Details

sample63.0ms

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

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune8.0ms

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

localize10.0ms

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))

series32.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
7.0ms	(* z (cos y))

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	82	458
1	184	430
2	433	396
3	959	396
4	2244	396
done	5000	396

prune97.0ms

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:

28.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (455.0ms)

Iter	Nodes	Cost
0	76	792
1	161	709
2	449	581
3	1845	515
done	5000	515

prune123.0ms

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

localize13.0ms

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)

series103.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
25.0ms	(cbrt x)
23.0ms	(cbrt x)
27.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (627.0ms)

Iter	Nodes	Cost
0	76	590
1	147	521
2	329	462
3	892	382
4	2132	374
done	5000	374

prune119.0ms

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

localize12.0ms

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))

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 (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series88.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
20.0ms	(cbrt (cos y))
21.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify3.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	65	694
1	125	615
2	358	521
3	1329	499
4	4929	492
done	5000	492

prune257.0ms

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

regimes367.0ms

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

sample1.9s

Algorithm

intervals

Results

663.0ms	1517×	body	1280	valid
359.0ms	1265×	body	640	valid
315.0ms	4316×	body	80	valid
119.0ms	592×	body	320	valid
52.0ms	310×	body	160	valid

Details

sample63.0ms

simplify3.0ms

prune8.0ms

localize10.0ms

rewrite15.0ms

series32.0ms

simplify2.0s

prune97.0ms

localize16.0ms

rewrite14.0ms

series89.0ms

simplify1.5s

prune123.0ms

localize13.0ms

rewrite12.0ms

series103.0ms

simplify1.3s

prune119.0ms

localize12.0ms

rewrite14.0ms

series88.0ms

simplify3.6s

prune257.0ms

regimes367.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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