Details

analyze392.0ms (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)

sample149.0ms (1.1%)

Algorithm

1×

intervals

Results

74.0ms	166×	body	1024	valid
19.0ms	66×	body	1024	invalid
13.0ms	53×	body	512	valid
6.0ms	28×	body	512	invalid
6.0ms	8×	body	2048	valid
3.0ms	21×	body	256	valid
3.0ms	22×	body	256	invalid
1.0ms	19×	body	128	invalid
1.0ms	8×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify220.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5340	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

Error

57.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (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)))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite85.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

57.6b

Rules

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

Counts

2 → 46

Calls

2 calls:

12.0ms	(.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))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series229.0ms (1.6%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

167.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
36.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5053	1131

prune73.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Compiler

Compiled 1059 to 438 computations (58.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 im 5))
0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite330.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

32×	`add-sqr-sqrt_binary64_2828`
29×	`associate-r_binary64_2746`
24×	`add-exp-log_binary64_2844`
15×	`add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
12×	`prod-exp_binary64_2855` `associate--l+_binary64_2743` `unpow-prod-down_binary64_2885`
10×	`associate-l_binary64_2747` `unswap-sqr_binary64_2774`
9×	`pow1_binary64_2867`
6×	`cbrt-unprod_binary64_2839` `sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `sqr-pow_binary64_2778`
4×	`add-log-exp_binary64_2845` `*-commutative_binary64_2737` `cube-prod_binary64_2834`
3×	`pow-prod-down_binary64_2877` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874`
2×	`associate-*r/_binary64_2748`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `unpow3_binary64_2872` `cube-mult_binary64_2836`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series534.0ms (3.8%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

340.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
54.0ms	(*.f64 1/2520 (pow.f64 im 7))
53.0ms	(*.f64 1/60 (pow.f64 im 5))
44.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1692 to 1380 computations (18.4% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5189	2814

prune322.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	129	9	138

Error

0.1b

Counts

138 → 9

Compiler

Compiled 4751 to 3666 computations (22.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
0.1b	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
0.2b	(*.f64 (cos.f64 re) -1/6)

rewrite188.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-exp-log_binary64_2844`
25×	`associate-l_binary64_2747`
23×	`add-sqr-sqrt_binary64_2828`
15×	`add-cbrt-cube_binary64_2842`
14×	`prod-exp_binary64_2855` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`associate-r_binary64_2746`
8×	`pow1_binary64_2867`
7×	`unpow-prod-down_binary64_2885`
6×	`cbrt-unprod_binary64_2839`
5×	`unswap-sqr_binary64_2774`
4×	`add-log-exp_binary64_2845` `*-commutative_binary64_2737`
3×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `cube-prod_binary64_2834` `sqr-pow_binary64_2778`
2×	`pow-prod-down_binary64_2877` `associate-*r/_binary64_2748`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `unpow3_binary64_2872` `cube-mult_binary64_2836`

Counts

4 → 94

Calls

4 calls:

7.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
6.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
5.0ms	(*.f64 (pow.f64 im 5) 1/120)
5.0ms	(*.f64 (cos.f64 re) -1/6)

Compiler

Compiled 2432 to 1593 computations (34.5% saved)

series559.0ms (4%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

306.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
144.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
50.0ms	(*.f64 (pow.f64 im 5) 1/120)
27.0ms	(*.f64 (cos.f64 re) -1/6)

Compiler

Compiled 1432 to 1065 computations (25.6% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4938	1564
1	4938	1564

prune189.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	116	11	127

Error

0.0b

Counts

127 → 11

Compiler

Compiled 3120 to 2081 computations (33.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))

rewrite173.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
3.0ms	(cbrt.f64 (cos.f64 re))
3.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 2460 to 1110 computations (54.9% saved)

series462.0ms (3.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

149.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
99.0ms	(cbrt.f64 (cos.f64 re))
84.0ms	(cbrt.f64 (cos.f64 re))
83.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 1772 to 1229 computations (30.6% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4952	928
1	4952	928

prune170.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	95	13	108

Error

0.0b

Counts

108 → 13

Compiler

Compiled 3015 to 1584 computations (47.5% saved)

regimes1.5s (10.8%)

Accuracy

Total 0.6b remaining (98.6%)

Threshold costs 0.6b (98.6%)

Compiler

Compiled 18612 to 14418 computations (22.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	185	41
1	185	41

end0.0ms (0%)

sample7.9s (57%)

Algorithm

1×

intervals

Results

2.2s	4812×	body	1024	valid
565.0ms	2037×	body	1024	invalid
481.0ms	1758×	body	512	valid
275.0ms	404×	body	2048	valid
211.0ms	1040×	body	512	invalid
107.0ms	657×	body	256	valid
63.0ms	471×	body	256	invalid
58.0ms	712×	body	128	invalid
28.0ms	369×	body	128	valid

Compiler

Compiled 3175 to 2460 computations (22.5% saved)

Details

analyze392.0ms (2.8%)

sample149.0ms (1.1%)

simplify220.0ms (1.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite85.0ms (0.6%)

series229.0ms (1.6%)

simplify90.0ms (0.6%)

prune73.0ms (0.5%)

localize20.0ms (0.1%)

rewrite330.0ms (2.4%)

series534.0ms (3.8%)

simplify57.0ms (0.4%)

prune322.0ms (2.3%)

localize16.0ms (0.1%)

rewrite188.0ms (1.4%)

series559.0ms (4%)

simplify89.0ms (0.6%)

prune189.0ms (1.4%)

localize19.0ms (0.1%)

rewrite173.0ms (1.2%)

series462.0ms (3.3%)

simplify97.0ms (0.7%)

prune170.0ms (1.2%)

regimes1.5s (10.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.9s (57%)

Profiling