Details

analyze742.0ms

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

sample62.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
12.0ms	43×	body	640	valid
9.0ms	124×	body	80	valid
6.0ms	28×	body	320	valid
2.0ms	13×	body	160	valid
0.0ms	5×	body	80	invalid

simplify476.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	139	9
1	139	9

prune11.0ms

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

localize12.0ms

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))

rewrite28.0ms

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:

14.0ms	(-.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))

series92.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
32.0ms	(/.f64 x (tan.f64 B))
28.0ms	(/.f64 1 (sin.f64 B))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5069	817

prune108.0ms

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

localize13.0ms

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))
0.2b	(/.f64 (tan.f64 B) x)
0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

rewrite51.0ms

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:

29.0ms	(-.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)
6.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

series76.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
5.0ms	(/.f64 1 (sin.f64 B))
14.0ms	(/.f64 (tan.f64 B) x)
26.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

simplify61.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5139	1872

prune141.0ms

Filtered

113 candidates to 181 candidates (-60.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	181	10	191

Merged error: 0.0b

Counts

191 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64` `times-frac_binary64`
28×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
14×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `div-exp_binary64`
4×	`prod-exp_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-sub_binary64` `tan-quot_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

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

series78.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
5.0ms	(/.f64 1 (sin.f64 B))
12.0ms	(/.f64 1 (tan.f64 B))
30.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))

simplify77.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4986	900
1	4986	900

prune105.0ms

Filtered

76 candidates to 125 candidates (-64.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	124	11	135

Merged error: 0b

Counts

135 → 11

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))
0.2b	(/.f64 x (sin.f64 B))
0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.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`
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))
6.0ms	(/.f64 x (sin.f64 B))
7.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

series66.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
5.0ms	(/.f64 1 (sin.f64 B))
13.0ms	(/.f64 x (sin.f64 B))
22.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	997
1	4943	997

prune82.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	117	9	126

Merged error: 0b

Counts

126 → 9

regimes111.0ms

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	30	11
1	30	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

731.0ms	1642×	body	1280	valid
422.0ms	1497×	body	640	valid
272.0ms	3812×	body	80	valid
149.0ms	693×	body	320	valid
50.0ms	356×	body	160	valid
12.0ms	177×	body	80	invalid
1.0ms	3×	body	640	invalid
0.0ms	1×	body	1280	invalid

Details

analyze742.0ms

sample62.0ms

simplify476.0ms

prune11.0ms

localize12.0ms

rewrite28.0ms

series92.0ms

simplify58.0ms

prune108.0ms

localize13.0ms

rewrite51.0ms

series76.0ms

simplify61.0ms

prune141.0ms

localize10.0ms

rewrite28.0ms

series78.0ms

simplify77.0ms

prune105.0ms

localize10.0ms

rewrite29.0ms

series66.0ms

simplify58.0ms

prune82.0ms

regimes111.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling