Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
11.0ms	172×	body	80	valid
8.0ms	29×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
done	19	9

prune3.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

7.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify962.0ms

Counts

37 → 37

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	63	349
1	154	330
2	438	322
3	1436	304
done	5000	304

prune53.0ms

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

localize16.0ms

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))

series89.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify3.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.2s)

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

prune95.0ms

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

localize17.0ms

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)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
25.0ms	(cbrt (* z (cos y)))
25.0ms	(cbrt (* z (cos y)))
25.0ms	(cbrt (* z (cos y)))

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	85	786
1	182	705
2	461	609
3	1430	512
4	4730	486
done	5000	486

prune92.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	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)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (* z (cos y))) (cbrt z))
31.0ms	(cbrt z)
24.0ms	(cbrt (* z (cos y)))
25.0ms	(cbrt (* z (cos y)))

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	97	614
1	195	594
2	463	529
3	1279	476
4	3891	450
done	5000	450

prune72.0ms

Filtered

53 candidates to 65 candidates (-22.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

regimes280.0ms

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

438.0ms	992×	body	1280	valid
355.0ms	5569×	body	80	valid
246.0ms	845×	body	640	valid
78.0ms	378×	body	320	valid
34.0ms	216×	body	160	valid

Details

sample52.0ms

simplify5.0ms

prune3.0ms

localize15.0ms

rewrite12.0ms

series19.0ms

simplify962.0ms

prune53.0ms

localize16.0ms

rewrite14.0ms

series89.0ms

simplify3.6s

prune95.0ms

localize17.0ms

rewrite16.0ms

series114.0ms

simplify2.6s

prune92.0ms

localize17.0ms

rewrite14.0ms

series107.0ms

simplify2.4s

prune72.0ms

regimes280.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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