Details

analyze345.0ms (2.7%)

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
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)

sample122.0ms (1%)

Algorithm

1×

intervals

Results

65.0ms	157×	body	1024	valid
15.0ms	59×	body	1024	invalid
11.0ms	49×	body	512	valid
6.0ms	38×	body	512	invalid
6.0ms	10×	body	2048	valid
4.0ms	28×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	21×	body	128	invalid
1.0ms	12×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify230.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4896	18
1	4896	18

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 58.1b

Counts

2 → 1

Compiler

Compiled 46 to 42 computations (8.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
7.5b	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
9×	`cancel-sign-sub-inv_binary64_2797`
7×	`pow1_binary64_2892` `add-cbrt-cube_binary64_2867` `add-exp-log_binary64_2869`
6×	`add-cube-cbrt_binary64_2866`
5×	`associate-r_binary64_2771`
4×	`add-log-exp_binary64_2870` `distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`
3×	`pow-prod-down_binary64_2902` `cbrt-unprod_binary64_2864` `sub-neg_binary64_2824` `prod-exp_binary64_2880`
2×	`flip3--_binary64_2835` `distribute-lft-out--_binary64_2783` `difference-of-squares_binary64_2800` `flip--_binary64_2806` `associate-*r/_binary64_2773`
1×	`-commutative_binary64_2762` `diff-log_binary64_2923` `associate-l*_binary64_2772`

Counts

2 → 46

Calls

2 calls:

15.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
10.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series206.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

157.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
49.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4884	927
1	4884	927

prune158.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0.1b

Counts

53 → 3

Compiler

Compiled 2318 to 1505 computations (35.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2853`
19×	`add-exp-log_binary64_2869`
18×	`associate-r_binary64_2771`
13×	`add-cbrt-cube_binary64_2867`
12×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
11×	`associate-l_binary64_2772`
9×	`pow1_binary64_2892` `add-log-exp_binary64_2870` `prod-exp_binary64_2880`
8×	`unpow-prod-down_binary64_2910`
7×	`unswap-sqr_binary64_2799`
5×	`cbrt-unprod_binary64_2864`
4×	`sqr-pow_binary64_2803` `cube-prod_binary64_2859`
3×	`pow-prod-down_binary64_2902` `*-commutative_binary64_2762`
2×	`pow-exp_binary64_2899` `flip3-+_binary64_2834` `pow-to-exp_binary64_2900` `flip-+_binary64_2805` `associate-+l+_binary64_2764` `associate-*r/_binary64_2773` `sum-log_binary64_2922`
1×	`cube-mult_binary64_2861` `diff-log_binary64_2923` `sub-neg_binary64_2824` `+-commutative_binary64_2761` `cancel-sign-sub-inv_binary64_2797` `unpow3_binary64_2897` `distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781` `associate-+l-_binary64_2766`

Counts

4 → 93

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)))
8.0ms	(*.f64 (pow.f64 im 5) -1/60)
8.0ms	(+.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))

series469.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

293.0ms	(.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)))
68.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
63.0ms	(*.f64 (pow.f64 im 5) -1/60)
45.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5092	1881

prune281.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

Compiler

Compiled 4858 to 3900 computations (19.7% saved)

localize22.0ms (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 (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2862`
23×	`add-sqr-sqrt_binary64_2853`
18×	`cbrt-div_binary64_2863`
15×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
11×	`pow1_binary64_2892`
9×	`flip3-+_binary64_2834` `pow1/3_binary64_2913` `flip-+_binary64_2805`
6×	`swap-sqr_binary64_2798` `associate-r_binary64_2771` `associate-l_binary64_2772` `add-exp-log_binary64_2869`
4×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `unswap-sqr_binary64_2799` `frac-times_binary64_2841`
2×	`pow-prod-down_binary64_2902` `pow-prod-up_binary64_2901` `pow-sqr_binary64_2804` `associate-l/_binary64_2774` `associate-r/_binary64_2773`
1×	`cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `prod-exp_binary64_2880` `pow2_binary64_2912` `pow-plus_binary64_2894`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.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)))

series734.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(.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))))
187.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
171.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
166.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4914	4377
1	4914	4377

prune654.0ms (5.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	96	11	107

Merged error: 0.0b

Counts

107 → 11

Compiler

Compiled 10354 to 8524 computations (17.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
0.7b	(cbrt.f64 (.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))))
0.7b	(cbrt.f64 (.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))))
0.7b	(cbrt.f64 (.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))))

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2773`
18×	`cbrt-div_binary64_2863`
11×	`pow1_binary64_2892`
10×	`add-sqr-sqrt_binary64_2853`
9×	`flip3-+_binary64_2834` `pow1/3_binary64_2913` `flip-+_binary64_2805`
8×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
7×	`cbrt-prod_binary64_2862`
6×	`add-exp-log_binary64_2869`
4×	`swap-sqr_binary64_2798` `add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `frac-times_binary64_2841` `associate-r_binary64_2771` `associate-l_binary64_2772`
2×	`pow-prod-down_binary64_2902` `pow-prod-up_binary64_2901` `pow-sqr_binary64_2804` `associate-*l/_binary64_2774`
1×	`cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `pow2_binary64_2912` `pow-plus_binary64_2894`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
10.0ms	(cbrt.f64 (.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))))
10.0ms	(cbrt.f64 (.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))))
10.0ms	(cbrt.f64 (.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))))

series3.7s (29.7%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
616.0ms	(cbrt.f64 (.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))))
604.0ms	(cbrt.f64 (.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))))
601.0ms	(cbrt.f64 (.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))))

simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4882	3938
1	4882	3938

prune436.0ms (3.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

Compiler

Compiled 7268 to 5735 computations (21.1% saved)

regimes146.0ms (1.2%)

Compiler: Compiled 1860 to 1596 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.4s (35.4%)

Algorithm

1×

intervals

Results

2.1s	4912×	body	1024	valid
522.0ms	1960×	body	1024	invalid
378.0ms	1639×	body	512	valid
239.0ms	383×	body	2048	valid
167.0ms	983×	body	512	invalid
102.0ms	698×	body	256	valid
58.0ms	475×	body	256	invalid
49.0ms	727×	body	128	invalid
26.0ms	368×	body	128	valid

Compiler

Compiled 536 to 454 computations (15.3% saved)

Details

analyze345.0ms (2.7%)

sample122.0ms (1%)

simplify230.0ms (1.8%)

prune5.0ms (0%)

localize10.0ms (0.1%)

rewrite29.0ms (0.2%)

series206.0ms (1.6%)

simplify64.0ms (0.5%)

prune158.0ms (1.3%)

localize14.0ms (0.1%)

rewrite44.0ms (0.3%)

series469.0ms (3.7%)

simplify44.0ms (0.4%)

prune281.0ms (2.2%)

localize22.0ms (0.2%)

rewrite55.0ms (0.4%)

series734.0ms (5.8%)

simplify112.0ms (0.9%)

prune654.0ms (5.2%)

localize22.0ms (0.2%)

rewrite57.0ms (0.5%)

series3.7s (29.7%)

simplify119.0ms (0.9%)

prune436.0ms (3.5%)

regimes146.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (35.4%)

Profiling