Details

sample71.0ms

Algorithm

intervals

Results

30.0ms	55×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0ms

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))

rewrite14.0ms

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* 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 (50.0ms)

Iter	Nodes	Cost
0	82	458
1	189	430
2	508	396
3	1074	396
4	2473	396
done	5000	396

prune100.0ms

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:

30.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))

simplify583.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	76	792
1	164	713
2	488	581
3	1948	515
done	5001	515

prune122.0ms

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

localize17.0ms

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)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series104.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
24.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify841.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (314.0ms)

Iter	Nodes	Cost
0	76	590
1	151	525
2	383	462
3	1202	382
4	3193	374
done	5001	374

prune123.0ms

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))

rewrite13.0ms

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))

series89.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
22.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify565.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	65	694
1	129	615
2	392	521
3	1524	499
done	5000	499

prune81.0ms

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

regimes376.0ms

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

sample2.1s

Algorithm

intervals

Results

895.0ms	1517×	body	1280	valid
362.0ms	1265×	body	640	valid
299.0ms	4316×	body	80	valid
116.0ms	592×	body	320	valid
43.0ms	310×	body	160	valid

Details

sample71.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series34.0ms

simplify1.0s

prune100.0ms

localize16.0ms

rewrite14.0ms

series89.0ms

simplify583.0ms

prune122.0ms

localize17.0ms

rewrite12.0ms

series104.0ms

simplify841.0ms

prune123.0ms

localize13.0ms

rewrite13.0ms

series89.0ms

simplify565.0ms

prune81.0ms

regimes376.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

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