Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

257×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	5	8
1	10	6
2	20	6
3	49	6
4	123	6
5	336	6
6	1054	6
7	3941	6
done	5000	6

prune10.0ms

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: 28.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow x 2.0)
27.0b	(sqrt (* 2 (pow x 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

2.0ms	(pow x 2.0)
6.0ms	(sqrt (* 2 (pow x 2.0)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(pow x 2.0)
76.0ms	(sqrt (* 2 (pow x 2.0)))

simplify1.4s

Counts

33 → 33

Iterations

Useful iterations: 4 (587.0ms)

Iter	Nodes	Cost
0	76	258
1	162	233
2	330	214
3	790	198
4	2529	197
done	5001	197

prune80.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	7	34

Merged error: 12.4b

Counts

34 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow x 2.0)
27.0b	(pow (* 2 (pow x 2.0)) 1/2)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log`
6×	`pow-unpow` `pow-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down`
3×	`pow-to-exp` `prod-exp`
2×	`pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
1×	`unpow1/2`

Counts

2 → 36

Calls

2 calls:

5.0ms	(pow x 2.0)
5.0ms	(pow (* 2 (pow x 2.0)) 1/2)

series127.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(pow x 2.0)
105.0ms	(pow (* 2 (pow x 2.0)) 1/2)

simplify2.4s

Counts

42 → 42

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	94	360
1	208	306
2	433	287
3	1141	270
4	4681	269
done	5000	269

prune79.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Merged error: 12.4b

Counts

49 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow x 2.0)
0.4b	(* (sqrt 2) (sqrt (pow x 2.0)))
27.0b	(sqrt (pow x 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`sqrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
10×	`associate-r`
8×	`unswap-sqr`
6×	`pow1` `add-exp-log` `associate-l` `sqr-pow`
5×	`add-cbrt-cube`
3×	`rem-sqrt-square` `pow-unpow` `pow1/2` `add-log-exp`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `sqrt-pow1` `sqrt-unprod` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 73

Calls

3 calls:

2.0ms	(pow x 2.0)
8.0ms	(* (sqrt 2) (sqrt (pow x 2.0)))
2.0ms	(sqrt (pow x 2.0))

series153.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(pow x 2.0)
68.0ms	(* (sqrt 2) (sqrt (pow x 2.0)))
63.0ms	(sqrt (pow x 2.0))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	120	758
1	256	686
2	608	652
3	1514	630
done	5000	629

prune152.0ms

Filtered

54 candidates to 82 candidates (-51.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 0.1b

Counts

90 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2) (fabs (pow x (/ 2.0 2))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-l`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* (sqrt 2) (fabs (pow x (/ 2.0 2))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (sqrt 2) (fabs (pow x (/ 2.0 2))))

simplify2.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	42	304
1	79	293
2	196	265
3	390	265
4	606	265
5	1072	265
6	2587	265
done	5001	265

prune47.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

regimes104.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18
done	13	18

end0.0ms

sample543.0ms

Algorithm

intervals

Results

396.0ms

8006×

body

valid

Details

sample27.0ms

simplify5.0s

prune10.0ms

localize7.0ms

rewrite17.0ms

series103.0ms

simplify1.4s

prune80.0ms

localize7.0ms

rewrite11.0ms

series127.0ms

simplify2.4s

prune79.0ms

localize6.0ms

rewrite15.0ms

series153.0ms

simplify1.6s

prune152.0ms

localize7.0ms

rewrite6.0ms

series7.0ms

simplify2.0s

prune47.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample543.0ms

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