Details

analyze911.0ms (12.5%)

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
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)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	205×	body	128	valid
9.0ms	28×	body	1024	valid
5.0ms	64×	body	128	invalid
4.0ms	19×	body	512	valid
3.0ms	13×	body	512	invalid
2.0ms	5×	body	1024	invalid
1.0ms	4×	body	256	invalid
1.0ms	4×	body	256	valid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify257.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	7278	24

prune3.0ms (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

Merged error: 25.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
4.0b	(.f64 (.f64 x (pow.f64 s 2)) x)
8.2b	(*.f64 x (pow.f64 s 2))
17.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite43.0ms (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:

11.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
10.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
6.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
6.0ms	(*.f64 x (pow.f64 s 2))

series179.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
57.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
30.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
23.0ms	(*.f64 x (pow.f64 s 2))

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5001	2228

prune136.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 1.1b

Counts

132 → 7

Compiler

Compiled 2651 to 1206 computations (54.5% saved)

localize9.0ms (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))))
0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
4.6b	(.f64 s (.f64 c x))
4.6b	(.f64 s (.f64 c x))

rewrite25.0ms (0.4%)

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:

5.0ms	(.f64 s (.f64 c x))
5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
5.0ms	(.f64 s (.f64 c x))
4.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))

series186.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
25.0ms	(.f64 s (.f64 c x))
24.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
24.0ms	(.f64 s (.f64 c x))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5021	1306

prune120.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	10	96
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	89	14	103

Merged error: 0.8b

Counts

103 → 14

Compiler

Compiled 2191 to 954 computations (56.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
0.4b	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 c x))))
4.6b	(.f64 s (.f64 c x))
4.6b	(.f64 s (.f64 c x))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
21×	`times-frac_binary64_425` `add-exp-log_binary64_457`
18×	`add-cbrt-cube_binary64_455`
14×	`pow1_binary64_480`
12×	`cbrt-prod_binary64_450`
7×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-/l*_binary64_364`
6×	`pow-prod-down_binary64_490` `associate-l_binary64_360` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`clear-num_binary64_418` `div-inv_binary64_416` `associate-r_binary64_359` `*-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 96

Calls

4 calls:

8.0ms	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
4.0ms	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 c x))))

series278.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(/.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (cbrt.f64 (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
104.0ms	(/.f64 (cbrt.f64 (cos.f64 (.f64 x 2))) (fabs.f64 (.f64 s (*.f64 c x))))
26.0ms	(.f64 s (.f64 c x))
24.0ms	(.f64 s (.f64 c x))

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4974	2258
1	4974	2258

prune203.0ms (2.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	107	15	122

Merged error: 0.8b

Counts

122 → 15

Compiler

Compiled 4337 to 2291 computations (47.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2)))
0.3b	(pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)
0.3b	(/.f64 1 (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2))))
4.6b	(.f64 s (.f64 c x))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_425`
113×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
51×	`unpow-prod-down_binary64_498`
37×	`add-exp-log_binary64_457`
31×	`associate-/r*_binary64_363`
20×	`div-exp_binary64_470`
17×	`sqr-pow_binary64_391` `unpow2_binary64_484`
16×	`add-cbrt-cube_binary64_455`
11×	`pow1_binary64_480` `associate-/l*_binary64_364`
6×	`div-inv_binary64_416`
5×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
4×	`1-exp_binary64_463` `add-log-exp_binary64_458` `rec-exp_binary64_469` `cbrt-undiv_binary64_453`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`inv-pow_binary64_504` `associate-r_binary64_359` `associate-/r/_binary64_365` `*-commutative_binary64_350` `pow-flip_binary64_493` `pow-pow_binary64_491`

Counts

4 → 227

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2))))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2)))
2.0ms	(pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)

series238.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(/.f64 1 (/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2))))
90.0ms	(/.f64 (pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2) (cos.f64 (*.f64 x 2)))
28.0ms	(.f64 s (.f64 c x))
22.0ms	(pow.f64 (fabs.f64 (.f64 s (.f64 c x))) 2)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5012	7106

prune301.0ms (4.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	236	3	239
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	238	16	254

Merged error: 0.0b

Counts

254 → 16

Compiler

Compiled 5854 to 3177 computations (45.7% saved)

regimes928.0ms (12.8%)

Compiler: Compiled 10601 to 7442 computations (29.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	23
1	18	23

end0.0ms (0%)

sample3.0s (40.8%)

Algorithm

1×

intervals

Results

464.0ms	6146×	body	128	valid
298.0ms	925×	body	1024	valid
154.0ms	1874×	body	128	invalid
139.0ms	616×	body	512	valid
66.0ms	199×	body	1024	invalid
56.0ms	239×	body	512	invalid
47.0ms	308×	body	256	valid
29.0ms	158×	body	256	invalid
2.0ms	5×	body	2048	valid

Compiler

Compiled 1750 to 1229 computations (29.8% saved)

Details

analyze911.0ms (12.5%)

sample53.0ms (0.7%)

simplify257.0ms (3.5%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite43.0ms (0.6%)

series179.0ms (2.5%)

simplify62.0ms (0.8%)

prune136.0ms (1.9%)

localize9.0ms (0.1%)

rewrite25.0ms (0.4%)

series186.0ms (2.6%)

simplify61.0ms (0.8%)

prune120.0ms (1.6%)

localize15.0ms (0.2%)

rewrite33.0ms (0.4%)

series278.0ms (3.8%)

simplify86.0ms (1.2%)

prune203.0ms (2.8%)

localize11.0ms (0.1%)

rewrite47.0ms (0.6%)

series238.0ms (3.3%)

simplify100.0ms (1.4%)

prune301.0ms (4.1%)

regimes928.0ms (12.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (40.8%)

Profiling