Details

analyze1.1s

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

sample67.0ms

Algorithm

intervals

Results

16.0ms	190×	body	80	valid
14.0ms	30×	body	1280	valid
8.0ms	24×	body	640	valid
5.0ms	59×	body	80	invalid
4.0ms	9×	body	1280	invalid
3.0ms	9×	body	640	invalid
3.0ms	12×	body	320	valid
1.0ms	6×	body	320	invalid
0.0ms	2×	body	160	invalid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	7277	16

prune6.0ms

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: 27.9b

Counts

2 → 1

localize18.0ms

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)))
6.2b	(.f64 (.f64 x (pow.f64 s 2)) x)
8.4b	(*.f64 x (pow.f64 s 2))
17.5b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite38.0ms

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`
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 → 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)))
6.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
6.0ms	(*.f64 x (pow.f64 s 2))
10.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series69.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
9.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
9.0ms	(*.f64 x (pow.f64 s 2))
21.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5017	1507

prune118.0ms

Filtered

68 candidates to 131 candidates (-92.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 2.6b

Counts

132 → 8

localize11.0ms

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)))))
4.9b	(.f64 s (.f64 c x))
4.9b	(.f64 s (.f64 c x))

rewrite22.0ms

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-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow-prod-down_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
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 → 83

Calls

4 calls:

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
27.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
10.0ms	(.f64 s (.f64 c x))
8.0ms	(.f64 s (.f64 c x))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4940	866
1	4940	866

prune136.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	84	11	95
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	88	15	103

Merged error: 2.2b

Counts

103 → 15

localize11.0ms

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))))
4.9b	(.f64 s (.f64 c x))
4.9b	(.f64 s (.f64 c x))

rewrite26.0ms

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-l*_binary64` `prod-exp_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 133

Calls

4 calls:

6.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
4.0ms	(/.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))

series61.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
16.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
8.0ms	(.f64 s (.f64 c x))
8.0ms	(.f64 s (.f64 c x))

simplify65.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4937	2565
1	4937	2565

prune174.0ms

Filtered

96 candidates to 145 candidates (-51.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	147	13	160

Merged error: 2.2b

Counts

160 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
4.9b	(.f64 s (.f64 c x))
4.9b	(.f64 s (.f64 c x))
14.8b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`times-frac_binary64`
19×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
15×	`pow1_binary64`
12×	`unpow-prod-down_binary64`
7×	`associate-/r*_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`associate-/l*_binary64` `div-exp_binary64` `sqrt-prod_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
1.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
8.0ms	(.f64 s (.f64 c x))
8.0ms	(.f64 s (.f64 c x))
7.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4936	1376
1	4936	1376

prune91.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	107	12	119

Merged error: 2.2b

Counts

119 → 12

regimes312.0ms

Accuracy

0% (0.9b remaining)

Error of 2.4b against oracle of 1.5b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	16	27

end0.0ms

sample1.9s

Algorithm

intervals

Results

529.0ms	5976×	body	80	valid
336.0ms	717×	body	1280	valid
243.0ms	720×	body	640	valid
152.0ms	1793×	body	80	invalid
97.0ms	389×	body	320	valid
86.0ms	264×	body	640	invalid
67.0ms	144×	body	1280	invalid
39.0ms	171×	body	320	invalid
34.0ms	198×	body	160	valid
17.0ms	104×	body	160	invalid

Details

analyze1.1s

sample67.0ms

simplify134.0ms

prune6.0ms

localize18.0ms

rewrite38.0ms

series69.0ms

simplify43.0ms

prune118.0ms

localize11.0ms

rewrite22.0ms

series52.0ms

simplify42.0ms

prune136.0ms

localize11.0ms

rewrite26.0ms

series61.0ms

simplify65.0ms

prune174.0ms

localize20.0ms

rewrite20.0ms

series75.0ms

simplify46.0ms

prune91.0ms

regimes312.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling