Details

analyze729.0ms

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

sample61.0ms

Algorithm

intervals

Results

24.0ms	54×	body	1280	valid
10.0ms	131×	body	80	valid
9.0ms	32×	body	640	valid
5.0ms	25×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	4×	body	80	invalid

simplify458.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	139	9
1	139	9

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 x (tan.f64 B))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
9×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r_binary64` `difference-of-squares_binary64` `associate-/l_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `associate-/r/_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

3 → 80

Calls

3 calls:

15.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
4.0ms	(/.f64 1 (sin.f64 B))
6.0ms	(/.f64 x (tan.f64 B))

series82.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
5.0ms	(/.f64 1 (sin.f64 B))
49.0ms	(/.f64 x (tan.f64 B))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5069	817

prune63.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
0.1b	(/.f64 x (sin.f64 B))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-*l/_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `sub-div_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
4.0ms	(/.f64 x (sin.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))
8.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

series57.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
11.0ms	(/.f64 x (sin.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))
18.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	997
1	4943	997

prune57.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (cos.f64 B))
0.1b	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_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 → 48

Calls

2 calls:

4.0ms	(*.f64 x (cos.f64 B))
6.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

series23.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (cos.f64 B))
16.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

simplify52.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5011	554

prune33.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 (tan.f64 B) x)
0.2b	(/.f64 1 (/.f64 (tan.f64 B) x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac_binary64`
111×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`
64×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
19×	`associate-/r*_binary64`
15×	`difference-of-squares_binary64`
13×	`add-cbrt-cube_binary64`
11×	`div-inv_binary64`
10×	`div-exp_binary64`
9×	`associate-/l*_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
5×	`cbrt-undiv_binary64`
3×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `flip--_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

4 → 169

Calls

4 calls:

33.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
4.0ms	(/.f64 1 (sin.f64 B))
4.0ms	(/.f64 (tan.f64 B) x)
7.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

series65.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
4.0ms	(/.f64 1 (sin.f64 B))
13.0ms	(/.f64 (tan.f64 B) x)
20.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5139	1872

prune65.0ms

Filtered

112 candidates to 181 candidates (-61.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	181	6	187

Merged error: 0.0b

Counts

187 → 6

regimes66.0ms

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	35	9
1	35	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

792.0ms	1767×	body	1280	valid
387.0ms	1345×	body	640	valid
290.0ms	3804×	body	80	valid
145.0ms	704×	body	320	valid
55.0ms	380×	body	160	valid
14.0ms	167×	body	80	invalid
0.0ms	1×	body	640	invalid

Details

analyze729.0ms

sample61.0ms

simplify458.0ms

prune10.0ms

localize11.0ms

rewrite30.0ms

series82.0ms

simplify57.0ms

prune63.0ms

localize12.0ms

rewrite27.0ms

series57.0ms

simplify58.0ms

prune57.0ms

localize9.0ms

rewrite12.0ms

series23.0ms

simplify52.0ms

prune33.0ms

localize10.0ms

rewrite56.0ms

series65.0ms

simplify63.0ms

prune65.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling