Details

analyze996.0ms (12.2%)

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
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)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	195×	body	128	valid
12.0ms	31×	body	1024	valid
4.0ms	17×	body	512	valid
4.0ms	47×	body	128	invalid
3.0ms	7×	body	1024	invalid
2.0ms	13×	body	256	valid
2.0ms	10×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify337.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4892	24
1	4892	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: 27.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
4.7b	(.f64 (.f64 x (pow.f64 s 2)) x)
9.2b	(*.f64 x (pow.f64 s 2))
15.9b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64_461`
82×	`prod-exp_binary64_472`
34×	`add-cbrt-cube_binary64_459`
18×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `add-sqr-sqrt_binary64_445`
16×	`div-exp_binary64_474` `cbrt-unprod_binary64_456`
12×	`-un-lft-identity_binary64_423` `associate-l_binary64_364` `add-cube-cbrt_binary64_458` `associate-r*_binary64_363`
7×	`unpow-prod-down_binary64_502`
6×	`pow1_binary64_484`
4×	`add-log-exp_binary64_462` `unswap-sqr_binary64_391` `cbrt-undiv_binary64_457`
3×	`times-frac_binary64_429` `-commutative_binary64_354` `unpow2_binary64_488` `associate-/l_binary64_368` `sqr-pow_binary64_395`
1×	`cos-2_binary64_565` `pow-prod-down_binary64_494` `div-sub_binary64_428` `clear-num_binary64_422` `frac-2neg_binary64_434` `div-inv_binary64_420` `associate-/r*_binary64_367`

Counts

4 → 119

Calls

4 calls:

12.0ms	(/.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))

series333.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
104.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
51.0ms	(*.f64 x (pow.f64 s 2))
49.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4946	2214
1	4946	2214

prune338.0ms (4.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	120	11	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Merged error: 1.4b

Counts

132 → 11

Compiler

Compiled 6273 to 3810 computations (39.3% saved)

localize11.0ms (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))))
0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
4.8b	(.f64 s (.f64 c x))
4.8b	(.f64 s (.f64 c x))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
14×	`add-sqr-sqrt_binary64_445`
12×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
9×	`associate-l_binary64_364`
8×	`prod-exp_binary64_472` `cbrt-unprod_binary64_456`
7×	`pow-prod-down_binary64_494`
5×	`associate-r_binary64_363`
4×	`add-log-exp_binary64_462`
3×	`times-frac_binary64_429` `swap-sqr_binary64_390` `-commutative_binary64_354` `associate-/l_binary64_368`
2×	`cbrt-undiv_binary64_457` `div-exp_binary64_474`
1×	`cos-2_binary64_565` `pow-sqr_binary64_396` `sqr-abs_binary64_438` `pow-prod-up_binary64_493` `div-sub_binary64_428` `pow-plus_binary64_486` `clear-num_binary64_422` `frac-2neg_binary64_434` `div-inv_binary64_420` `unswap-sqr_binary64_391` `associate-/r*_binary64_367` `pow2_binary64_504`

Counts

4 → 84

Calls

4 calls:

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

series355.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
52.0ms	(.f64 s (.f64 c x))
52.0ms	(.f64 s (.f64 c x))
44.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4976	1306
1	4976	1306

prune599.0ms (7.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	89	18	107

Merged error: 1.2b

Counts

107 → 18

Compiler

Compiled 11083 to 7109 computations (35.9% saved)

localize11.0ms (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))))
0.6b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
4.8b	(.f64 s (.f64 c x))
4.8b	(.f64 s (.f64 c x))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_429`
56×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
21×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
16×	`associate-/l*_binary64_368`
14×	`pow1_binary64_484`
6×	`pow-prod-down_binary64_494` `associate-l_binary64_364` `prod-exp_binary64_472` `div-inv_binary64_420` `associate-/r*_binary64_367` `cbrt-unprod_binary64_456`
4×	`add-log-exp_binary64_462` `cbrt-undiv_binary64_457` `div-exp_binary64_474`
2×	`-commutative_binary64_354` `clear-num_binary64_422` `associate-r*_binary64_363` `frac-2neg_binary64_434`
1×	`associate-/l/_binary64_370`

Counts

4 → 133

Calls

4 calls:

7.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
4.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))

series384.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
100.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
54.0ms	(.f64 s (.f64 c x))
45.0ms	(.f64 s (.f64 c x))

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	4039
1	4977	4039

prune537.0ms (6.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	136	9	145
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	145	18	163

Merged error: 1.2b

Counts

163 → 18

Compiler

Compiled 10867 to 6154 computations (43.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
0.6b	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (*.f64 x 2))))
4.8b	(.f64 s (.f64 c x))
4.8b	(.f64 s (.f64 c x))

rewrite86.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_429`
233×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
47×	`associate-/l*_binary64_368`
44×	`add-exp-log_binary64_461`
28×	`add-cbrt-cube_binary64_459`
22×	`div-inv_binary64_420`
21×	`div-exp_binary64_474`
16×	`associate-/r*_binary64_367`
15×	`pow1_binary64_484`
9×	`cbrt-undiv_binary64_457`
6×	`pow-prod-down_binary64_494` `associate-l_binary64_364` `prod-exp_binary64_472` `cbrt-unprod_binary64_456`
5×	`associate-/r/_binary64_369`
4×	`rec-exp_binary64_473` `1-exp_binary64_467` `add-log-exp_binary64_462`
2×	`-commutative_binary64_354` `clear-num_binary64_422` `associate-r*_binary64_363` `frac-2neg_binary64_434`
1×	`associate-/l/_binary64_370` `pow-flip_binary64_497` `inv-pow_binary64_508`

Counts

4 → 312

Calls

4 calls:

18.0ms	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
7.0ms	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (*.f64 x 2))))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))

series412.0ms (5%)

Counts

4 → 12

Calls

4 calls:

192.0ms	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 c x))))
112.0ms	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 c x))) (cos.f64 (*.f64 x 2))))
57.0ms	(.f64 s (.f64 c x))
51.0ms	(.f64 s (.f64 c x))

simplify193.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4942	11714
1	4942	11714

prune815.0ms (10%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	2	15	17
Picked	0	1	1
Done	0	0	0
Total	324	18	342

Merged error: 1.2b

Counts

342 → 18

Compiler

Compiled 13744 to 7064 computations (48.6% saved)

regimes187.0ms (2.3%)

Compiler: Compiled 2218 to 1493 computations (32.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	31
1	18	31

end0.0ms (0%)

sample2.2s (26.3%)

Algorithm

1×

intervals

Results

563.0ms	6156×	body	128	valid
372.0ms	961×	body	1024	valid
152.0ms	1788×	body	128	invalid
144.0ms	547×	body	512	valid
72.0ms	198×	body	1024	invalid
61.0ms	245×	body	512	invalid
59.0ms	331×	body	256	valid
23.0ms	141×	body	256	invalid
3.0ms	5×	body	2048	valid
1.0ms	2×	body	2048	invalid

Compiler

Compiled 477 to 322 computations (32.5% saved)

Details

analyze996.0ms (12.2%)

sample59.0ms (0.7%)

simplify337.0ms (4.1%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite47.0ms (0.6%)

series333.0ms (4.1%)

simplify89.0ms (1.1%)

prune338.0ms (4.1%)

localize11.0ms (0.1%)

rewrite28.0ms (0.3%)

series355.0ms (4.3%)

simplify63.0ms (0.8%)

prune599.0ms (7.3%)

localize11.0ms (0.1%)

rewrite37.0ms (0.5%)

series384.0ms (4.7%)

simplify90.0ms (1.1%)

prune537.0ms (6.6%)

localize12.0ms (0.1%)

rewrite86.0ms (1.1%)

series412.0ms (5%)

simplify193.0ms (2.4%)

prune815.0ms (10%)

regimes187.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (26.3%)

Profiling