Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample93.0ms

Algorithm

intervals

Results

53.0ms	99×	body	1280	valid
24.0ms	85×	body	640	valid
8.0ms	45×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	9×	body	80	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	451	15
1	451	15

prune3.0ms

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: 58.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 93

Calls

2 calls:

11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series3.1s

Counts

2 → 6

Calls

2 calls:

1.5s	(/.f64 (+.f64 1 x) (-.f64 1 x))
1.6s	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	25092	9
0	25092	9
0	1	3
1	1	3
0	17104	9
1	17104	9
0	17104	9
1	17104	9
0	1	3
1	1	3

simplify103.0ms

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5036	1827

prune81.0ms

Filtered

59 candidates to 99 candidates (-67.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 57.9b

Counts

100 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
5.1b	(log.f64 (+.f64 1 x))
5.4b	(log.f64 (-.f64 1 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate--r+_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 65

Calls

3 calls:

13.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (+.f64 1 x))
5.0ms	(log.f64 (-.f64 1 x))

series1.9s

Counts

3 → 9

Calls

3 calls:

1.1s	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
334.0ms	(log.f64 (+.f64 1 x))
435.0ms	(log.f64 (-.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	6784	9
1	6784	9
0	6784	9
1	6784	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3
0	16387	9
1	16387	9
0	16387	9
1	16387	9
0	1	3
1	1	3

simplify149.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4938	938
1	4938	938

prune80.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	69	12	81

Merged error: 57.8b

Counts

81 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

5.1b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))
5.4b	(log.f64 (-.f64 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
17×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
2×	`difference-of-squares_binary64`
1×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
5.0ms	(log.f64 (-.f64 1 x))

series1.5s

Counts

4 → 12

Calls

4 calls:

339.0ms	(log.f64 (+.f64 1 x))
338.0ms	(log.f64 (+.f64 1 x))
338.0ms	(log.f64 (+.f64 1 x))
451.0ms	(log.f64 (-.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	6784	9
1	6784	9
0	6784	9
1	6784	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3

simplify151.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5020	708

prune111.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	80	10	90

Merged error: 57.8b

Counts

90 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b	(log.f64 (+.f64 1 x))
5.1b	(log.f64 (+.f64 1 x))
5.4b	(log.f64 (-.f64 1 x))
5.4b	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
17×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
2×	`difference-of-squares_binary64`
1×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))
5.0ms	(log.f64 (-.f64 1 x))
8.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

series1.8s

Counts

4 → 12

Calls

4 calls:

340.0ms	(log.f64 (+.f64 1 x))
338.0ms	(log.f64 (+.f64 1 x))
440.0ms	(log.f64 (-.f64 1 x))
652.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8112	9
1	8112	9
0	8112	9
1	8112	9
0	1	3
1	1	3
0	6784	9
1	6784	9
0	6784	9
1	6784	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3
0	4415	9
1	4415	9
0	4415	9
1	4415	9
0	1	3
1	1	3

simplify176.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	5056	837

prune119.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	76	12	88

Merged error: 57.8b

Counts

88 → 12

regimes107.0ms

Accuracy

0% (0.3b remaining)

Error of 58.3b against oracle of 58.1b and baseline of 58.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	39
1	35	39

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	3371×	body	1280	valid
701.0ms	2479×	body	640	valid
221.0ms	1268×	body	320	valid
70.0ms	657×	body	160	valid
13.0ms	225×	body	80	valid

Details

analyze5.0ms

sample93.0ms

simplify43.0ms

prune3.0ms

localize6.0ms

rewrite31.0ms

series3.1s

simplify103.0ms

prune81.0ms

localize7.0ms

rewrite25.0ms

series1.9s

simplify149.0ms

prune80.0ms

localize11.0ms

rewrite20.0ms

series1.5s

simplify151.0ms

prune111.0ms

localize21.0ms

rewrite24.0ms

series1.8s

simplify176.0ms

prune119.0ms

regimes107.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample2.8s

Profiling