Details

analyze1.2s

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

sample68.0ms

Algorithm

intervals

Results

18.0ms	190×	body	80	valid
15.0ms	24×	body	1280	valid
7.0ms	19×	body	640	valid
5.0ms	18×	body	320	valid
5.0ms	54×	body	80	invalid
3.0ms	9×	body	640	invalid
1.0ms	5×	body	160	valid
1.0ms	2×	body	1280	invalid
1.0ms	3×	body	160	invalid
0.0ms	2×	body	320	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: 29.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
2.4b	(.f64 (.f64 x (pow.f64 s 2)) x)
9.8b	(*.f64 x (pow.f64 s 2))
19.0b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite39.0ms

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))

series59.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.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)
11.0ms	(*.f64 x (pow.f64 s 2))
18.0ms	(.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

prune112.0ms

Filtered

68 candidates to 131 candidates (-92.6%)

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: 1.0b

Counts

132 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
0.2b	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
4.7b	(.f64 s (.f64 c x))
4.7b	(.f64 s (.f64 c x))

rewrite23.0ms

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:

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
6.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
6.0ms	(.f64 s (.f64 c x))
9.0ms	(.f64 s (.f64 c x))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4940	866
1	4940	866

prune121.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 0.8b

Counts

102 → 11

localize14.0ms

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))))
0.7b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
4.7b	(.f64 s (.f64 c x))
4.7b	(.f64 s (.f64 c x))

rewrite28.0ms

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:

7.0ms	(/.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))))
6.0ms	(.f64 s (.f64 c x))
6.0ms	(.f64 s (.f64 c x))

series49.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 c x)))) (fabs.f64 (.f64 s (*.f64 c x))))
13.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
6.0ms	(.f64 s (.f64 c x))
7.0ms	(.f64 s (.f64 c x))

simplify72.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4937	2565
1	4937	2565

prune175.0ms

Filtered

95 candidates to 145 candidates (-52.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	142	14	156

Merged error: 0.7b

Counts

156 → 14

localize19.0ms

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))
4.7b	(.f64 s (.f64 c x))
4.7b	(.f64 s (.f64 c x))
11.3b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

rewrite21.0ms

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))
6.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
2.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 (cos.f64 (.f64 x 2)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 3/2))
6.0ms	(.f64 s (.f64 c x))
6.0ms	(.f64 s (.f64 c x))
6.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 c x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4936	1376
1	4936	1376

prune95.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	107	13	120

Merged error: 0.7b

Counts

120 → 13

regimes327.0ms

Accuracy

0% (1.3b remaining)

Error of 2.7b against oracle of 1.4b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	28
1	24	28

end0.0ms

sample2.0s

Algorithm

intervals

Results

559.0ms	6060×	body	80	valid
332.0ms	658×	body	1280	valid
267.0ms	721×	body	640	valid
174.0ms	1818×	body	80	invalid
103.0ms	394×	body	320	valid
87.0ms	242×	body	640	invalid
63.0ms	130×	body	1280	invalid
46.0ms	186×	body	320	invalid
30.0ms	167×	body	160	valid
18.0ms	104×	body	160	invalid

Details

analyze1.2s

sample68.0ms

simplify134.0ms

prune6.0ms

localize13.0ms

rewrite39.0ms

series59.0ms

simplify43.0ms

prune112.0ms

localize10.0ms

rewrite23.0ms

series44.0ms

simplify43.0ms

prune121.0ms

localize14.0ms

rewrite28.0ms

series49.0ms

simplify72.0ms

prune175.0ms

localize19.0ms

rewrite21.0ms

series64.0ms

simplify48.0ms

prune95.0ms

regimes327.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling