Details

analyze1.9s (8.5%)

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)

sample95.0ms (0.4%)

Algorithm

1×

intervals

Results

25.0ms	198×	body	128	valid
20.0ms	34×	body	1024	valid
8.0ms	63×	body	128	invalid
6.0ms	15×	body	512	valid
4.0ms	7×	body	1024	invalid
2.0ms	9×	body	256	valid
2.0ms	6×	body	256	invalid
2.0ms	4×	body	512	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify484.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (321.0ms)

Iter	Nodes	Cost
0	7278	24

prune5.0ms (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

26.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
3.8b	(.f64 (.f64 x (pow.f64 s 2)) x)
9.1b	(*.f64 x (pow.f64 s 2))
18.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite433.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

122×	`add-exp-log_binary64_457`
82×	`prod-exp_binary64_468`
34×	`add-cbrt-cube_binary64_455`
18×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `add-sqr-sqrt_binary64_441`
16×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
12×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
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×	`unpow2_binary64_484` `sqr-pow_binary64_391` `-commutative_binary64_350` `times-frac_binary64_425` `associate-/l_binary64_364`
1×	`pow-prod-down_binary64_490` `frac-2neg_binary64_430` `cos-2_binary64_561` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363`

Counts

4 → 119

Calls

4 calls:

23.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
20.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
13.0ms	(*.f64 x (pow.f64 s 2))
12.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)

Compiler

Compiled 2836 to 1920 computations (32.3% saved)

series1.3s (5.6%)

Error

26.2b

Counts

4 → 31

Calls

4 calls:

631.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
327.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
142.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
114.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1507 to 1303 computations (13.5% saved)

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4991	2501
1	4991	2501

prune291.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	140	10	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	10	151

Error

2.4b

Counts

151 → 10

Compiler

Compiled 2992 to 1443 computations (51.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
5.9b	(.f64 s (.f64 x c))
5.9b	(.f64 s (.f64 x c))

rewrite240.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

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

Counts

4 → 84

Calls

4 calls:

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

Compiler

Compiled 2197 to 640 computations (70.9% saved)

series1.1s (5.1%)

Error

2.4b

Counts

4 → 37

Calls

4 calls:

584.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
177.0ms	(.f64 s (.f64 x c))
173.0ms	(.f64 s (.f64 x c))
164.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 1745 to 1055 computations (39.5% saved)

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4970	1516
1	4970	1516

prune247.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	110	11	121
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	116	15	131

Error

2.2b

Counts

131 → 15

Compiler

Compiled 2526 to 1077 computations (57.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.7b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
5.9b	(.f64 s (.f64 x c))
5.9b	(.f64 s (.f64 x c))

rewrite371.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

84×	`times-frac_binary64_425`
56×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
21×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
16×	`associate-/l*_binary64_364`
14×	`pow1_binary64_480`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`associate-r_binary64_359` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`
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 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
9.0ms	(.f64 s (.f64 x c))
9.0ms	(.f64 s (.f64 x c))
7.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 4262 to 1412 computations (66.9% saved)

series1.3s (5.8%)

Error

2.2b

Counts

4 → 38

Calls

4 calls:

594.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
333.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
176.0ms	(.f64 s (.f64 x c))
166.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 1953 to 1075 computations (45% saved)

simplify186.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5004	4389

prune356.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	172	14	186

Error

2.2b

Counts

186 → 14

Compiler

Compiled 4637 to 1793 computations (61.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))
0.7b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
5.9b	(.f64 s (.f64 x c))
5.9b	(.f64 s (.f64 x c))

rewrite220.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

22×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
20×	`add-exp-log_binary64_457`
18×	`add-cbrt-cube_binary64_455` `times-frac_binary64_425`
15×	`pow1_binary64_480`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `associate-/l_binary64_364` `associate-/r_binary64_363`
4×	`add-log-exp_binary64_458`
3×	`div-exp_binary64_470`
2×	`associate-r_binary64_359` `*-commutative_binary64_350` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `1-exp_binary64_463` `rec-exp_binary64_469`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 s (.f64 x c))
9.0ms	(.f64 s (.f64 x c))
7.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
6.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 2631 to 1016 computations (61.4% saved)

series972.0ms (4.3%)

Error

2.2b

Counts

4 → 37

Calls

4 calls:

370.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
202.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))
179.0ms	(.f64 s (.f64 x c))
172.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2237 to 1228 computations (45.1% saved)

simplify162.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4925	2004
1	4925	2004

prune214.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	131	14	145

Error

2.2b

Counts

145 → 14

Compiler

Compiled 3200 to 1206 computations (62.3% saved)

regimes3.4s (15%)

Accuracy

Total 1.6b remaining (57.7%)

Threshold costs 0b (0%)

Compiler

Compiled 21859 to 15008 computations (31.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	28
1	15	28

end0.0ms (0%)

sample8.8s (39.2%)

Algorithm

1×

intervals

Results

837.0ms	6049×	body	128	valid
633.0ms	1011×	body	1024	valid
294.0ms	1907×	body	128	invalid
267.0ms	591×	body	512	valid
129.0ms	193×	body	1024	invalid
98.0ms	344×	body	256	valid
98.0ms	227×	body	512	invalid
58.0ms	173×	body	256	invalid
4.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 3439 to 2326 computations (32.4% saved)

Details

analyze1.9s (8.5%)

sample95.0ms (0.4%)

simplify484.0ms (2.1%)

prune5.0ms (0%)

localize23.0ms (0.1%)

rewrite433.0ms (1.9%)

series1.3s (5.6%)

simplify160.0ms (0.7%)

prune291.0ms (1.3%)

localize24.0ms (0.1%)

rewrite240.0ms (1.1%)

series1.1s (5.1%)

simplify159.0ms (0.7%)

prune247.0ms (1.1%)

localize21.0ms (0.1%)

rewrite371.0ms (1.6%)

series1.3s (5.8%)

simplify186.0ms (0.8%)

prune356.0ms (1.6%)

localize23.0ms (0.1%)

rewrite220.0ms (1%)

series972.0ms (4.3%)

simplify162.0ms (0.7%)

prune214.0ms (0.9%)

regimes3.4s (15%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample8.8s (39.2%)

Profiling