Details

analyze741.0ms

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
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

sample68.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
14.0ms	52×	body	640	valid
9.0ms	120×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	6×	body	80	invalid

simplify450.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	382	11
1	382	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 (sin.f64 B)) (*.f64 x (/.f64 1.0 (tan.f64 B))))
0.1b	(/.f64 1.0 (sin.f64 B))
0.2b	(/.f64 1.0 (tan.f64 B))
0.3b	(*.f64 x (/.f64 1.0 (tan.f64 B)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
14×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `tan-quot_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

7.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (*.f64 x (/.f64 1.0 (tan.f64 B))))
4.0ms	(/.f64 1.0 (sin.f64 B))
4.0ms	(/.f64 1.0 (tan.f64 B))
10.0ms	(*.f64 x (/.f64 1.0 (tan.f64 B)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (*.f64 x (/.f64 1.0 (tan.f64 B))))
6.0ms	(/.f64 1.0 (sin.f64 B))
14.0ms	(/.f64 1.0 (tan.f64 B))
41.0ms	(*.f64 x (/.f64 1.0 (tan.f64 B)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5054	989

prune161.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	101	11	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	11	113

Merged error: 0.0b

Counts

113 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 (*.f64 x 1.0) (tan.f64 B)))
0.1b	(/.f64 1.0 (sin.f64 B))
0.2b	(/.f64 (*.f64 x 1.0) (tan.f64 B))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l*_binary64`
3×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

3 → 64

Calls

3 calls:

11.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 (*.f64 x 1.0) (tan.f64 B)))
4.0ms	(/.f64 1.0 (sin.f64 B))
5.0ms	(/.f64 (*.f64 x 1.0) (tan.f64 B))

series72.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 (*.f64 x 1.0) (tan.f64 B)))
6.0ms	(/.f64 1.0 (sin.f64 B))
31.0ms	(/.f64 (*.f64 x 1.0) (tan.f64 B))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	732

prune93.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	73	11	84

Merged error: 0.0b

Counts

84 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 (sin.f64 B)) (.f64 1.0 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))))
0.1b	(/.f64 1.0 (sin.f64 B))
0.2b	(*.f64 x (cos.f64 B))
0.2b	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/l*_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (.f64 1.0 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))))
4.0ms	(/.f64 1.0 (sin.f64 B))
4.0ms	(*.f64 x (cos.f64 B))
6.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

series67.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (.f64 1.0 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))))
6.0ms	(/.f64 1.0 (sin.f64 B))
8.0ms	(*.f64 x (cos.f64 B))
23.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5003	853

prune109.0ms

Filtered

69 candidates to 92 candidates (-33.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 x (cos.f64 B))
0.2b	(/.f64 (-.f64 1.0 (.f64 (.f64 x (cos.f64 B)) 1.0)) (sin.f64 B))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

4.0ms	(*.f64 x (cos.f64 B))
6.0ms	(/.f64 (-.f64 1.0 (.f64 (.f64 x (cos.f64 B)) 1.0)) (sin.f64 B))

series31.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 x (cos.f64 B))
20.0ms	(/.f64 (-.f64 1.0 (.f64 (.f64 x (cos.f64 B)) 1.0)) (sin.f64 B))

simplify52.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	691
1	4968	691

prune57.0ms

Filtered

46 candidates to 58 candidates (-26.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	11
1	43	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

773.0ms	1742×	body	1280	valid
409.0ms	1457×	body	640	valid
266.0ms	3745×	body	80	valid
142.0ms	719×	body	320	valid
50.0ms	337×	body	160	valid
10.0ms	155×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	320	invalid

Details

analyze741.0ms

sample68.0ms

simplify450.0ms

prune12.0ms

localize23.0ms

rewrite30.0ms

series103.0ms

simplify55.0ms

prune161.0ms

localize10.0ms

rewrite22.0ms

series72.0ms

simplify50.0ms

prune93.0ms

localize12.0ms

rewrite23.0ms

series67.0ms

simplify60.0ms

prune109.0ms

localize10.0ms

rewrite12.0ms

series31.0ms

simplify52.0ms

prune57.0ms

regimes119.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling