Details

analyze745.0ms

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

sample66.0ms

Algorithm

intervals

Results

24.0ms	54×	body	1280	valid
16.0ms	43×	body	640	valid
9.0ms	122×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	3×	body	80	invalid

simplify434.0ms

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

localize21.0ms

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

rewrite29.0ms

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (*.f64 x (/.f64 1.0 (tan.f64 B))))
13.0ms	(/.f64 1.0 (tan.f64 B))
6.0ms	(/.f64 1.0 (sin.f64 B))
46.0ms	(*.f64 x (/.f64 1.0 (tan.f64 B)))

simplify81.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4954	989
1	4954	989

prune139.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

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 (*.f64 x 1.0) (tan.f64 B))
0.2b	(/.f64 1.0 (sin.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)))
5.0ms	(/.f64 (*.f64 x 1.0) (tan.f64 B))
4.0ms	(/.f64 1.0 (sin.f64 B))

series82.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 (*.f64 x 1.0) (tan.f64 B)))
36.0ms	(/.f64 (*.f64 x 1.0) (tan.f64 B))
6.0ms	(/.f64 1.0 (sin.f64 B))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4981	730
1	4981	730

prune82.0ms

Filtered

57 candidates to 73 candidates (-28.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x))))
0.1b	(/.f64 (tan.f64 B) (*.f64 1.0 x))
0.2b	(/.f64 1.0 (sin.f64 B))
0.3b	(/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac_binary64`
47×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64`
30×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
15×	`div-exp_binary64`
11×	`associate-/r*_binary64`
9×	`associate-/l*_binary64`
8×	`cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64`
4×	`prod-exp_binary64`
3×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-unprod_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`

Counts

4 → 126

Calls

4 calls:

23.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x))))
5.0ms	(/.f64 (tan.f64 B) (*.f64 1.0 x))
4.0ms	(/.f64 1.0 (sin.f64 B))
7.0ms	(/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x))))
16.0ms	(/.f64 (tan.f64 B) (*.f64 1.0 x))
6.0ms	(/.f64 1.0 (sin.f64 B))
27.0ms	(/.f64 1 (/.f64 (tan.f64 B) (*.f64 1.0 x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4944	1462
1	4944	1462

prune128.0ms

Filtered

93 candidates to 138 candidates (-48.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	137	8	145

Merged error: 0.0b

Counts

145 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))))
0.2b	(/.f64 1.0 (sin.f64 B))
0.3b	(/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x))))
0.3b	(.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
33×	`div-exp_binary64`
29×	`add-cbrt-cube_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`1-exp_binary64` `rec-exp_binary64` `times-frac_binary64`
9×	`pow1_binary64` `cbrt-undiv_binary64`
8×	`cbrt-unprod_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `associate-/r/_binary64` `div-inv_binary64` `tan-quot_binary64`
3×	`associate-l_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

15.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))))
4.0ms	(/.f64 1.0 (sin.f64 B))
10.0ms	(/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x))))
9.0ms	(.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(-.f64 (/.f64 1.0 (sin.f64 B)) (/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))))
6.0ms	(/.f64 1.0 (sin.f64 B))
29.0ms	(/.f64 1 (.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x))))
17.0ms	(.f64 (tan.f64 B) (/.f64 1 (.f64 1.0 x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4921	1204
1	4921	1204

prune92.0ms

Filtered

80 candidates to 141 candidates (-76.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	141	8	149

Merged error: 0.0b

Counts

149 → 8

regimes108.0ms

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	33	13
1	33	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

803.0ms	1791×	body	1280	valid
392.0ms	1411×	body	640	valid
276.0ms	3716×	body	80	valid
143.0ms	726×	body	320	valid
52.0ms	356×	body	160	valid
11.0ms	168×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	invalid

Details

analyze745.0ms

sample66.0ms

simplify434.0ms

prune10.0ms

localize21.0ms

rewrite29.0ms

series112.0ms

simplify81.0ms

prune139.0ms

localize10.0ms

rewrite22.0ms

series82.0ms

simplify50.0ms

prune82.0ms

localize12.0ms

rewrite43.0ms

series91.0ms

simplify60.0ms

prune128.0ms

localize15.0ms

rewrite42.0ms

series92.0ms

simplify69.0ms

prune92.0ms

regimes108.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling