Details

analyze347.0ms (2.8%)

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)

sample118.0ms (0.9%)

Algorithm

1×

intervals

Results

61.0ms	158×	body	1024	valid
15.0ms	69×	body	1024	invalid
13.0ms	61×	body	512	valid
6.0ms	41×	body	512	invalid
4.0ms	8×	body	2048	valid
2.0ms	14×	body	256	valid
2.0ms	26×	body	128	invalid
1.0ms	13×	body	256	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5340	18

prune4.0ms (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

Error

57.5b

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)))
5.1b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
9×	`cancel-sign-sub-inv_binary64_2772`
7×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
6×	`add-cube-cbrt_binary64_2841`
5×	`associate-r_binary64_2746`
4×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `add-log-exp_binary64_2845`
3×	`prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877`
2×	`flip3--_binary64_2810` `distribute-lft-out--_binary64_2758` `flip--_binary64_2781` `associate-*r/_binary64_2748` `difference-of-squares_binary64_2775`
1×	`associate-l_binary64_2747` `*-commutative_binary64_2737` `diff-log_binary64_2898`

Counts

2 → 46

Calls

2 calls:

16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series96.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune63.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Error

0.1b

Counts

53 → 4

Compiler

Compiled 903 to 366 computations (59.5% saved)

localize17.0ms (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))
0.1b	(*.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))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2828`
19×	`add-exp-log_binary64_2844`
18×	`associate-r_binary64_2746`
13×	`add-cbrt-cube_binary64_2842`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
11×	`associate-l_binary64_2747`
9×	`prod-exp_binary64_2855` `add-log-exp_binary64_2845` `pow1_binary64_2867`
8×	`unpow-prod-down_binary64_2885`
7×	`unswap-sqr_binary64_2774`
5×	`cbrt-unprod_binary64_2839`
4×	`cube-prod_binary64_2834` `sqr-pow_binary64_2778`
3×	`*-commutative_binary64_2737` `pow-prod-down_binary64_2877`
2×	`pow-exp_binary64_2874` `associate-+l+_binary64_2739` `pow-to-exp_binary64_2875` `flip-+_binary64_2780` `sum-log_binary64_2897` `flip3-+_binary64_2809` `associate-*r/_binary64_2748`
1×	`cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `unpow3_binary64_2872` `associate-+l-_binary64_2741` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cube-mult_binary64_2836` `+-commutative_binary64_2736`

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 (-.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))
6.0ms	(*.f64 (pow.f64 im 5) -1/60)

series235.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(.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)))
30.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
29.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5179	1881

prune180.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	10	109

Error

0.0b

Counts

109 → 10

Compiler

Compiled 3084 to 2369 computations (23.2% 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)))))
0.6b	(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))))
0.6b	(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))))
0.6b	(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))))

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2748`
18×	`cbrt-div_binary64_2838`
11×	`pow1_binary64_2867`
10×	`add-sqr-sqrt_binary64_2828`
9×	`pow1/3_binary64_2888` `flip-+_binary64_2780` `flip3-+_binary64_2809`
8×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
7×	`cbrt-prod_binary64_2837`
6×	`add-exp-log_binary64_2844`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `add-cbrt-cube_binary64_2842` `swap-sqr_binary64_2773` `add-log-exp_binary64_2845` `associate-r_binary64_2746`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `pow-prod-down_binary64_2877` `associate-*l/_binary64_2749`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `unswap-sqr_binary64_2774` `pow-plus_binary64_2869`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.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))))
9.0ms	(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))))
9.0ms	(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))))

series2.1s (17.1%)

Counts

4 → 12

Calls

4 calls:

1.1s	(.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)))))
341.0ms	(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))))
335.0ms	(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))))
328.0ms	(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))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune421.0ms (3.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	81	13	94

Error

0.0b

Counts

94 → 13

Compiler

Compiled 6943 to 5432 computations (21.8% saved)

localize26.0ms (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)))))
0.6b	(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 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.6b	(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))))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_2838` `associate-*r/_binary64_2748`
11×	`add-sqr-sqrt_binary64_2828` `pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `cbrt-prod_binary64_2837`
6×	`add-exp-log_binary64_2844`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `add-cbrt-cube_binary64_2842` `swap-sqr_binary64_2773` `add-log-exp_binary64_2845` `associate-r_binary64_2746`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `pow-prod-down_binary64_2877` `associate-*l/_binary64_2749`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `unswap-sqr_binary64_2774` `pow-plus_binary64_2869`

Counts

4 → 74

Calls

4 calls:

11.0ms	(.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))))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series1.9s (15.3%)

Counts

4 → 12

Calls

4 calls:

1.1s	(.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)))))
343.0ms	(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))))
341.0ms	(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))))
90.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5033	4202

prune387.0ms (3.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	84	15	99

Error

0.0b

Counts

99 → 15

Compiler

Compiled 6566 to 5151 computations (21.6% saved)

regimes694.0ms (5.6%)

Accuracy

Total 0.9b remaining (96.7%)

Threshold costs 0.9b (96.7%)

Compiler

Compiled 10638 to 8718 computations (18% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	176	30
1	176	30

end0.0ms (0%)

sample5.1s (41.3%)

Algorithm

1×

intervals

Results

1.8s	4837×	body	1024	valid
431.0ms	1958×	body	1024	invalid
371.0ms	1731×	body	512	valid
241.0ms	422×	body	2048	valid
162.0ms	995×	body	512	invalid
88.0ms	657×	body	256	valid
58.0ms	521×	body	256	invalid
44.0ms	706×	body	128	invalid
26.0ms	353×	body	128	valid

Compiler

Compiled 1839 to 1504 computations (18.2% saved)

Details

analyze347.0ms (2.8%)

sample118.0ms (0.9%)

simplify180.0ms (1.4%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite26.0ms (0.2%)

series96.0ms (0.8%)

simplify66.0ms (0.5%)

prune63.0ms (0.5%)

localize17.0ms (0.1%)

rewrite40.0ms (0.3%)

series235.0ms (1.9%)

simplify47.0ms (0.4%)

prune180.0ms (1.4%)

localize22.0ms (0.2%)

rewrite55.0ms (0.4%)

series2.1s (17.1%)

simplify83.0ms (0.7%)

prune421.0ms (3.4%)

localize26.0ms (0.2%)

rewrite52.0ms (0.4%)

series1.9s (15.3%)

simplify86.0ms (0.7%)

prune387.0ms (3.1%)

regimes694.0ms (5.6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.1s (41.3%)

Profiling