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

sample65.0ms

Algorithm

intervals

Results

17.0ms	197×	body	80	valid
12.0ms	26×	body	640	valid
12.0ms	24×	body	1280	valid
5.0ms	59×	body	80	invalid
2.0ms	7×	body	640	invalid
2.0ms	5×	body	1280	invalid
1.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	3×	body	160	invalid
0.0ms	2×	body	320	invalid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	7277	16

prune5.0ms

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: 28.5b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
4.4b	(.f64 (.f64 x (pow.f64 s 2)) x)
7.8b	(*.f64 x (pow.f64 s 2))
19.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite40.0ms

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))

series61.0ms

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)
7.0ms	(*.f64 x (pow.f64 s 2))
23.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5017	1507

prune89.0ms

Filtered

68 candidates to 131 candidates (-92.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Merged error: 1.5b

Counts

132 → 10

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))))
0.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
4.3b	(.f64 s (.f64 c x))
4.3b	(.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))))
6.0ms	(/.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))

series45.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
26.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
6.0ms	(.f64 s (.f64 c x))
7.0ms	(.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

prune89.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	91	14	105

Merged error: 1.4b

Counts

105 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
3.2b	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
4.3b	(.f64 s (.f64 c x))
4.3b	(.f64 s (.f64 c x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
24×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64` `times-frac_binary64`
14×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64` `prod-exp_binary64` `div-exp_binary64`
8×	`cbrt-unprod_binary64`
6×	`pow-prod-down_binary64` `associate-l_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `unpow2_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `pow-exp_binary64`
2×	`associate-/l/_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`
1×	`cos-mult_binary64` `div-sub_binary64` `sin-mult_binary64` `sqr-sin-a_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
8.0ms	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))

series67.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/.f64 (.f64 (cos.f64 x) (cos.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
29.0ms	(/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (fabs.f64 (.f64 s (*.f64 c x))) 2))
6.0ms	(.f64 s (.f64 c x))
6.0ms	(.f64 s (.f64 c x))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5031	1375

prune99.0ms

Filtered

75 candidates to 121 candidates (-61.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	120	15	135

Merged error: 1.2b

Counts

135 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cos.f64 (*.f64 x 2))
0.7b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
4.3b	(.f64 s (.f64 c x))
4.3b	(.f64 s (.f64 c x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

2.0ms	(cos.f64 (*.f64 x 2))
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))

series31.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(cos.f64 (*.f64 x 2))
16.0ms	(/.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))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5361	799

prune46.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	4	10	14
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Merged error: 1.2b

Counts

97 → 13

regimes287.0ms

Accuracy

0% (1.4b remaining)

Error of 2.5b against oracle of 1.0b and baseline of 2.5b

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

520.0ms	5960×	body	80	valid
332.0ms	682×	body	1280	valid
261.0ms	776×	body	640	valid
153.0ms	1781×	body	80	invalid
105.0ms	406×	body	320	valid
76.0ms	227×	body	640	invalid
63.0ms	131×	body	1280	invalid
38.0ms	165×	body	320	invalid
34.0ms	176×	body	160	valid
26.0ms	116×	body	160	invalid

Details

analyze1.2s

sample65.0ms

simplify139.0ms

prune5.0ms

localize14.0ms

rewrite40.0ms

series61.0ms

simplify45.0ms

prune89.0ms

localize11.0ms

rewrite22.0ms

series45.0ms

simplify43.0ms

prune89.0ms

localize17.0ms

rewrite29.0ms

series67.0ms

simplify50.0ms

prune99.0ms

localize11.0ms

rewrite19.0ms

series31.0ms

simplify60.0ms

prune46.0ms

regimes287.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling