Details

analyze532.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4722	36
1	4722	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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample120.0ms (1%)

Algorithm

1×

intervals

Results

54.0ms	127×	body	1024	valid
15.0ms	76×	body	512	valid
13.0ms	53×	body	1024	invalid
6.0ms	35×	body	512	invalid
5.0ms	83×	body	128	invalid
3.0ms	6×	body	2048	valid
3.0ms	25×	body	256	valid
2.0ms	15×	body	256	invalid
1.0ms	22×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite73.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.0b

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 (sin.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)

series212.0ms (1.8%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

162.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
29.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 638 to 468 computations (26.6% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune58.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Compiler

Compiled 1059 to 449 computations (57.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite288.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (.f64 1/2 (sin.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))))
8.0ms	(*.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))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series569.0ms (4.7%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

391.0ms	(.f64 (.f64 1/2 (sin.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))))
51.0ms	(*.f64 1/2520 (pow.f64 im 7))
44.0ms	(*.f64 1/60 (pow.f64 im 5))
38.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 2012 to 1586 computations (21.2% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4971	3133
1	4971	3133

prune503.0ms (4.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	137	7	144

Error

0.0b

Counts

144 → 7

Compiler

Compiled 4849 to 3714 computations (23.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
0.1b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
0.1b	(*.f64 (pow.f64 im 3) 1/6)

rewrite230.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_2828`
25×	`associate-l_binary64_2747`
18×	`add-exp-log_binary64_2844`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
12×	`add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
9×	`unswap-sqr_binary64_2774`
8×	`pow1_binary64_2867` `prod-exp_binary64_2855` `unpow-prod-down_binary64_2885`
4×	`add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `cube-prod_binary64_2834` `sqr-pow_binary64_2778` `-commutative_binary64_2737` `associate-r/_binary64_2748`
3×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
2×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `pow-prod-down_binary64_2877` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`
1×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `flip3--_binary64_2810` `flip--_binary64_2781` `flip3-+_binary64_2809` `flip-+_binary64_2780`

Counts

4 → 102

Calls

4 calls:

9.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
8.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
6.0ms	(*.f64 (pow.f64 im 3) 1/6)
6.0ms	(*.f64 (pow.f64 im 5) 1/120)

Compiler

Compiled 3507 to 2371 computations (32.4% saved)

series614.0ms (5.1%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

270.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
224.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
47.0ms	(*.f64 (pow.f64 im 5) 1/120)
35.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 2083 to 1559 computations (25.2% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5044	2044

prune223.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	127	9	136

Error

0.0b

Counts

136 → 9

Compiler

Compiled 4381 to 3000 computations (31.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.7b	(cbrt.f64 (sin.f64 re))
0.7b	(cbrt.f64 (sin.f64 re))
0.7b	(cbrt.f64 (sin.f64 re))

rewrite139.0ms (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:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
1.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))
1.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2898 to 1475 computations (49.1% saved)

series427.0ms (3.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

110.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
97.0ms	(cbrt.f64 (sin.f64 re))
89.0ms	(cbrt.f64 (sin.f64 re))
85.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2284 to 1653 computations (27.6% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4866	1020
1	4866	1020

prune171.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	97	9	106

Error

0.0b

Counts

106 → 9

Compiler

Compiled 3645 to 2103 computations (42.3% saved)

regimes1.2s (10%)

Accuracy

Total 0.7b remaining (96.9%)

Threshold costs 0.7b (96.9%)

Compiler

Compiled 18582 to 14551 computations (21.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	183	50
1	183	50

end0.0ms (0%)

sample6.2s (51.3%)

Algorithm

1×

intervals

Results

1.6s	4058×	body	1024	valid
441.0ms	2087×	body	512	valid
437.0ms	1934×	body	1024	invalid
165.0ms	953×	body	512	invalid
158.0ms	2494×	body	128	invalid
136.0ms	1016×	body	256	valid
122.0ms	222×	body	2048	valid
59.0ms	472×	body	256	invalid
39.0ms	617×	body	128	valid

Compiler

Compiled 2957 to 2314 computations (21.7% saved)

Details

analyze532.0ms (4.4%)

sample120.0ms (1%)

simplify73.0ms (0.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite73.0ms (0.6%)

series212.0ms (1.8%)

simplify74.0ms (0.6%)

prune58.0ms (0.5%)

localize18.0ms (0.2%)

rewrite288.0ms (2.4%)

series569.0ms (4.7%)

simplify101.0ms (0.8%)

prune503.0ms (4.2%)

localize18.0ms (0.1%)

rewrite230.0ms (1.9%)

series614.0ms (5.1%)

simplify90.0ms (0.8%)

prune223.0ms (1.9%)

localize21.0ms (0.2%)

rewrite139.0ms (1.2%)

series427.0ms (3.5%)

simplify92.0ms (0.8%)

prune171.0ms (1.4%)

regimes1.2s (10%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.2s (51.3%)

Profiling