Details

analyze764.0ms

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

sample74.0ms

Algorithm

intervals

Results

24.0ms	43×	body	1280	valid
16.0ms	55×	body	640	valid
10.0ms	129×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	8×	body	80	invalid

simplify532.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	140	14
1	140	14

prune24.0ms

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

localize32.0ms

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))

rewrite29.0ms

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:

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))

series295.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
23.0ms	(/.f64 1 (sin.f64 B))
151.0ms	(/.f64 x (tan.f64 B))

simplify130.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4911	1301
1	4911	1301

prune322.0ms

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

localize15.0ms

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

rewrite57.0ms

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:

37.0ms	(-.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))

series307.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
29.0ms	(/.f64 1 (sin.f64 B))
56.0ms	(/.f64 (tan.f64 B) x)
99.0ms	(/.f64 1 (/.f64 (tan.f64 B) x))

simplify123.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4972	2987
1	4972	2987

prune562.0ms

Filtered

114 candidates to 178 candidates (-56.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	177	7	184

Merged error: 0.0b

Counts

184 → 7

localize24.0ms

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64` `times-frac_binary64`
28×	`add-cube-cbrt_binary64`
17×	`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`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_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 → 110

Calls

4 calls:

7.0ms	(-.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)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
22.0ms	(/.f64 1 (sin.f64 B))
55.0ms	(/.f64 1 (tan.f64 B))
114.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))

simplify80.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5093	1408

prune398.0ms

Filtered

77 candidates to 122 candidates (-58.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`associate-l_binary64`
15×	`add-exp-log_binary64`
12×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64`
4×	`unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `associate-*l/_binary64`

Counts

3 → 88

Calls

3 calls:

5.0ms	(/.f64 1 (sin.f64 B))
10.0ms	(*.f64 x (cos.f64 B))
9.0ms	(.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (.f64 x (cos.f64 B))))

series128.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/.f64 1 (sin.f64 B))
31.0ms	(*.f64 x (cos.f64 B))
75.0ms	(.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (.f64 x (cos.f64 B))))

simplify80.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5037	1317

prune318.0ms

Filtered

65 candidates to 97 candidates (-49.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

regimes189.0ms

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	56	17
1	56	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

765.0ms	1673×	body	1280	valid
431.0ms	1457×	body	640	valid
294.0ms	3817×	body	80	valid
141.0ms	662×	body	320	valid
58.0ms	391×	body	160	valid
16.0ms	217×	body	80	invalid
0.0ms	1×	body	1280	invalid

Details

analyze764.0ms

sample74.0ms

simplify532.0ms

prune24.0ms

localize32.0ms

rewrite29.0ms

series295.0ms

simplify130.0ms

prune322.0ms

localize15.0ms

rewrite57.0ms

series307.0ms

simplify123.0ms

prune562.0ms

localize24.0ms

rewrite26.0ms

series315.0ms

simplify80.0ms

prune398.0ms

localize15.0ms

rewrite27.0ms

series128.0ms

simplify80.0ms

prune318.0ms

regimes189.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.1s

Profiling