Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

257×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	19	6
3	47	6
4	114	6
5	306	6
6	996	6
7	3780	6
done	5000	6

prune5.0ms

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: 28.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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 (* 2.0 (pow x 2.0)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(pow x 2.0)
77.0ms	(sqrt (* 2.0 (pow x 2.0)))

simplify1.4s

Counts

33 → 33

Iterations

Useful iterations: 4 (548.0ms)

Iter	Nodes	Cost
0	75	258
1	161	233
2	329	214
3	789	198
4	2522	197
done	5001	197

prune85.0ms

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

rewrite9.0ms

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:

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

series134.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(pow x 2.0)
109.0ms	(pow (* 2.0 (pow x 2.0)) 1/2)

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	94	360
1	207	306
2	434	287
3	1152	270
4	4757	269
done	5000	269

prune76.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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 2.0) (sqrt (pow x 2.0)))
3.0ms	(sqrt (pow x 2.0))

series152.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(pow x 2.0)
69.0ms	(* (sqrt 2.0) (sqrt (pow x 2.0)))
62.0ms	(sqrt (pow x 2.0))

simplify1.5s

Counts

82 → 82

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	118	758
1	254	686
2	606	652
3	1514	630
done	5001	629

prune155.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify1.9s

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	42	304
1	79	293
2	196	265
3	412	265
4	626	265
5	1121	265
6	2571	265
done	5000	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

regimes159.0ms

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

sample439.0ms

Algorithm

intervals

Results

288.0ms

8006×

body

valid

Details

sample23.0ms

simplify4.6s

prune5.0ms

localize7.0ms

rewrite10.0ms

series105.0ms

simplify1.4s

prune85.0ms

localize7.0ms

rewrite9.0ms

series134.0ms

simplify2.3s

prune76.0ms

localize8.0ms

rewrite16.0ms

series152.0ms

simplify1.5s

prune155.0ms

localize7.0ms

rewrite6.0ms

series7.0ms

simplify1.9s

prune47.0ms

regimes159.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample439.0ms

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