Details

analyze511.0ms (5%)

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)

sample112.0ms (1.1%)

Algorithm

1×

intervals

Results

59.0ms	143×	body	1024	valid
12.0ms	57×	body	512	valid
9.0ms	42×	body	1024	invalid
6.0ms	34×	body	512	invalid
4.0ms	67×	body	128	invalid
4.0ms	33×	body	256	valid
3.0ms	6×	body	2048	valid
2.0ms	17×	body	256	invalid
1.0ms	17×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune2.0ms (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

44.8b

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 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
9×	`cancel-sign-sub-inv_binary64_3795`
7×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
6×	`add-cube-cbrt_binary64_3864`
5×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
3×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822`
2×	`flip--_binary64_3804` `flip3--_binary64_3833` `difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `associate-*r/_binary64_3771`
1×	`-commutative_binary64_3760` `associate-l*_binary64_3770` `diff-log_binary64_3921`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series93.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
20.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4892	911
1	4892	911

prune57.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Error

0.1b

Counts

53 → 2

Compiler

Compiled 858 to 332 computations (61.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3851`
19×	`add-exp-log_binary64_3867`
18×	`associate-r_binary64_3769`
13×	`add-cbrt-cube_binary64_3865`
12×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`associate-l_binary64_3770`
9×	`prod-exp_binary64_3878` `pow1_binary64_3890`
8×	`unpow-prod-down_binary64_3908`
7×	`unswap-sqr_binary64_3797`
6×	`add-log-exp_binary64_3868`
5×	`cbrt-unprod_binary64_3862`
4×	`cube-prod_binary64_3857` `sqr-pow_binary64_3801`
3×	`pow-prod-down_binary64_3900` `*-commutative_binary64_3760`
2×	`pow-exp_binary64_3897` `associate-*r/_binary64_3771` `pow-to-exp_binary64_3898`
1×	`flip3-+_binary64_3832` `cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `cube-mult_binary64_3859` `unpow3_binary64_3895` `flip-+_binary64_3803` `flip3--_binary64_3833` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)
4.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series260.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
58.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
29.0ms	(*.f64 (pow.f64 im 5) -1/60)
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4952	1636
1	4952	1636

prune165.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Error

0.0b

Counts

104 → 9

Compiler

Compiled 2952 to 2267 computations (23.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
14.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
14.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
14.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3771`
18×	`cbrt-div_binary64_3861`
11×	`pow1_binary64_3890`
10×	`add-sqr-sqrt_binary64_3851`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow1/3_binary64_3911`
8×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
7×	`cbrt-prod_binary64_3860`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `swap-sqr_binary64_3796` `frac-times_binary64_3839` `associate-r_binary64_3769` `associate-l_binary64_3770`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `associate-*l/_binary64_3772` `pow-sqr_binary64_3802`
1×	`unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

series1.5s (14.8%)

Counts

4 → 12

Calls

4 calls:

547.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
324.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
322.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
313.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (40.0ms)

Iter	Nodes	Cost
0	4947	4064
1	4947	4064

prune412.0ms (4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	81	12	93

Error

0.0b

Counts

93 → 12

Compiler

Compiled 6788 to 5307 computations (21.8% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
14.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
14.0b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_3861` `cbrt-prod_binary64_3860`
5×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890` `pow1/3_binary64_3911` `associate-*r/_binary64_3771`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803`

Counts

4 → 44

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.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)))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

series818.0ms (8%)

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
311.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
100.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
94.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4901	1984
1	4901	1984

prune232.0ms (2.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	56	12	68

Error

0.0b

Counts

68 → 12

Compiler

Compiled 4319 to 3354 computations (22.3% saved)

regimes568.0ms (5.6%)

Accuracy

Total 0.8b remaining (95.2%)

Threshold costs 0.8b (95.2%)

Compiler

Compiled 8615 to 7048 computations (18.2% 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%)

sample4.8s (47.4%)

Algorithm

1×

intervals

Results

1.7s	4086×	body	1024	valid
432.0ms	2019×	body	512	valid
428.0ms	1821×	body	1024	invalid
168.0ms	1006×	body	512	invalid
155.0ms	2480×	body	128	invalid
133.0ms	1002×	body	256	valid
133.0ms	246×	body	2048	valid
56.0ms	473×	body	256	invalid
42.0ms	647×	body	128	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 1477 to 1207 computations (18.3% saved)

Details

analyze511.0ms (5%)

sample112.0ms (1.1%)

simplify72.0ms (0.7%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite20.0ms (0.2%)

series93.0ms (0.9%)

simplify87.0ms (0.9%)

prune57.0ms (0.6%)

localize14.0ms (0.1%)

rewrite34.0ms (0.3%)

series260.0ms (2.6%)

simplify83.0ms (0.8%)

prune165.0ms (1.6%)

localize20.0ms (0.2%)

rewrite53.0ms (0.5%)

series1.5s (14.8%)

simplify80.0ms (0.8%)

prune412.0ms (4%)

localize26.0ms (0.3%)

rewrite35.0ms (0.3%)

series818.0ms (8%)

simplify88.0ms (0.9%)

prune232.0ms (2.3%)

regimes568.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (47.4%)

Profiling