Details

analyze935.0ms

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

sample71.0ms

Algorithm

intervals

Results

27.0ms	58×	body	1280	valid
14.0ms	49×	body	640	valid
8.0ms	113×	body	80	valid
5.0ms	25×	body	320	valid
2.0ms	11×	body	160	valid
0.0ms	7×	body	80	invalid

simplify448.0ms

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

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))
0.1b	(/.f64 x (tan.f64 B))

rewrite35.0ms

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:

21.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
4.0ms	(/.f64 1 (sin.f64 B))
7.0ms	(/.f64 x (tan.f64 B))

series66.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
5.0ms	(/.f64 1 (sin.f64 B))
36.0ms	(/.f64 x (tan.f64 B))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5069	817

prune108.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize13.0ms

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))

rewrite26.0ms

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
4.0ms	(/.f64 1 (sin.f64 B))
11.0ms	(/.f64 x (sin.f64 B))
17.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	997
1	4943	997

prune106.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sin.f64 B))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(.f64 (.f64 x (/.f64 1 (sin.f64 B))) (cos.f64 B))
0.3b	(*.f64 x (/.f64 1 (sin.f64 B)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
29×	`add-cube-cbrt_binary64` `times-frac_binary64`
22×	`add-cbrt-cube_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64` `prod-exp_binary64`
8×	`div-exp_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `rec-exp_binary64`
3×	`unswap-sqr_binary64` `div-inv_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

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

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 1 (sin.f64 B))
4.0ms	(/.f64 1 (sin.f64 B))
17.0ms	(.f64 (.f64 x (/.f64 1 (sin.f64 B))) (cos.f64 B))
11.0ms	(*.f64 x (/.f64 1 (sin.f64 B)))

simplify77.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4995	876
1	4995	876

prune99.0ms

Filtered

76 candidates to 134 candidates (-76.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Merged error: 0.0b

Counts

143 → 9

localize11.0ms

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

rewrite31.0ms

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))
5.0ms	(/.f64 1 (tan.f64 B))
11.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
4.0ms	(/.f64 1 (sin.f64 B))
11.0ms	(/.f64 1 (tan.f64 B))
23.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))

simplify78.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4986	900
1	4986	900

prune82.0ms

Filtered

75 candidates to 125 candidates (-66.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

regimes112.0ms

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	43	12
1	43	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

771.0ms	1725×	body	1280	valid
396.0ms	1393×	body	640	valid
275.0ms	3809×	body	80	valid
149.0ms	713×	body	320	valid
50.0ms	360×	body	160	valid
11.0ms	160×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	320	invalid
0.0ms	1×	body	640	invalid

Details

analyze935.0ms

sample71.0ms

simplify448.0ms

prune11.0ms

localize11.0ms

rewrite35.0ms

series66.0ms

simplify57.0ms

prune108.0ms

localize13.0ms

rewrite26.0ms

series54.0ms

simplify58.0ms

prune106.0ms

localize11.0ms

rewrite28.0ms

series36.0ms

simplify77.0ms

prune99.0ms

localize11.0ms

rewrite31.0ms

series64.0ms

simplify78.0ms

prune82.0ms

regimes112.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling