Details

analyze486.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	36
1	4887	36
0	2	2
1	2	2

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)

sample111.0ms (1%)

Algorithm

1×

intervals

Results

60.0ms	160×	body	1024	valid
11.0ms	54×	body	1024	invalid
11.0ms	57×	body	512	valid
6.0ms	13×	body	2048	valid
3.0ms	21×	body	512	invalid
2.0ms	18×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	23×	body	128	invalid
1.0ms	8×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

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

58.4b

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)))
6.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (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:

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))

series94.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(.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 (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune63.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Error

0.1b

Counts

53 → 5

Compiler

Compiled 931 to 383 computations (58.9% 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))
0.1b	(*.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))

rewrite38.0ms (0.4%)

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)))
7.0ms	(+.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)

series236.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(.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)))
35.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
30.0ms	(*.f64 (pow.f64 im 5) -1/60)
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5179	1881

prune180.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	99	11	110

Error

0.0b

Counts

110 → 11

Compiler

Compiled 3112 to 2386 computations (23.3% saved)

localize18.0ms (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))))

rewrite52.0ms (0.5%)

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)))))
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))))
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 (19.9%)

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)))))
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))))
334.0ms	(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))))
326.0ms	(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))))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune411.0ms (3.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	82	13	95

Error

0.0b

Counts

95 → 13

Compiler

Compiled 6759 to 5279 computations (21.9% saved)

localize20.0ms (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)))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

17.0ms	(.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)))
6.0ms	(cbrt.f64 (+.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)))

series397.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.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))))
98.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
93.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
92.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4928	4389
1	4928	4389

prune438.0ms (4.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	3	7	10
Picked	0	1	1
Done	0	2	2
Total	100	12	112

Error

0.0b

Counts

112 → 12

Compiler

Compiled 6642 to 5364 computations (19.2% saved)

regimes570.0ms (5.4%)

Accuracy

Total 0.8b remaining (95.1%)

Threshold costs 0.8b (95.1%)

Compiler

Compiled 8502 to 7038 computations (17.2% 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%)

sample4.9s (46.2%)

Algorithm

1×

intervals

Results

1.7s	4792×	body	1024	valid
423.0ms	1920×	body	1024	invalid
356.0ms	1708×	body	512	valid
239.0ms	429×	body	2048	valid
172.0ms	1073×	body	512	invalid
93.0ms	678×	body	256	valid
63.0ms	545×	body	256	invalid
50.0ms	673×	body	128	invalid
25.0ms	393×	body	128	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 1483 to 1224 computations (17.5% saved)

Details

analyze486.0ms (4.6%)

sample111.0ms (1%)

simplify87.0ms (0.8%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series94.0ms (0.9%)

simplify66.0ms (0.6%)

prune63.0ms (0.6%)

localize14.0ms (0.1%)

rewrite38.0ms (0.4%)

series236.0ms (2.2%)

simplify46.0ms (0.4%)

prune180.0ms (1.7%)

localize18.0ms (0.2%)

rewrite52.0ms (0.5%)

series2.1s (19.9%)

simplify80.0ms (0.8%)

prune411.0ms (3.9%)

localize20.0ms (0.2%)

rewrite51.0ms (0.5%)

series397.0ms (3.8%)

simplify80.0ms (0.8%)

prune438.0ms (4.2%)

regimes570.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (46.2%)

Profiling