Details

analyze346.0ms (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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample131.0ms (1.3%)

Algorithm

1×

intervals

Results

66.0ms	154×	body	1024	valid
19.0ms	75×	body	1024	invalid
13.0ms	56×	body	512	valid
8.0ms	14×	body	2048	valid
5.0ms	28×	body	512	invalid
3.0ms	17×	body	256	valid
2.0ms	21×	body	256	invalid
1.0ms	21×	body	128	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify255.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4828	18
1	4828	18

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 57.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.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-exp-log_binary64_2808` `pow1_binary64_2831` `add-cbrt-cube_binary64_2806` `add-sqr-sqrt_binary64_2794` `*-un-lft-identity_binary64_2773`
5×	`associate-r_binary64_2715`
4×	`add-log-exp_binary64_2809`
3×	`cbrt-unprod_binary64_2803` `pow-prod-down_binary64_2841` `sub-neg_binary64_2766` `add-cube-cbrt_binary64_2805` `prod-exp_binary64_2819`
2×	`difference-of-squares_binary64_2742` `flip3--_binary64_2777` `flip--_binary64_2748` `distribute-lft-out--_binary64_2727` `associate-*r/_binary64_2717`
1×	`distribute-rgt-in_binary64_2725` `diff-log_binary64_2862` `associate-l_binary64_2716` `*-commutative_binary64_2706` `distribute-lft-in_binary64_2724`

Counts

2 → 37

Calls

2 calls:

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

series192.0ms (2%)

Counts

2 → 6

Calls

2 calls:

149.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4884	780
1	4884	780

prune48.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

Compiler

Compiled 742 to 298 computations (59.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(.f64 (.f64 1/2 (cos.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_2794`
19×	`add-exp-log_binary64_2808`
18×	`associate-r_binary64_2715`
13×	`add-cbrt-cube_binary64_2806`
12×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
11×	`associate-l_binary64_2716`
9×	`pow1_binary64_2831` `prod-exp_binary64_2819`
8×	`unpow-prod-down_binary64_2849`
7×	`unswap-sqr_binary64_2741`
6×	`add-log-exp_binary64_2809`
5×	`cbrt-unprod_binary64_2803`
4×	`sqr-pow_binary64_2745` `cube-prod_binary64_2798`
3×	`pow-prod-down_binary64_2841` `*-commutative_binary64_2706`
2×	`pow-exp_binary64_2838` `pow-to-exp_binary64_2839` `associate-*r/_binary64_2717`
1×	`distribute-rgt-in_binary64_2725` `unpow3_binary64_2836` `diff-log_binary64_2862` `sub-neg_binary64_2766` `flip3-+_binary64_2776` `flip3--_binary64_2777` `cube-mult_binary64_2800` `flip--_binary64_2748` `distribute-lft-in_binary64_2724` `flip-+_binary64_2747`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (cos.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)))

series561.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
151.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
62.0ms	(*.f64 (pow.f64 im 5) -1/60)
52.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4993	1645
1	4993	1645

prune166.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	8	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	11	104

Merged error: 0.0b

Counts

104 → 11

Compiler

Compiled 2947 to 2269 computations (23% saved)

localize19.0ms (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)))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2801`
23×	`add-sqr-sqrt_binary64_2794`
18×	`cbrt-div_binary64_2802`
15×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
11×	`pow1_binary64_2831`
9×	`flip3-+_binary64_2776` `pow1/3_binary64_2852` `flip-+_binary64_2747`
6×	`swap-sqr_binary64_2740` `add-exp-log_binary64_2808` `associate-l_binary64_2716` `associate-r_binary64_2715`
4×	`unswap-sqr_binary64_2741` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809` `frac-times_binary64_2783`
2×	`pow-sqr_binary64_2746` `pow-prod-down_binary64_2841` `associate-r/_binary64_2717` `associate-l/_binary64_2718` `pow-prod-up_binary64_2840`
1×	`cbrt-unprod_binary64_2803` `*-commutative_binary64_2706` `pow2_binary64_2851` `prod-exp_binary64_2819` `pow-plus_binary64_2833`

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)))

series737.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(.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))))
181.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
180.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
163.0ms	(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

prune426.0ms (4.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	98	12	110

Merged error: 0.0b

Counts

110 → 12

Compiler

Compiled 6902 to 5586 computations (19.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2801`
23×	`add-sqr-sqrt_binary64_2794`
18×	`cbrt-div_binary64_2802`
15×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
11×	`pow1_binary64_2831`
9×	`flip3--_binary64_2777` `pow1/3_binary64_2852` `flip--_binary64_2748`
6×	`swap-sqr_binary64_2740` `add-exp-log_binary64_2808` `associate-l_binary64_2716` `associate-r_binary64_2715`
4×	`unswap-sqr_binary64_2741` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809` `frac-times_binary64_2783`
2×	`pow-sqr_binary64_2746` `pow-prod-down_binary64_2841` `associate-r/_binary64_2717` `associate-l/_binary64_2718` `pow-prod-up_binary64_2840`
1×	`cbrt-unprod_binary64_2803` `*-commutative_binary64_2706` `pow2_binary64_2851` `prod-exp_binary64_2819` `pow-plus_binary64_2833`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (cbrt.f64 (-.f64 (.f64 im -2) (*.f64 1/3 (pow.f64 im 3)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))

series651.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

192.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (cbrt.f64 (-.f64 (.f64 im -2) (*.f64 1/3 (pow.f64 im 3)))))
160.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
153.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
145.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4950	3018
1	4950	3018

prune323.0ms (3.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	7	8
Picked	0	1	1
Done	0	3	3
Total	99	12	111

Merged error: 0.0b

Counts

111 → 12

Compiler

Compiled 5194 to 4152 computations (20.1% saved)

regimes417.0ms (4.3%)

Compiler: Compiled 5406 to 4590 computations (15.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	67
1	76	67

end0.0ms (0%)

sample5.0s (51.1%)

Algorithm

1×

intervals

Results

2.1s	4906×	body	1024	valid
569.0ms	2065×	body	1024	invalid
398.0ms	1691×	body	512	valid
265.0ms	408×	body	2048	valid
181.0ms	1009×	body	512	invalid
97.0ms	647×	body	256	valid
62.0ms	522×	body	256	invalid
60.0ms	777×	body	128	invalid
25.0ms	348×	body	128	valid

Compiler

Compiled 989 to 828 computations (16.3% saved)

Details

analyze346.0ms (3.5%)

sample131.0ms (1.3%)

simplify255.0ms (2.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series192.0ms (2%)

simplify67.0ms (0.7%)

prune48.0ms (0.5%)

localize14.0ms (0.1%)

rewrite36.0ms (0.4%)

series561.0ms (5.7%)

simplify61.0ms (0.6%)

prune166.0ms (1.7%)

localize19.0ms (0.2%)

rewrite55.0ms (0.6%)

series737.0ms (7.5%)

simplify121.0ms (1.2%)

prune426.0ms (4.4%)

localize19.0ms (0.2%)

rewrite39.0ms (0.4%)

series651.0ms (6.6%)

simplify66.0ms (0.7%)

prune323.0ms (3.3%)

regimes417.0ms (4.3%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.0s (51.1%)

Profiling