Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
11.0ms	172×	body	80	valid
8.0ms	29×	body	640	valid
6.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	20	9
done	20	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 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

8.0ms	(+ (+ x (sin y)) (* z (cos y)))
5.0ms	(* z (cos y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

simplify504.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	63	349
1	167	332
2	468	304
3	1452	304
done	5000	304

prune57.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

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:

6.0ms	(* (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))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

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

prune96.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
29.0ms	(cbrt (* z (cos y)))
28.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (* z (cos y)))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	85	786
1	186	709
2	515	609
3	1524	524
4	4482	490
done	5000	488

prune97.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt z))
0.5b	(cbrt z)
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-r`
5×	`pow1/3`
4×	`associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt z))
1.0ms	(cbrt z)
3.0ms	(cbrt (* z (cos y)))
3.0ms	(cbrt (* z (cos y)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* z (cos y))) (cbrt z))
24.0ms	(cbrt z)
27.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (* z (cos y)))

simplify976.0ms

Counts

65 → 65

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	97	614
1	198	597
2	516	534
3	1365	482
4	3562	464
done	5000	460

prune69.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

regimes287.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

415.0ms	992×	body	1280	valid
356.0ms	5569×	body	80	valid
233.0ms	845×	body	640	valid
70.0ms	378×	body	320	valid
29.0ms	216×	body	160	valid

Details

sample55.0ms

simplify7.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series20.0ms

simplify504.0ms

prune57.0ms

localize13.0ms

rewrite13.0ms

series89.0ms

simplify1.2s

prune96.0ms

localize13.0ms

rewrite16.0ms

series118.0ms

simplify1.2s

prune97.0ms

localize17.0ms

rewrite14.0ms

series106.0ms

simplify976.0ms

prune69.0ms

regimes287.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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