Details

analyze744.0ms

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

21.0ms	46×	body	1280	valid
16.0ms	58×	body	640	valid
12.0ms	123×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	3×	body	80	invalid

simplify219.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	9	14
1	9	14

prune13.0ms

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: 0.2b

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))

rewrite239.0ms

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` `insert-posit16`
2×	`cbrt-undiv_binary64` `consolidate-/-/-b_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `consolidate-tan_binary64` `tan-quot_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `frac-sub_binary64`

Counts

3 → 86

Calls

3 calls:

18.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
9.0ms	(/.f64 1 (sin.f64 B))
208.0ms	(/.f64 x (tan.f64 B))

series1.7s

Counts

3 → 9

Calls

3 calls:

308.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
868.0ms	(/.f64 1 (sin.f64 B))
511.0ms	(/.f64 x (tan.f64 B))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	43	2130
1	43	2130
0	32	9
1	32	9
0	43	2130
1	43	2130
0	32	9
1	32	9
0	1	3
1	1	3
0	45	1926
1	45	1926
0	28551	9
0	45	1926
1	45	1926
0	28551	9
0	1	3
1	1	3
0	5292	2628
0	142	9
1	142	9
0	5292	2628
0	142	9
1	142	9
0	1	3
1	1	3

simplify56.0ms

Counts

95 → 95

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	835	1084
1	835	1084

prune62.0ms

Filtered

60 candidates to 95 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

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 1 (sin.f64 B))
0.1b	(/.f64 x (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`
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` `insert-posit16`
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 → 107

Calls

4 calls:

10.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
5.0ms	(/.f64 1 (sin.f64 B))
5.0ms	(/.f64 x (sin.f64 B))
11.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

series1.8s

Counts

4 → 12

Calls

4 calls:

296.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
856.0ms	(/.f64 1 (sin.f64 B))
111.0ms	(/.f64 x (sin.f64 B))
519.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	4893	2601
1	4893	2601
0	97	9
1	97	9
0	4893	2601
1	4893	2601
0	97	9
1	97	9
0	1	3
1	1	3
0	105	2556
1	105	2556
0	83	9
1	83	9
0	105	2556
1	105	2556
0	83	9
1	83	9
0	1	3
1	1	3
0	45	1926
1	45	1926
0	28551	9
0	45	1926
1	45	1926
0	28551	9
0	1	3
1	1	3
0	5056	2628
0	144	9
1	144	9
0	5056	2628
0	144	9
1	144	9
0	1	3
1	1	3

simplify62.0ms

Counts

119 → 119

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	685	1436
1	685	1436

prune75.0ms

Filtered

82 candidates to 119 candidates (-45.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Merged error: 0.0b

Counts

126 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
2.0ms	(cbrt.f64 (sin.f64 B))
2.0ms	(cbrt.f64 (sin.f64 B))
2.0ms	(cbrt.f64 (sin.f64 B))

series402.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
93.0ms	(cbrt.f64 (sin.f64 B))
94.0ms	(cbrt.f64 (sin.f64 B))
94.0ms	(cbrt.f64 (sin.f64 B))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	48	1998
1	48	1998
0	561	9
1	561	9
0	48	1998
1	48	1998
0	561	9
1	561	9
0	1	3
1	1	3

simplify120.0ms

Counts

89 → 89

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5027	737

prune71.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))
0.6b	(cbrt.f64 (sin.f64 B))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
2.0ms	(cbrt.f64 (sin.f64 B))
2.0ms	(cbrt.f64 (sin.f64 B))
2.0ms	(cbrt.f64 (sin.f64 B))

series404.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(*.f64 (cbrt.f64 (sin.f64 B)) (cbrt.f64 (sin.f64 B)))
95.0ms	(cbrt.f64 (sin.f64 B))
93.0ms	(cbrt.f64 (sin.f64 B))
93.0ms	(cbrt.f64 (sin.f64 B))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	45	1917
1	45	1917
0	21	9
1	21	9
0	45	1917
1	45	1917
0	21	9
1	21	9
0	1	3
1	1	3
0	48	1998
1	48	1998
0	561	9
1	561	9
0	48	1998
1	48	1998
0	561	9
1	561	9
0	1	3
1	1	3

simplify122.0ms

Counts

89 → 89

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5027	737

prune60.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

773.0ms	1702×	body	1280	valid
411.0ms	1438×	body	640	valid
276.0ms	3801×	body	80	valid
145.0ms	731×	body	320	valid
47.0ms	328×	body	160	valid
10.0ms	149×	body	80	invalid
2.0ms	5×	body	1280	invalid
0.0ms	1×	body	160	invalid

Details

analyze744.0ms

sample66.0ms

simplify219.0ms

prune13.0ms

localize11.0ms

rewrite239.0ms

series1.7s

simplify56.0ms

prune62.0ms

localize11.0ms

rewrite34.0ms

series1.8s

simplify62.0ms

prune75.0ms

localize15.0ms

rewrite16.0ms

series402.0ms

simplify120.0ms

prune71.0ms

localize13.0ms

rewrite16.0ms

series404.0ms

simplify122.0ms

prune60.0ms

regimes46.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample1.8s

Profiling