Details

analyze4.0ms

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

sample85.0ms

Algorithm

intervals

Results

45.0ms	99×	body	1280	valid
25.0ms	85×	body	640	valid
7.0ms	46×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	9×	body	80	valid

simplify261.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (244.0ms)

Iter	Nodes	Cost
0	5130	12

prune1.0ms

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: 58.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 94

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series3.9s

Counts

2 → 6

Calls

2 calls:

2.0s	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
1.8s	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	32130	9
0	32130	9
0	1	3
1	1	3
0	22985	9
1	22985	9
0	22985	9
1	22985	9
0	1	3
1	1	3

simplify71.0ms

Counts

100 → 100

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4990	1821
1	4990	1821

prune73.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	6	101

Merged error: 57.9b

Counts

101 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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×	`log-pow_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--r+_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:

12.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
4.0ms	(log.f64 (+.f64 1 eps))
4.0ms	(log.f64 (-.f64 1 eps))

series1.9s

Counts

3 → 9

Calls

3 calls:

1.1s	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
339.0ms	(log.f64 (+.f64 1 eps))
442.0ms	(log.f64 (-.f64 1 eps))

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

simplify122.0ms

Counts

74 → 74

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4930	938
1	4930	938

prune70.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 57.8b

Counts

80 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

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

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 eps))
4.0ms	(log.f64 (+.f64 1 eps))
4.0ms	(log.f64 (+.f64 1 eps))
6.0ms	(log.f64 (-.f64 1 eps))

series1.5s

Counts

4 → 12

Calls

4 calls:

340.0ms	(log.f64 (+.f64 1 eps))
340.0ms	(log.f64 (+.f64 1 eps))
339.0ms	(log.f64 (+.f64 1 eps))
433.0ms	(log.f64 (-.f64 1 eps))

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

simplify154.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5020	708

prune100.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 57.8b

Counts

88 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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 eps))
4.0ms	(log.f64 (+.f64 1 eps))
6.0ms	(log.f64 (-.f64 1 eps))
8.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))

series1.8s

Counts

4 → 12

Calls

4 calls:

350.0ms	(log.f64 (+.f64 1 eps))
349.0ms	(log.f64 (+.f64 1 eps))
447.0ms	(log.f64 (-.f64 1 eps))
657.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))

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

simplify177.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	5056	837

prune108.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	76	11	87

Merged error: 57.8b

Counts

87 → 11

regimes57.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	36
1	50	36

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	3370×	body	1280	valid
607.0ms	2479×	body	640	valid
184.0ms	1271×	body	320	valid
58.0ms	654×	body	160	valid
9.0ms	226×	body	80	valid

Details

analyze4.0ms

sample85.0ms

simplify261.0ms

prune1.0ms

localize5.0ms

rewrite25.0ms

series3.9s

simplify71.0ms

prune73.0ms

localize9.0ms

rewrite23.0ms

series1.9s

simplify122.0ms

prune70.0ms

localize10.0ms

rewrite20.0ms

series1.5s

simplify154.0ms

prune100.0ms

localize20.0ms

rewrite25.0ms

series1.8s

simplify177.0ms

prune108.0ms

regimes57.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample2.5s

Profiling