Details

analyze748.0ms

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

23.0ms	51×	body	1280	valid
15.0ms	52×	body	640	valid
9.0ms	120×	body	80	valid
8.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	6×	body	80	invalid

simplify440.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	382	11
1	382	11

prune10.0ms

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

localize12.0ms

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)))

rewrite31.0ms

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:

8.0ms	(-.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)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (*.f64 x (/.f64 1.0 (tan.f64 B))))
6.0ms	(/.f64 1.0 (sin.f64 B))
21.0ms	(/.f64 1.0 (tan.f64 B))
40.0ms	(*.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

prune153.0ms

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

localize12.0ms

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:

12.0ms	(-.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:

37.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 (*.f64 x 1.0) (tan.f64 B)))
6.0ms	(/.f64 1.0 (sin.f64 B))
28.0ms	(/.f64 (*.f64 x 1.0) (tan.f64 B))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5045	732

prune87.0ms

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

localize11.0ms

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))

rewrite26.0ms

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:

8.0ms	(-.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))
4.0ms	(*.f64 x (cos.f64 B))
6.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

series65.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.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))
21.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5003	853

prune102.0ms

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))

rewrite14.0ms

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))
8.0ms	(/.f64 (-.f64 1.0 (.f64 (.f64 x (cos.f64 B)) 1.0)) (sin.f64 B))

series28.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (cos.f64 B))
20.0ms	(/.f64 (-.f64 1.0 (.f64 (.f64 x (cos.f64 B)) 1.0)) (sin.f64 B))

simplify49.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	691
1	4968	691

prune54.0ms

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

regimes112.0ms

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

sample1.9s

Algorithm

intervals

Results

786.0ms	1742×	body	1280	valid
412.0ms	1457×	body	640	valid
280.0ms	3745×	body	80	valid
145.0ms	719×	body	320	valid
48.0ms	337×	body	160	valid
11.0ms	155×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	320	invalid

Details

analyze748.0ms

sample68.0ms

simplify440.0ms

prune10.0ms

localize12.0ms

rewrite31.0ms

series102.0ms

simplify55.0ms

prune153.0ms

localize12.0ms

rewrite22.0ms

series72.0ms

simplify51.0ms

prune87.0ms

localize11.0ms

rewrite26.0ms

series65.0ms

simplify58.0ms

prune102.0ms

localize10.0ms

rewrite14.0ms

series28.0ms

simplify49.0ms

prune54.0ms

regimes112.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling