×	`swap-sqr_binary64_2403` `add-exp-log_binary64_2471` `associate-r_binary64_2378` `associate-l_binary64_2379`
4×	`add-log-exp_binary64_2472` `unswap-sqr_binary64_2404` `add-cbrt-cube_binary64_2469` `frac-times_binary64_2446`
2×	`pow-prod-down_binary64_2504` `associate-r/_binary64_2380` `pow-prod-up_binary64_2503` `associate-l/_binary64_2381` `pow-sqr_binary64_2409`
1×	`prod-exp_binary64_2482` `*-commutative_binary64_2369` `pow2_binary64_2514` `cbrt-unprod_binary64_2466` `pow-plus_binary64_2496`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series716.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
184.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
168.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
161.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4945	4222
1	4945	4222

prune452.0ms (4.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0.3b

Counts

109 → 11

Compiler

Compiled 6863 to 5555 computations (19.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))

rewrite52.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_2464`
18×	`unpow-prod-down_binary64_2512`
14×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
4×	`pow1/3_binary64_2515` `add-log-exp_binary64_2472` `add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `pow1_binary64_2494`
3×	`unpow2_binary64_2498` `sqr-pow_binary64_2408`
2×	`cbrt-div_binary64_2465`
1×	`flip3-+_binary64_2439` `flip-+_binary64_2410`

Counts

4 → 70

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series946.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
263.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
252.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))) 2))
162.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4911	3584
1	4911	3584

prune517.0ms (5.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	81	12	93

Merged error: 0.3b

Counts

93 → 12

Compiler

Compiled 7761 to 6446 computations (16.9% saved)

regimes210.0ms (2.1%)

Compiler: Compiled 2692 to 2338 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.7s (46.8%)

Algorithm

1×

intervals

Results

1.9s	4054×	body	1024	valid
563.0ms	1937×	body	1024	invalid
491.0ms	2052×	body	512	valid
181.0ms	2619×	body	128	invalid
174.0ms	918×	body	512	invalid
150.0ms	1060×	body	256	valid
150.0ms	206×	body	2048	valid
60.0ms	472×	body	256	invalid
45.0ms	628×	body	128	valid

Compiler

Compiled 598 to 512 computations (14.4% saved)

Details

analyze347.0ms (3.5%)

sample131.0ms (1.3%)

simplify239.0ms (2.4%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite21.0ms (0.2%)

series196.0ms (2%)

simplify71.0ms (0.7%)

prune58.0ms (0.6%)

localize15.0ms (0.1%)

rewrite36.0ms (0.4%)

series545.0ms (5.5%)

simplify64.0ms (0.6%)

prune353.0ms (3.5%)

localize23.0ms (0.2%)

rewrite54.0ms (0.5%)

series716.0ms (7.2%)

simplify121.0ms (1.2%)

prune452.0ms (4.5%)

localize31.0ms (0.3%)

rewrite52.0ms (0.5%)

series946.0ms (9.5%)

simplify93.0ms (0.9%)

prune517.0ms (5.2%)

regimes210.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (46.8%)

Profiling