Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

257×

body

valid

simplify2.4s

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	132	6
5	375	6
6	1146	6
7	4116	6
done	5000	6

prune11.0ms

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)
13.0ms	(sqrt (* 2 (pow x 2.0)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(pow x 2.0)
79.0ms	(sqrt (* 2 (pow x 2.0)))

simplify1.2s

Counts

33 → 33

Iterations

Useful iterations: 4 (411.0ms)

Iter	Nodes	Cost
0	76	258
1	165	233
2	378	214
3	930	198
4	3486	197
done	5000	197

prune90.0ms

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)

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)
6.0ms	(pow (* 2 (pow x 2.0)) 1/2)

series129.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(pow x 2.0)
107.0ms	(pow (* 2 (pow x 2.0)) 1/2)

simplify506.0ms

Counts

42 → 42

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	94	360
1	212	315
2	496	291
3	1326	270
done	5000	270

prune82.0ms

Filtered

24 candidates to 42 candidates (-75.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 12.4b

Counts

49 → 9

localize9.0ms

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))

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

series159.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(pow x 2.0)
72.0ms	(* (sqrt 2) (sqrt (pow x 2.0)))
64.0ms	(sqrt (pow x 2.0))

simplify608.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	120	758
1	261	691
2	715	655
3	1844	630
done	5001	630

prune158.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	6	1	7
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.1b

Counts

91 → 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))))

simplify992.0ms

Counts

25 → 25

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	42	304
1	81	294
2	227	267
3	485	265
4	788	265
5	1344	265
6	3173	265
done	5000	265

prune54.0ms

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

regimes110.0ms

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

sample566.0ms

Algorithm

intervals

Results

403.0ms

8006×

body

valid

Details

sample28.0ms

simplify2.4s

prune11.0ms

localize7.0ms

rewrite17.0ms

series108.0ms

simplify1.2s

prune90.0ms

localize7.0ms

rewrite9.0ms

series129.0ms

simplify506.0ms

prune82.0ms

localize9.0ms

rewrite16.0ms

series159.0ms

simplify608.0ms

prune158.0ms

localize7.0ms

rewrite6.0ms

series7.0ms

simplify992.0ms

prune54.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample566.0ms

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