Details

analyze694.0ms (5.1%)

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)

sample150.0ms (1.1%)

Algorithm

1×

intervals

Results

65.0ms	139×	body	1024	valid
20.0ms	75×	body	1024	invalid
14.0ms	64×	body	512	valid
8.0ms	38×	body	512	invalid
7.0ms	11×	body	2048	valid
7.0ms	95×	body	128	invalid
4.0ms	28×	body	256	valid
2.0ms	18×	body	256	invalid
1.0ms	14×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify205.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune5.0ms (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

44.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize18.0ms (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))

rewrite135.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

44.8b

Rules

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

Counts

2 → 46

Calls

2 calls:

22.0ms	(.f64 (.f64 1/2 (sin.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)

series224.0ms (1.6%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

177.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 638 to 468 computations (26.6% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune65.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.1b

Counts

63 → 3

Compiler

Compiled 1034 to 423 computations (59.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite251.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

31×	`add-sqr-sqrt_binary64_3510`
25×	`associate-l_binary64_3429`
18×	`add-exp-log_binary64_3526`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
12×	`add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
9×	`unswap-sqr_binary64_3456`
8×	`pow1_binary64_3549` `prod-exp_binary64_3537` `unpow-prod-down_binary64_3567`
4×	`add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `associate-r/_binary64_3430` `-commutative_binary64_3419` `cube-prod_binary64_3516` `sqr-pow_binary64_3460`
3×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
2×	`pow-prod-down_binary64_3559` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556`
1×	`flip3--_binary64_3492` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `flip3-+_binary64_3491` `flip-+_binary64_3462`

Counts

4 → 102

Calls

4 calls:

13.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
10.0ms	(*.f64 (pow.f64 im 5) 1/120)
9.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
6.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 3507 to 2371 computations (32.4% saved)

series698.0ms (5.1%)

Error

0.1b

Counts

4 → 26

Calls

4 calls:

340.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
234.0ms	(.f64 (sin.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
48.0ms	(*.f64 (pow.f64 im 5) 1/120)
38.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 1975 to 1480 computations (25.1% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4961	1941
1	4961	1941

prune307.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	122	9	131

Error

0.1b

Counts

131 → 9

Compiler

Compiled 4205 to 2847 computations (32.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))
0.6b	(cbrt.f64 (sin.f64 re))

rewrite170.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
3.0ms	(cbrt.f64 (sin.f64 re))
3.0ms	(cbrt.f64 (sin.f64 re))
3.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2898 to 1475 computations (49.1% saved)

series428.0ms (3.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

106.0ms	(cbrt.f64 (sin.f64 re))
104.0ms	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
99.0ms	(cbrt.f64 (sin.f64 re))
79.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 1626 to 1160 computations (28.7% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune178.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	88	10	98

Error

0.0b

Counts

98 → 10

Compiler

Compiled 3525 to 2046 computations (42% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
0.3b	(pow.f64 (sin.f64 re) 2)
0.6b	(cbrt.f64 (sin.f64 re))
13.1b	(cbrt.f64 (pow.f64 (sin.f64 re) 2))

rewrite234.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`cbrt-prod_binary64_3519`
12×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
11×	`associate-l_binary64_3429`
10×	`pow1_binary64_3549` `add-exp-log_binary64_3526`
9×	`unpow-prod-down_binary64_3567`
6×	`add-cbrt-cube_binary64_3524`
4×	`add-log-exp_binary64_3527`
3×	`unpow2_binary64_3553` `sqr-pow_binary64_3460` `pow-unpow_binary64_3565` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
2×	`pow1/3_binary64_3570` `associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow-pow_binary64_3560` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-r_binary64_3428` `*-commutative_binary64_3419`

Counts

4 → 73

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
3.0ms	(pow.f64 (sin.f64 re) 2)
2.0ms	(cbrt.f64 (pow.f64 (sin.f64 re) 2))
2.0ms	(cbrt.f64 (sin.f64 re))

Compiler

Compiled 2872 to 1893 computations (34.1% saved)

series525.0ms (3.9%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

247.0ms	(.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (sin.f64 re))))
105.0ms	(cbrt.f64 (pow.f64 (sin.f64 re) 2))
98.0ms	(cbrt.f64 (sin.f64 re))
36.0ms	(pow.f64 (sin.f64 re) 2)

Compiler

Compiled 1910 to 1453 computations (23.9% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4925	1136
1	4925	1136

prune190.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	95	10	105

Error

0.0b

Counts

105 → 10

Compiler

Compiled 3170 to 2091 computations (34% saved)

regimes1.4s (10%)

Accuracy

Total 0.7b remaining (97.3%)

Threshold costs 0.7b (97.3%)

Compiler

Compiled 15452 to 11246 computations (27.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	159	40
1	159	40

end0.0ms (0%)

sample7.4s (54.1%)

Algorithm

1×

intervals

Results

2.1s	4075×	body	1024	valid
581.0ms	2017×	body	1024	invalid
563.0ms	2085×	body	512	valid
226.0ms	1014×	body	512	invalid
205.0ms	2627×	body	128	invalid
165.0ms	1015×	body	256	valid
157.0ms	223×	body	2048	valid
79.0ms	531×	body	256	invalid
50.0ms	602×	body	128	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 2535 to 1844 computations (27.3% saved)

Details

analyze694.0ms (5.1%)

sample150.0ms (1.1%)

simplify205.0ms (1.5%)

prune5.0ms (0%)

localize18.0ms (0.1%)

rewrite135.0ms (1%)

series224.0ms (1.6%)

simplify86.0ms (0.6%)

prune65.0ms (0.5%)

localize19.0ms (0.1%)

rewrite251.0ms (1.8%)

series698.0ms (5.1%)

simplify89.0ms (0.7%)

prune307.0ms (2.3%)

localize29.0ms (0.2%)

rewrite170.0ms (1.2%)

series428.0ms (3.1%)

simplify69.0ms (0.5%)

prune178.0ms (1.3%)

localize24.0ms (0.2%)

rewrite234.0ms (1.7%)

series525.0ms (3.9%)

simplify80.0ms (0.6%)

prune190.0ms (1.4%)

regimes1.4s (10%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample7.4s (54.1%)

Profiling