Details

analyze756.0ms

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

sample69.0ms

Algorithm

intervals

Results

29.0ms	59×	body	1280	valid
16.0ms	56×	body	640	valid
9.0ms	120×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	4×	body	160	valid
0.0ms	7×	body	80	invalid

simplify527.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	141	14
1	141	14

prune7.0ms

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))

rewrite45.0ms

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:

31.0ms	(-.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))

series280.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
20.0ms	(/.f64 1 (sin.f64 B))
133.0ms	(/.f64 x (tan.f64 B))

simplify110.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4869	1308
1	4869	1308

prune77.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize10.0ms

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 1 (sin.f64 B))
0.1b	(/.f64 x (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 1 (sin.f64 B))
4.0ms	(/.f64 x (sin.f64 B))
8.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

series269.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
19.0ms	(/.f64 1 (sin.f64 B))
49.0ms	(/.f64 x (sin.f64 B))
92.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

simplify87.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5107	1565

prune79.0ms

Filtered

82 candidates to 115 candidates (-40.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	117	8	125

Merged error: 0b

Counts

125 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_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` `*-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

3.0ms	(-.f64 1 (*.f64 x (cos.f64 B)))
4.0ms	(*.f64 x (cos.f64 B))
6.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

series135.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 1 (*.f64 x (cos.f64 B)))
29.0ms	(*.f64 x (cos.f64 B))
75.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

simplify72.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5004	1072

prune48.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	68	8	76

Merged error: 0b

Counts

76 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 (cos.f64 B) (sin.f64 B))
0.3b	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

rewrite28.0ms

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×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `associate-r/_binary64` `associate-l*_binary64` `div-inv_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 x (/.f64 (cos.f64 B) (sin.f64 B))))
4.0ms	(/.f64 1 (sin.f64 B))
4.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
7.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
19.0ms	(/.f64 1 (sin.f64 B))
29.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
93.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

simplify83.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4991	1657
1	4991	1657

prune66.0ms

Filtered

80 candidates to 115 candidates (-43.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

783.0ms	1721×	body	1280	valid
403.0ms	1428×	body	640	valid
273.0ms	3807×	body	80	valid
137.0ms	685×	body	320	valid
51.0ms	359×	body	160	valid
11.0ms	164×	body	80	invalid
2.0ms	4×	body	1280	invalid
0.0ms	1×	body	640	invalid

Details

analyze756.0ms

sample69.0ms

simplify527.0ms

prune7.0ms

localize11.0ms

rewrite45.0ms

series280.0ms

simplify110.0ms

prune77.0ms

localize10.0ms

rewrite27.0ms

series269.0ms

simplify87.0ms

prune79.0ms

localize9.0ms

rewrite15.0ms

series135.0ms

simplify72.0ms

prune48.0ms

localize10.0ms

rewrite28.0ms

series255.0ms

simplify83.0ms

prune66.0ms

regimes36.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling