Details

analyze938.0ms

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

sample59.0ms

Algorithm

intervals

Results

27.0ms	76×	body	1024	valid
10.0ms	125×	body	128	valid
8.0ms	35×	body	512	valid
3.0ms	20×	body	256	valid
1.0ms	8×	body	128	invalid

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	140	14
1	140	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 x (tan.f64 B))
0.1b	(/.f64 1 (sin.f64 B))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
8×	`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`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

3 → 79

Calls

3 calls:

16.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
4.0ms	(/.f64 x (tan.f64 B))
6.0ms	(/.f64 1 (sin.f64 B))

series515.0ms

Counts

3 → 9

Calls

3 calls:

249.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
218.0ms	(/.f64 x (tan.f64 B))
47.0ms	(/.f64 1 (sin.f64 B))

simplify99.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4876	1301
1	4876	1301

prune70.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize11.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
14×	`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`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_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` `inv-pow_binary64` `rec-exp_binary64` `sub-div_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 102

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

series518.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
98.0ms	(/.f64 x (sin.f64 B))
37.0ms	(/.f64 1 (sin.f64 B))
166.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

simplify68.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5113	1558

prune82.0ms

Filtered

82 candidates to 114 candidates (-39.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	113	7	120

Merged error: 0b

Counts

120 → 7

localize11.0ms

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))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac_binary64`
111×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`
64×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`
17×	`add-exp-log_binary64`
15×	`difference-of-squares_binary64`
13×	`add-cbrt-cube_binary64`
11×	`div-inv_binary64`
9×	`associate-/l*_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `div-exp_binary64`
5×	`cbrt-undiv_binary64`
3×	`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 → 166

Calls

4 calls:

34.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
4.0ms	(/.f64 1 (sin.f64 B))
7.0ms	(/.f64 (tan.f64 B) x)
6.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

series587.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
44.0ms	(/.f64 1 (sin.f64 B))
99.0ms	(/.f64 (tan.f64 B) x)
182.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5088	2987

prune107.0ms

Filtered

114 candidates to 178 candidates (-56.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	178	7	185

Merged error: 0b

Counts

185 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))

series200.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 x (cos.f64 B))
147.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

simplify64.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5018	882

prune33.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0b

Counts

61 → 7

regimes37.0ms

Accuracy

0% (0.2b 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	31	17
1	31	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

835.0ms	2314×	body	1024	valid
304.0ms	4009×	body	128	valid
248.0ms	1105×	body	512	valid
86.0ms	565×	body	256	valid
12.0ms	174×	body	128	invalid
5.0ms	7×	body	2048	valid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	1024	invalid

Details

analyze938.0ms

sample59.0ms

simplify176.0ms

prune7.0ms

localize11.0ms

rewrite39.0ms

series515.0ms

simplify99.0ms

prune70.0ms

localize11.0ms

rewrite34.0ms

series518.0ms

simplify68.0ms

prune82.0ms

localize11.0ms

rewrite66.0ms

series587.0ms

simplify82.0ms

prune107.0ms

localize9.0ms

rewrite13.0ms

series200.0ms

simplify64.0ms

prune33.0ms

regimes37.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling