Details

sample65.0ms

Algorithm

intervals

Results

23.0ms	55×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x (sin y)) (* z (cos y)))
5.0ms	(* x (sin y))
4.0ms	(* z (cos y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
8.0ms	(* z (cos y))

simplify1.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	82	458
1	189	432
2	455	396
3	1042	396
4	2460	396
done	5000	396

prune98.0ms

Filtered

42 candidates to 56 candidates (-33.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite14.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series89.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))

simplify768.0ms

Counts

85 → 85

Iterations

Useful iterations: done (766.0ms)

Iter	Nodes	Cost
0	76	792
1	164	715
2	507	586
3	2000	521
done	5001	515

prune121.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(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)
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series102.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
27.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify726.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (305.0ms)

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

prune116.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite16.0ms

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:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series85.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify969.0ms

Counts

85 → 85

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	65	694
1	129	621
2	414	521
3	1623	505
done	5000	499

prune76.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	85	13	98

Merged error: 0.0b

Counts

98 → 13

regimes371.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
done	15	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

640.0ms	1517×	body	1280	valid
355.0ms	1265×	body	640	valid
289.0ms	4316×	body	80	valid
114.0ms	592×	body	320	valid
42.0ms	310×	body	160	valid

Details

sample65.0ms

simplify4.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series33.0ms

simplify1.0s

prune98.0ms

localize16.0ms

rewrite14.0ms

series89.0ms

simplify768.0ms

prune121.0ms

localize14.0ms

rewrite12.0ms

series102.0ms

simplify726.0ms

prune116.0ms

localize13.0ms

rewrite16.0ms

series85.0ms

simplify969.0ms

prune76.0ms

regimes371.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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