Details

analyze1.0s

Algorithm

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

sample63.0ms

Algorithm

intervals

Results

16.0ms	190×	body	80	valid
14.0ms	29×	body	1280	valid
7.0ms	21×	body	640	valid
5.0ms	60×	body	80	invalid
2.0ms	9×	body	320	valid
1.0ms	6×	body	320	invalid
1.0ms	3×	body	1280	invalid
1.0ms	7×	body	160	valid
1.0ms	3×	body	640	invalid
1.0ms	4×	body	160	invalid

simplify327.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (312.0ms)

Iter	Nodes	Cost
0	4893	24
1	4893	24

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 30.1b

Counts

2 → 1

localize14.0ms

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)))
5.2b	(.f64 (.f64 x (pow.f64 s 2)) x)
9.1b	(*.f64 x (pow.f64 s 2))
19.2b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-exp-log_binary64`
82×	`prod-exp_binary64`
34×	`add-cbrt-cube_binary64`
18×	`pow-to-exp_binary64` `add-sqr-sqrt_binary64` `pow-exp_binary64`
16×	`cbrt-unprod_binary64` `div-exp_binary64`
12×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
7×	`unpow-prod-down_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `insert-posit16`
3×	`unpow2_binary64` `sqr-pow_binary64` `associate-/l_binary64` `times-frac_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/r*_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `cos-2_binary64`

Counts

4 → 123

Calls

4 calls:

15.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
7.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
7.0ms	(*.f64 x (pow.f64 s 2))
12.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series2.4s

Counts

4 → 12

Calls

4 calls:

828.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
508.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
397.0ms	(*.f64 x (pow.f64 s 2))
653.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	1009	1486
1	1009	1486
0	5860	1284
0	1009	1486
1	1009	1486
0	5860	1284
0	1	3
1	1	3
0	466	834
1	466	834
0	35	9
1	35	9
0	466	834
1	466	834
0	35	9
1	35	9
0	1	3
1	1	3
0	551	1077
1	551	1077
0	4861	207
1	4861	207
0	551	1077
1	551	1077
0	4861	207
1	4861	207
0	1	3
1	1	3
0	1614	2131
1	1614	2131
0	282	1404
1	282	1404
0	1614	2131
1	1614	2131
0	282	1404
1	282	1404
0	1	3
1	1	3

simplify119.0ms

Counts

135 → 135

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5156	2030

prune104.0ms

Filtered

74 candidates to 135 candidates (-82.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	123	12	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	12	136

Merged error: 1.9b

Counts

136 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (*.f64 x s) c)))
0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (.f64 x s) c))))
4.3b	(.f64 (.f64 x s) c)
4.3b	(.f64 (.f64 x s) c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow-prod-down_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`swap-sqr_binary64` `associate-/l_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow-sqr_binary64` `cos-2_binary64` `pow2_binary64`

Counts

4 → 87

Calls

4 calls:

5.0ms	(.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (*.f64 x s) c)))
7.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (.f64 x s) c))))
6.0ms	(.f64 (.f64 x s) c)
7.0ms	(.f64 (.f64 x s) c)

series1.7s

Counts

4 → 12

Calls

4 calls:

258.0ms	(.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (*.f64 x s) c)))
769.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 (.f64 x s) c)) (fabs.f64 (.f64 (.f64 x s) c))))
319.0ms	(.f64 (.f64 x s) c)
316.0ms	(.f64 (.f64 x s) c)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	653	686
1	653	686
0	56	444
1	56	444
0	653	686
1	653	686
0	56	444
1	56	444
0	1	3
1	1	3
0	653	686
1	653	686
0	56	444
1	56	444
0	653	686
1	653	686
0	56	444
1	56	444
0	1	3
1	1	3
0	809	2551
1	809	2551
0	4703	2091
1	4703	2091
0	809	2551
1	809	2551
0	4703	2091
1	4703	2091
0	1	3
1	1	3
0	229	2000
1	229	2000
0	770	1437
1	770	1437
0	229	2000
1	229	2000
0	770	1437
1	770	1437
0	1	3
1	1	3

simplify146.0ms

Counts

99 → 99

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5205	1233

prune99.0ms

Filtered

60 candidates to 99 candidates (-65.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	88	11	99
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	94	17	111

Merged error: 1.7b

Counts

111 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 (.f64 x s) c))) (fabs.f64 (.f64 (*.f64 x s) c)))
0.6b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 (*.f64 x s) c)))
4.3b	(.f64 (.f64 x s) c)
4.3b	(.f64 (.f64 x s) c)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
56×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
14×	`pow1_binary64`
6×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `prod-exp_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `insert-posit16`
2×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 137

Calls

4 calls:

8.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 (.f64 x s) c))) (fabs.f64 (.f64 (*.f64 x s) c)))
5.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 (*.f64 x s) c)))
6.0ms	(.f64 (.f64 x s) c)
6.0ms	(.f64 (.f64 x s) c)

series1.6s

Calls

3 calls:

795.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 (*.f64 x s) c)))
316.0ms	(.f64 (.f64 x s) c)
317.0ms	(.f64 (.f64 x s) c)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	653	686
1	653	686
0	56	444
1	56	444
0	653	686
1	653	686
0	56	444
1	56	444
0	1	3
1	1	3
0	653	686
1	653	686
0	56	444
1	56	444
0	653	686
1	653	686
0	56	444
1	56	444
0	1	3
1	1	3
0	729	2154
1	729	2154
0	4842	1906
1	4842	1906
0	729	2154
1	729	2154
0	4842	1906
1	4842	1906
0	1	3
1	1	3
0	1119	2818
1	1119	2818

Details

analyze1.0s

sample63.0ms

simplify327.0ms

prune8.0ms

localize14.0ms

rewrite48.0ms

series2.4s

simplify119.0ms

prune104.0ms

localize11.0ms

rewrite27.0ms

series1.7s

simplify146.0ms

prune99.0ms

localize10.0ms

rewrite32.0ms

series1.6s

Profiling