Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

257×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	5	8
1	10	6
2	20	6
3	49	6
4	131	6
5	372	6
6	1121	6
7	4086	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)))

rewrite11.0ms

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)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(pow x 2.0)
91.0ms	(sqrt (* 2 (pow x 2.0)))

simplify825.0ms

Counts

33 → 33

Iterations

Useful iterations: 4 (357.0ms)

Iter	Nodes	Cost
0	76	258
1	165	233
2	397	214
3	1042	198
4	3604	197
done	5000	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

localize8.0ms

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:

3.0ms	(pow x 2.0)
5.0ms	(pow (* 2 (pow x 2.0)) 1/2)

series139.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(pow x 2.0)
111.0ms	(pow (* 2 (pow x 2.0)) 1/2)

simplify457.0ms

Counts

42 → 42

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	94	360
1	212	308
2	521	287
3	1425	270
done	5000	270

prune82.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

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

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))

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))

series167.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(pow x 2.0)
74.0ms	(* (sqrt 2) (sqrt (pow x 2.0)))
69.0ms	(sqrt (pow x 2.0))

simplify516.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (197.0ms)

Iter	Nodes	Cost
0	120	758
1	261	690
2	755	652
3	2196	630
done	5001	630

prune162.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

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))))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify854.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	42	304
1	81	293
2	209	265
3	435	265
4	658	265
5	1193	265
6	3039	265
done	5001	265

prune53.0ms

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

sample564.0ms

Algorithm

intervals

Results

400.0ms

8006×

body

valid

Details

sample27.0ms

simplify2.2s

prune10.0ms

localize7.0ms

rewrite11.0ms

series115.0ms

simplify825.0ms

prune85.0ms

localize8.0ms

rewrite9.0ms

series139.0ms

simplify457.0ms

prune82.0ms

localize6.0ms

rewrite16.0ms

series167.0ms

simplify516.0ms

prune162.0ms

localize7.0ms

rewrite6.0ms

series8.0ms

simplify854.0ms

prune53.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample564.0ms

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