Details

analyze327.0ms (4.2%)

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)

sample121.0ms (1.5%)

Algorithm

1×

intervals

Results

50.0ms	123×	body	1024	valid
20.0ms	79×	body	512	valid
14.0ms	61×	body	1024	invalid
6.0ms	36×	body	512	invalid
6.0ms	90×	body	128	invalid
5.0ms	8×	body	2048	valid
4.0ms	31×	body	256	valid
2.0ms	20×	body	256	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify173.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

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

43.5b

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)))
5.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`cancel-sign-sub-inv_binary64_3454`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
6×	`add-cube-cbrt_binary64_3523`
5×	`associate-r_binary64_3428`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `add-log-exp_binary64_3527`
3×	`cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
2×	`difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`diff-log_binary64_3580` `associate-l_binary64_3429` `*-commutative_binary64_3419`

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))

series168.0ms (2.1%)

Counts

2 → 12

Calls

2 calls:

139.0ms	(.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 320 to 270 computations (15.6% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5317	1012

prune66.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Error

0.1b

Counts

59 → 3

Compiler

Compiled 958 to 377 computations (60.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 im 3) -1/6)
0.1b	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im 3) -1/6) im))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_3510`
15×	`associate-l_binary64_3429`
10×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
9×	`add-exp-log_binary64_3526`
6×	`add-cbrt-cube_binary64_3524` `cancel-sign-sub-inv_binary64_3454` `associate-r_binary64_3428`
5×	`unswap-sqr_binary64_3456`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `pow1_binary64_3549` `prod-exp_binary64_3537`
2×	`cbrt-unprod_binary64_3521` `associate-r/_binary64_3430` `add-log-exp_binary64_3527` `sqr-pow_binary64_3460` `-commutative_binary64_3419` `sub-neg_binary64_3481`
1×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `flip3--_binary64_3492` `pow-to-exp_binary64_3557` `pow-prod-down_binary64_3559` `flip--_binary64_3463` `cube-mult_binary64_3518`

Counts

2 → 59

Calls

2 calls:

10.0ms	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im 3) -1/6) im))
6.0ms	(*.f64 (pow.f64 im 3) -1/6)

series242.0ms (3.1%)

Counts

2 → 15

Calls

2 calls:

214.0ms	(.f64 (sin.f64 re) (-.f64 (.f64 (pow.f64 im 3) -1/6) im))
28.0ms	(*.f64 (pow.f64 im 3) -1/6)

Compiler

Compiled 366 to 307 computations (16.1% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5047	1135

prune79.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Error

0.0b

Counts

77 → 8

Compiler

Compiled 1335 to 865 computations (35.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`flip3--_binary64_3492` `flip--_binary64_3463` `pow1/3_binary64_3570`
6×	`swap-sqr_binary64_3455` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`unswap-sqr_binary64_3456` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `add-log-exp_binary64_3527`
2×	`associate-l/_binary64_3431` `pow-prod-up_binary64_3558` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
7.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
6.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

series347.0ms (4.4%)

Counts

4 → 18

Calls

4 calls:

140.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
73.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
69.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
66.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

Compiler

Compiled 1272 to 1134 computations (10.8% saved)

simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4888	2235
1	4888	2235

prune229.0ms (2.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	101	12	113

Error

0.0b

Counts

113 → 12

Compiler

Compiled 3932 to 2917 computations (25.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.7b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3519`
8×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `cbrt-div_binary64_3520` `*-un-lft-identity_binary64_3488`
4×	`flip3--_binary64_3492` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `flip--_binary64_3463` `pow1/3_binary64_3570` `pow1_binary64_3549`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
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))

series303.0ms (3.9%)

Counts

4 → 16

Calls

4 calls:

81.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
78.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
73.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
70.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

Compiler

Compiled 1536 to 1340 computations (12.8% saved)

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4901	1228
1	4901	1228

prune187.0ms (2.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	68	12	80

Error

0.0b

Counts

80 → 12

Compiler

Compiled 3264 to 2510 computations (23.1% saved)

regimes494.0ms (6.3%)

Accuracy

Total 0.8b remaining (93%)

Threshold costs 0.8b (93%)

Compiler

Compiled 5582 to 4413 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms (0%)

sample4.6s (58.6%)

Algorithm

1×

intervals

Results

1.7s	4117×	body	1024	valid
458.0ms	1965×	body	1024	invalid
452.0ms	2050×	body	512	valid
168.0ms	1006×	body	512	invalid
164.0ms	2503×	body	128	invalid
138.0ms	1033×	body	256	valid
120.0ms	212×	body	2048	valid
68.0ms	499×	body	256	invalid
38.0ms	588×	body	128	valid

Compiler

Compiled 923 to 729 computations (21% saved)

Details

analyze327.0ms (4.2%)

sample121.0ms (1.5%)

simplify173.0ms (2.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite23.0ms (0.3%)

series168.0ms (2.1%)

simplify73.0ms (0.9%)

prune66.0ms (0.8%)

localize8.0ms (0.1%)

rewrite20.0ms (0.3%)

series242.0ms (3.1%)

simplify59.0ms (0.7%)

prune79.0ms (1%)

localize15.0ms (0.2%)

rewrite44.0ms (0.6%)

series347.0ms (4.4%)

simplify102.0ms (1.3%)

prune229.0ms (2.9%)

localize22.0ms (0.3%)

rewrite28.0ms (0.4%)

series303.0ms (3.9%)

simplify109.0ms (1.4%)

prune187.0ms (2.4%)

regimes494.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (58.6%)

Profiling