Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	56×	body	1280	valid
3.0ms	37×	body	640	valid
3.0ms	130×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	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

prune3.0ms

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)
9.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series48.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(cbrt (+ x 1.0))
24.0ms	(cbrt x)
16.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify588.0ms

Counts

53 → 53

Iterations

Useful iterations: done (587.0ms)

Iter	Nodes	Cost
0	133	716
1	292	651
2	739	604
3	1931	527
done	5000	518

prune102.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

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

localize16.0ms

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)

series105.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt x) (cbrt x))
25.0ms	(cbrt x)
24.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify723.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (308.0ms)

Iter	Nodes	Cost
0	76	590
1	151	526
2	449	466
3	1164	417
4	2497	378
done	5001	378

prune149.0ms

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:

25.0ms	(cbrt x)
39.0ms	(cbrt (* (cbrt x) (cbrt x)))
37.0ms	(cbrt (cbrt x))
46.0ms	(pow (cbrt (cbrt x)) 4)

simplify695.0ms

Counts

70 → 70

Iterations

Useful iterations: done (693.0ms)

Iter	Nodes	Cost
0	111	584
1	241	541
2	570	468
3	1648	427
done	5000	422

prune199.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	60	19	79

Merged error: 0.1b

Counts

79 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`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 → 61

Calls

4 calls:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (* (cbrt x) (cbrt x)))
33.0ms	(cbrt (cbrt x))
37.0ms	(cbrt (cbrt x))
46.0ms	(pow (cbrt (cbrt x)) 4)

simplify781.0ms

Counts

73 → 73

Iterations

Useful iterations: done (779.0ms)

Iter	Nodes	Cost
0	101	627
1	216	582
2	520	503
3	1552	468
done	5001	463

prune134.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	14	16
Picked	1	0	1
Done	0	2	2
Total	74	18	92

Merged error: 0.1b

Counts

92 → 18

regimes102.0ms

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

sample655.0ms

Algorithm

intervals

Results

216.0ms	1729×	body	1280	valid
112.0ms	1190×	body	640	valid
111.0ms	4161×	body	80	valid
42.0ms	602×	body	320	valid
18.0ms	318×	body	160	valid

Details

sample28.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series48.0ms

simplify588.0ms

prune102.0ms

localize16.0ms

rewrite12.0ms

series105.0ms

simplify723.0ms

prune149.0ms

localize18.0ms

rewrite13.0ms

series146.0ms

simplify695.0ms

prune199.0ms

localize24.0ms

rewrite14.0ms

series157.0ms

simplify781.0ms

prune134.0ms

regimes102.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample655.0ms

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