Details

analyze660.0ms (6.3%)

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)

sample149.0ms (1.4%)

Algorithm

1×

intervals

Results

74.0ms	156×	body	1024	valid
17.0ms	65×	body	1024	invalid
15.0ms	60×	body	512	valid
9.0ms	13×	body	2048	valid
6.0ms	33×	body	512	invalid
3.0ms	22×	body	256	invalid
2.0ms	16×	body	256	valid
2.0ms	31×	body	128	invalid
1.0ms	11×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5340	18

prune7.0ms (0.1%)

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

58.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize18.0ms (0.2%)

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)))
5.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

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:

21.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
12.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series236.0ms (2.2%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

176.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
32.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5053	1131

prune74.0ms (0.7%)

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 1023 to 408 computations (60.1% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.1b	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
0.1b	(*.f64 (pow.f64 im 3) 1/6)

rewrite124.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_2828`
15×	`associate-l_binary64_2747`
10×	`add-exp-log_binary64_2844`
9×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
7×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
6×	`associate-r_binary64_2746`
5×	`pow1_binary64_2867` `unswap-sqr_binary64_2774`
4×	`prod-exp_binary64_2855` `unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
3×	`sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`
2×	`cbrt-unprod_binary64_2839` `sqr-pow_binary64_2778` `-commutative_binary64_2737` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3--_binary64_2810` `associate-r/_binary64_2748` `flip--_binary64_2781` `diff-log_binary64_2898`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836` `pow-prod-down_binary64_2877` `neg-log_binary64_2899` `neg-sub0_binary64_2801` `associate--l-_binary64_2744`

Counts

3 → 69

Calls

3 calls:

15.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
12.0ms	(*.f64 (pow.f64 im 3) 1/6)
5.0ms	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))

Compiler

Compiled 1302 to 805 computations (38.2% saved)

series409.0ms (3.9%)

Error

0.1b

Counts

3 → 21

Calls

3 calls:

270.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
70.0ms	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
51.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 760 to 600 computations (21.1% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5043	1296

prune143.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 1612 to 1031 computations (36% saved)

localize12.0ms (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))

rewrite102.0ms (1%)

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 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 1803 to 672 computations (62.7% saved)

series455.0ms (4.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

138.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
103.0ms	(cbrt.f64 (cos.f64 re))
93.0ms	(cbrt.f64 (cos.f64 re))
90.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 1268 to 893 computations (29.6% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4952	928
1	4952	928

prune143.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 2337 to 1154 computations (50.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

rewrite289.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3--_binary64_2810` `flip--_binary64_2781`
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` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
4.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

Compiler

Compiled 3753 to 2735 computations (27.1% saved)

series437.0ms (4.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

147.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
89.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
85.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
83.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

Compiler

Compiled 1917 to 1647 computations (14.1% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4979	2213
1	4979	2213

prune246.0ms (2.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	105	11	116

Error

0.0b

Counts

116 → 11

Compiler

Compiled 3692 to 2675 computations (27.5% saved)

regimes691.0ms (6.6%)

Accuracy

Total 0.9b remaining (95.1%)

Threshold costs 0.9b (95.1%)

Compiler

Compiled 6718 to 5123 computations (23.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	22
1	81	22

end0.0ms (0%)

sample5.7s (54.3%)

Algorithm

1×

intervals

Results

2.2s	4836×	body	1024	valid
511.0ms	1859×	body	1024	invalid
412.0ms	1670×	body	512	valid
284.0ms	426×	body	2048	valid
184.0ms	972×	body	512	invalid
109.0ms	706×	body	256	valid
62.0ms	490×	body	256	invalid
52.0ms	710×	body	128	invalid
27.0ms	362×	body	128	valid

Compiler

Compiled 1129 to 860 computations (23.8% saved)

Details

analyze660.0ms (6.3%)

sample149.0ms (1.4%)

simplify96.0ms (0.9%)

prune7.0ms (0.1%)

localize18.0ms (0.2%)

rewrite102.0ms (1%)

series236.0ms (2.2%)

simplify94.0ms (0.9%)

prune74.0ms (0.7%)

localize17.0ms (0.2%)

rewrite124.0ms (1.2%)

series409.0ms (3.9%)

simplify77.0ms (0.7%)

prune143.0ms (1.4%)

localize12.0ms (0.1%)

rewrite102.0ms (1%)

series455.0ms (4.3%)

simplify95.0ms (0.9%)

prune143.0ms (1.4%)

localize24.0ms (0.2%)

rewrite289.0ms (2.8%)

series437.0ms (4.2%)

simplify93.0ms (0.9%)

prune246.0ms (2.3%)

regimes691.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.7s (54.3%)

Profiling