Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	56×	body	1280	valid
3.0ms	37×	body	640	valid
3.0ms	130×	body	80	valid
2.0ms	29×	body	320	valid
0.0ms	4×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

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: 30.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.1b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series45.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
23.0ms	(cbrt x)
15.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify949.0ms

Counts

53 → 53

Iterations

Useful iterations: 3 (335.0ms)

Iter	Nodes	Cost
0	133	716
1	290	651
2	689	604
3	1919	499
done	5000	499

prune95.0ms

Filtered

41 candidates to 53 candidates (-29.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0.2b

Counts

54 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series101.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
23.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (625.0ms)

Iter	Nodes	Cost
0	76	590
1	147	521
2	329	462
3	892	382
4	2132	374
done	5000	374

prune148.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.1b

Counts

90 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
0.8b	(pow (cbrt (cbrt x)) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt x))
4.0ms	(pow (cbrt (cbrt x)) 4)

series146.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
41.0ms	(cbrt (* (cbrt x) (cbrt x)))
33.0ms	(cbrt (cbrt x))
48.0ms	(pow (cbrt (cbrt x)) 4)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (907.0ms)

Iter	Nodes	Cost
0	111	584
1	238	527
2	491	474
3	1156	427
4	4099	385
done	5000	385

prune181.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	63	16	79

Merged error: 0.1b

Counts

79 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.9b	(pow (cbrt (cbrt x)) 5)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
4.0ms	(pow (cbrt (cbrt x)) 5)

series140.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
36.0ms	(cbrt (cbrt x))
32.0ms	(cbrt (cbrt x))
49.0ms	(pow (cbrt (cbrt x)) 5)

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: 4 (440.0ms)

Iter	Nodes	Cost
0	90	590
1	191	539
2	373	487
3	843	459
4	2397	447
done	5000	447

prune144.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	1	12	13
Picked	1	0	1
Done	0	2	2
Total	71	20	91

Merged error: 0.1b

Counts

91 → 20

regimes110.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	22
1	17	20
done	17	20

end0.0ms

sample623.0ms

Algorithm

intervals

Results

204.0ms	1729×	body	1280	valid
110.0ms	1190×	body	640	valid
102.0ms	4161×	body	80	valid
41.0ms	602×	body	320	valid
17.0ms	318×	body	160	valid

Details

sample23.0ms

simplify3.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series45.0ms

simplify949.0ms

prune95.0ms

localize15.0ms

rewrite12.0ms

series101.0ms

simplify1.3s

prune148.0ms

localize18.0ms

rewrite13.0ms

series146.0ms

simplify2.1s

prune181.0ms

localize15.0ms

rewrite13.0ms

series140.0ms

simplify1.4s

prune144.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample623.0ms

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