Details

analyze2.4s (13.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5083	96
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample115.0ms (0.7%)

Algorithm

1×

intervals

Results

28.0ms	197×	body	128	valid
21.0ms	34×	body	1024	valid
9.0ms	60×	body	128	invalid
8.0ms	18×	body	512	valid
5.0ms	7×	body	1024	invalid
3.0ms	10×	body	256	invalid
2.0ms	7×	body	256	valid
2.0ms	4×	body	512	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify453.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (440.0ms)

Iter	Nodes	Cost
0	7278	24

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

30.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
3.7b	(.f64 (.f64 x (pow.f64 s 2)) x)
5.9b	(*.f64 x (pow.f64 s 2))
22.8b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite108.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64_457`
82×	`prod-exp_binary64_468`
34×	`add-cbrt-cube_binary64_455`
18×	`add-sqr-sqrt_binary64_441` `pow-exp_binary64_487` `pow-to-exp_binary64_488`
16×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
12×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360`
7×	`unpow-prod-down_binary64_498`
6×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cbrt-undiv_binary64_453`
3×	`times-frac_binary64_425` `sqr-pow_binary64_391` `-commutative_binary64_350` `unpow2_binary64_484` `associate-/l_binary64_364`
1×	`cos-2_binary64_561` `pow-prod-down_binary64_490` `clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/r*_binary64_363` `div-sub_binary64_424`

Counts

4 → 119

Calls

4 calls:

33.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
24.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
14.0ms	(*.f64 x (pow.f64 s 2))
13.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

series1.1s (6.7%)

Counts

4 → 31

Calls

4 calls:

571.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
335.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
126.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
112.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1005 to 928 computations (7.7% saved)

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4991	2501
1	4991	2501

prune272.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	141	9	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	9	151

Error

1.4b

Counts

151 → 9

Compiler

Compiled 2993 to 1428 computations (52.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
1.0b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
4.2b	(.f64 s (.f64 c x))
4.2b	(.f64 s (.f64 c x))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
14×	`add-sqr-sqrt_binary64_441`
12×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-l_binary64_360`
8×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
7×	`pow-prod-down_binary64_490`
5×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458`
3×	`times-frac_binary64_425` `-commutative_binary64_350` `swap-sqr_binary64_386` `associate-/l_binary64_364`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`cos-2_binary64_561` `clear-num_binary64_418` `div-inv_binary64_416` `unswap-sqr_binary64_387` `sqr-abs_binary64_434` `pow-plus_binary64_482` `frac-2neg_binary64_430` `pow-sqr_binary64_392` `associate-/r*_binary64_363` `pow-prod-up_binary64_489` `pow2_binary64_500` `div-sub_binary64_424`

Counts

4 → 84

Calls

4 calls:

10.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
9.0ms	(.f64 s (.f64 c x))
9.0ms	(.f64 s (.f64 c x))
7.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))

series1.0s (6.1%)

Counts

4 → 37

Calls

4 calls:

558.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
178.0ms	(.f64 s (.f64 c x))
159.0ms	(.f64 s (.f64 c x))
147.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))

Compiler

Compiled 1165 to 966 computations (17.1% saved)

simplify141.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5021	1609

prune267.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	107	14	121
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	112	18	130

Error

0.8b

Counts

130 → 18

Compiler

Compiled 2677 to 1135 computations (57.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
0.7b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
4.2b	(.f64 s (.f64 c x))
4.2b	(.f64 s (.f64 c x))

rewrite63.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_425`
56×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
21×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
16×	`associate-/l*_binary64_364`
14×	`pow1_binary64_480`
6×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`clear-num_binary64_418` `associate-r_binary64_359` `*-commutative_binary64_350` `frac-2neg_binary64_430`
1×	`associate-/l/_binary64_366`

Counts

4 → 133

Calls

4 calls:

12.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
9.0ms	(.f64 s (.f64 c x))
9.0ms	(.f64 s (.f64 c x))
7.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))

series1.2s (7.3%)

Counts

4 → 38

Calls

4 calls:

537.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
356.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
180.0ms	(.f64 s (.f64 c x))
170.0ms	(.f64 s (.f64 c x))

Compiler

Compiled 1303 to 1028 computations (21.1% saved)

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4971	4384
1	4971	4384

prune625.0ms (3.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	9	8	17
Picked	0	1	1
Done	0	0	0
Total	174	15	189

Error

0.8b

Counts

189 → 15

Compiler

Compiled 4587 to 1781 computations (61.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
4.2b	(.f64 s (.f64 c x))
4.2b	(.f64 s (.f64 c x))
13.7b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_441`
23×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
21×	`times-frac_binary64_425`
19×	`add-exp-log_binary64_457`
16×	`add-cbrt-cube_binary64_455`
15×	`pow1_binary64_480`
12×	`unpow-prod-down_binary64_498`
7×	`associate-/r*_binary64_363`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391`
3×	`sqrt-prod_binary64_435` `div-exp_binary64_470` `associate-/l*_binary64_364`
2×	`associate-r_binary64_359` `*-commutative_binary64_350`
1×	`clear-num_binary64_418` `pow1/2_binary64_499` `div-inv_binary64_416` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `cbrt-undiv_binary64_453`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 s (.f64 c x))
10.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
9.0ms	(.f64 s (.f64 c x))
2.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

series1.3s (7.8%)

Counts

4 → 37

Calls

4 calls:

838.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
179.0ms	(.f64 s (.f64 c x))
172.0ms	(.f64 s (.f64 c x))
143.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

Compiler

Compiled 1629 to 1319 computations (19% saved)

simplify179.0ms (1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4928	2475
1	4928	2475

prune268.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	131	15	146

Error

0.8b

Counts

146 → 15

Compiler

Compiled 3501 to 1375 computations (60.7% saved)

regimes1.4s (8.2%)

Accuracy

Total 1.5b remaining (57.5%)

Threshold costs 0b (0%)

Compiler

Compiled 9173 to 6530 computations (28.8% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	28
1	15	28

Compiler

Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

sample5.5s (32.3%)

Algorithm

1×

intervals

Results

864.0ms	6126×	body	128	valid
565.0ms	953×	body	1024	valid
260.0ms	586×	body	512	valid
259.0ms	1820×	body	128	invalid
124.0ms	216×	body	1024	invalid
92.0ms	331×	body	256	valid
90.0ms	222×	body	512	invalid
54.0ms	164×	body	256	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 1515 to 1074 computations (29.1% saved)

Details

analyze2.4s (13.9%)

sample115.0ms (0.7%)

simplify453.0ms (2.6%)

prune7.0ms (0%)

localize26.0ms (0.2%)

rewrite108.0ms (0.6%)

series1.1s (6.7%)

simplify153.0ms (0.9%)

prune272.0ms (1.6%)

localize19.0ms (0.1%)

rewrite48.0ms (0.3%)

series1.0s (6.1%)

simplify141.0ms (0.8%)

prune267.0ms (1.6%)

localize24.0ms (0.1%)

rewrite63.0ms (0.4%)

series1.2s (7.3%)

simplify190.0ms (1.1%)

prune625.0ms (3.6%)

localize29.0ms (0.2%)

rewrite48.0ms (0.3%)

series1.3s (7.8%)

simplify179.0ms (1%)

prune268.0ms (1.6%)

regimes1.4s (8.2%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample5.5s (32.3%)

Profiling