Details

analyze332.0ms (2.6%)

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
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)

sample317.0ms (2.5%)

Algorithm

1×

intervals

Results

248.0ms	133×	body	1024	valid
15.0ms	61×	body	1024	invalid
14.0ms	64×	body	512	valid
7.0ms	36×	body	512	invalid
5.0ms	83×	body	128	invalid
5.0ms	8×	body	2048	valid
4.0ms	29×	body	256	valid
2.0ms	19×	body	256	invalid
1.0ms	22×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify160.0ms (1.3%)

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

43.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.6b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3423` `*-un-lft-identity_binary64_3401`
9×	`cancel-sign-sub-inv_binary64_3367`
7×	`pow1_binary64_3462` `add-exp-log_binary64_3439` `add-cbrt-cube_binary64_3437`
6×	`add-cube-cbrt_binary64_3436`
5×	`associate-r_binary64_3341`
4×	`distribute-rgt-in_binary64_3351` `add-log-exp_binary64_3440` `distribute-lft-in_binary64_3350`
3×	`cbrt-unprod_binary64_3434` `prod-exp_binary64_3450` `sub-neg_binary64_3394` `pow-prod-down_binary64_3472`
2×	`distribute-lft-out--_binary64_3353` `flip--_binary64_3376` `flip3--_binary64_3405` `difference-of-squares_binary64_3370` `associate-*r/_binary64_3343`
1×	`diff-log_binary64_3493` `associate-l_binary64_3342` `*-commutative_binary64_3332`

Counts

2 → 46

Calls

4 calls:

16.0ms	(.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))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series193.0ms (1.5%)

Counts

2 → 16

Calls

2 calls:

165.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
28.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 379 to 317 computations (16.4% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune125.0ms (1%)

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

0.4b

Counts

63 → 4

Compiler

Compiled 1067 to 473 computations (55.7% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_3423`
29×	`associate-r_binary64_3341`
24×	`add-exp-log_binary64_3439`
15×	`*-un-lft-identity_binary64_3401` `add-cube-cbrt_binary64_3436` `add-cbrt-cube_binary64_3437`
12×	`associate--l+_binary64_3338` `prod-exp_binary64_3450` `unpow-prod-down_binary64_3480`
10×	`unswap-sqr_binary64_3369` `associate-l_binary64_3342`
9×	`pow1_binary64_3462`
6×	`cbrt-unprod_binary64_3434` `distribute-rgt-in_binary64_3351` `distribute-lft-in_binary64_3350` `sub-neg_binary64_3394` `cancel-sign-sub-inv_binary64_3367` `sqr-pow_binary64_3373`
4×	`cube-prod_binary64_3429` `add-log-exp_binary64_3440` `*-commutative_binary64_3332`
3×	`pow-to-exp_binary64_3470` `pow-exp_binary64_3469` `pow-prod-down_binary64_3472`
2×	`associate-*r/_binary64_3343`
1×	`flip--_binary64_3376` `flip3--_binary64_3405` `cube-mult_binary64_3431` `unpow3_binary64_3467`

Counts

4 → 113

Calls

8 calls:

16.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
8.0ms	(*.f64 1/60 (pow.f64 im 5))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))
0.0ms	(-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 1/60 (pow.f64 im 5)))

series412.0ms (3.3%)

Counts

4 → 19

Calls

4 calls:

284.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
53.0ms	(*.f64 1/2520 (pow.f64 im 7))
41.0ms	(*.f64 1/60 (pow.f64 im 5))
32.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 890 to 761 computations (14.5% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5177	2526

prune306.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	124	8	132
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	126	10	136

Error

0.3b

Counts

136 → 10

Compiler

Compiled 4589 to 3558 computations (22.5% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3423`
23×	`associate-l_binary64_3342`
21×	`add-exp-log_binary64_3439`
19×	`associate-r_binary64_3341`
16×	`*-un-lft-identity_binary64_3401` `add-cube-cbrt_binary64_3436`
15×	`add-cbrt-cube_binary64_3437`
11×	`pow1_binary64_3462`
10×	`prod-exp_binary64_3450`
8×	`unswap-sqr_binary64_3369` `unpow-prod-down_binary64_3480`
6×	`cbrt-unprod_binary64_3434`
4×	`cube-prod_binary64_3429` `add-log-exp_binary64_3440` `pow-prod-down_binary64_3472` `sqr-pow_binary64_3373` `*-commutative_binary64_3332`
3×	`distribute-rgt-neg-in_binary64_3359` `distribute-lft-neg-in_binary64_3358`
2×	`pow-to-exp_binary64_3470` `pow-exp_binary64_3469` `associate-*r/_binary64_3343`
1×	`distribute-rgt-in_binary64_3351` `distribute-lft-in_binary64_3350` `cube-mult_binary64_3431` `distribute-rgt-neg-out_binary64_3361` `flip-+_binary64_3375` `unpow3_binary64_3467` `neg-mul-1_binary64_3397` `flip3-+_binary64_3404`

Counts

4 → 104

Calls

8 calls:

13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (*.f64 (pow.f64 im 3) -1/3))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
6.0ms	(*.f64 (sin.f64 re) (neg.f64 im))
6.0ms	(*.f64 (pow.f64 im 5) -1/60)
0.0ms	(+.f64 (.f64 (pow.f64 im 5) -1/60) (.f64 (pow.f64 im 3) -1/3))

series477.0ms (3.8%)

Counts

4 → 22

Calls

4 calls:

305.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (*.f64 (pow.f64 im 3) -1/3))))
95.0ms	(*.f64 (sin.f64 re) (neg.f64 im))
41.0ms	(*.f64 (pow.f64 im 5) -1/60)
35.0ms	(*.f64 (pow.f64 im 3) -1/3)

Compiler

Compiled 1197 to 970 computations (19% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	1977
1	4983	1977

prune275.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	124	12	136

Error

0.3b

Counts

136 → 12

Compiler

Compiled 4653 to 3152 computations (32.3% saved)

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.0b	(*.f64 (pow.f64 im 7) -1/2520)
0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (neg.f64 im) (cbrt.f64 (sin.f64 re)))) (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 (pow.f64 im 7) -1/2520) (+.f64 (.f64 (pow.f64 im 5) -1/60) (.f64 (pow.f64 im 3) -1/3)))))
0.0b	(+.f64 (.f64 (pow.f64 im 5) -1/60) (.f64 (pow.f64 im 3) -1/3))
0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3432`
23×	`add-sqr-sqrt_binary64_3423`
15×	`*-un-lft-identity_binary64_3401` `add-cube-cbrt_binary64_3436`
11×	`pow1_binary64_3462`
9×	`pow1/3_binary64_3483`
6×	`associate-r_binary64_3341` `swap-sqr_binary64_3368` `associate-l_binary64_3342` `add-exp-log_binary64_3439`
4×	`add-log-exp_binary64_3440` `unswap-sqr_binary64_3369` `add-cbrt-cube_binary64_3437`
2×	`pow-prod-up_binary64_3471` `pow-prod-down_binary64_3472` `pow-sqr_binary64_3374`
1×	`cbrt-unprod_binary64_3434` `prod-exp_binary64_3450` `*-commutative_binary64_3332` `pow2_binary64_3482` `pow-plus_binary64_3464`

Counts

4 → 73

Calls

8 calls:

8.0ms	(*.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))
0.0ms	(+.f64 (.f64 (pow.f64 im 5) -1/60) (.f64 (pow.f64 im 3) -1/3))

series329.0ms (2.6%)

Counts

4 → 16

Calls

4 calls:

101.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
79.0ms	(cbrt.f64 (sin.f64 re))
78.0ms	(cbrt.f64 (sin.f64 re))
71.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1134 to 875 computations (22.8% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune166.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	89	12	101

Error

0.3b

Counts

101 → 12

Compiler

Compiled 3512 to 1924 computations (45.2% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	1068	2314
1	1068	2314

regimes731.0ms (5.8%)

Accuracy

Total 0.7b remaining (94.9%)

Threshold costs 0.7b (94.9%)

Compiler

Compiled 10016 to 7946 computations (20.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	41
1	57	41

end0.0ms (0%)

sample8.2s (65.4%)

Algorithm

1×

intervals

Results

1.6s	4089×	body	1024	valid
467.0ms	1916×	body	1024	invalid
425.0ms	1998×	body	512	valid
172.0ms	994×	body	512	invalid
161.0ms	2553×	body	128	invalid
143.0ms	1074×	body	256	valid
117.0ms	213×	body	2048	valid
60.0ms	484×	body	256	invalid
47.0ms	626×	body	128	valid

Compiler

Compiled 4517 to 3563 computations (21.1% saved)

Pareto

0.2058039094270805

Details

analyze332.0ms (2.6%)

sample317.0ms (2.5%)

simplify160.0ms (1.3%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite27.0ms (0.2%)

series193.0ms (1.5%)

simplify69.0ms (0.6%)

prune125.0ms (1%)

localize19.0ms (0.2%)

rewrite50.0ms (0.4%)

series412.0ms (3.3%)

simplify55.0ms (0.4%)

prune306.0ms (2.4%)

localize21.0ms (0.2%)

rewrite43.0ms (0.3%)

series477.0ms (3.8%)

simplify72.0ms (0.6%)

prune275.0ms (2.2%)

localize28.0ms (0.2%)

rewrite21.0ms (0.2%)

series329.0ms (2.6%)

simplify59.0ms (0.5%)

prune166.0ms (1.3%)

simplify50.0ms (0.4%)

regimes731.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.2s (65.4%)

Profiling