Details

analyze44.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

sample32.0ms

Algorithm

intervals

Results

15.0ms	89×	body	1280	valid
5.0ms	45×	body	640	valid
2.0ms	82×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	6×	body	80	invalid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4816	9
1	4816	9

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: 29.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `rem-exp-log_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(exp.f64 (*.f64 a x))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

series789.0ms

Counts

2 → 6

Calls

2 calls:

387.0ms	(exp.f64 (*.f64 a x))
403.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	390	609
1	390	609
0	90	390
1	90	390
0	390	609
1	390	609
0	90	390
1	90	390
0	5140	12
0	346	573
1	346	573
0	84	384
1	84	384
0	346	573
1	346	573
0	84	384
1	84	384
0	5140	12

simplify197.0ms

Counts

33 → 33

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	4907	340
1	4907	340

prune27.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	6	34

Merged error: 29.1b

Counts

34 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
0.0b	(exp.f64 (*.f64 a x))
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
8×	`add-log-exp_binary64`
5×	`pow1_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`cube-div_binary64` `insert-posit16`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `exp-to-pow_binary64` `pow-exp_binary64` `exp-prod_binary64`

Counts

4 → 93

Calls

4 calls:

7.0ms	(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
2.0ms	(exp.f64 (*.f64 a x))
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

series1.6s

Counts

4 → 12

Calls

4 calls:

481.0ms	(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
389.0ms	(exp.f64 (*.f64 a x))
361.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
400.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	390	609
1	390	609
0	90	390
1	90	390
0	390	609
1	390	609
0	90	390
1	90	390
0	5140	12
0	143	1760
1	143	1760
0	5322	1232
0	143	1760
1	143	1760
0	5322	1232
0	1	3
1	1	3
0	346	573
1	346	573
0	84	384
1	84	384
0	346	573
1	346	573
0	84	384
1	84	384
0	5140	12
0	541	1274
1	541	1274
0	4867	794
1	4867	794
0	541	1274
1	541	1274
0	4867	794
1	4867	794
0	1	3
1	1	3

simplify130.0ms

Counts

105 → 105

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4904	1496
1	4904	1496

prune53.0ms

Filtered

55 candidates to 105 candidates (-90.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	105	6	111

Merged error: 29.0b

Counts

111 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.0b	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
8×	`log-pow_binary64` `exp-prod_binary64`
7×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `log-prod_binary64` `difference-of-squares_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64` `flip--_binary64` `exp-to-pow_binary64`

Counts

3 → 49

Calls

3 calls:

2.0ms	(exp.f64 (*.f64 a x))
6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

series1.2s

Counts

3 → 9

Calls

3 calls:

386.0ms	(exp.f64 (*.f64 a x))
424.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 (*.f64 a x)) 1)))
405.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	390	609
1	390	609
0	90	390
1	90	390
0	390	609
1	390	609
0	90	390
1	90	390
0	5140	12
0	488	1438
1	488	1438
0	4918	1107
1	4918	1107
0	488	1438
1	488	1438
0	4918	1107
1	4918	1107
0	1	3
1	1	3
0	346	573
1	346	573
0	84	384
1	84	384
0	346	573
1	346	573
0	84	384
1	84	384
0	5140	12

simplify130.0ms

Counts

58 → 58

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4939	607
1	4939	607

prune35.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 29.0b

Counts

64 → 6

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 29.0b

Counts

6 → 6

regimes61.0ms

Accuracy

0% (0.3b remaining)

Error of 30.1b against oracle of 29.8b and baseline of 30.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample932.0ms

Algorithm

intervals

Results

479.0ms	2708×	body	1280	valid
148.0ms	1316×	body	640	valid
67.0ms	2772×	body	80	valid
63.0ms	804×	body	320	valid
21.0ms	400×	body	160	valid
4.0ms	144×	body	80	invalid

Details

analyze44.0ms

sample32.0ms

simplify114.0ms

prune1.0ms

localize4.0ms

rewrite8.0ms

series789.0ms

simplify197.0ms

prune27.0ms

localize7.0ms

rewrite24.0ms

series1.6s

simplify130.0ms

prune53.0ms

localize7.0ms

rewrite15.0ms

series1.2s

simplify130.0ms

prune35.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify19.0ms

prune0.0ms

regimes61.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample932.0ms

Profiling