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

simplify8.0ms

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

prune9.0ms

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))

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))

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

simplify545.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	63	349
1	167	330
2	492	304
3	1522	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:

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

series92.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
23.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))

simplify586.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	65	694
1	129	615
2	392	521
3	1528	499
done	5001	499

prune93.0ms

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)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
25.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (* z (cos y)))
28.0ms	(cbrt (* z (cos y)))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (468.0ms)

Iter	Nodes	Cost
0	85	786
1	186	705
2	513	605
3	1646	510
4	4702	474
done	5000	474

prune95.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

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)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* z (cos y))) (cbrt z))
25.0ms	(cbrt z)
26.0ms	(cbrt (* z (cos y)))
28.0ms	(cbrt (* z (cos y)))

simplify964.0ms

Counts

65 → 65

Iterations

Useful iterations: 4 (424.0ms)

Iter	Nodes	Cost
0	97	614
1	198	596
2	525	529
3	1342	476
4	3852	450
done	5000	450

prune75.0ms

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	1	3	4
Picked	0	1	1
Done	0	3	3
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

regimes288.0ms

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

421.0ms	992×	body	1280	valid
356.0ms	5569×	body	80	valid
233.0ms	845×	body	640	valid
82.0ms	378×	body	320	valid
30.0ms	216×	body	160	valid

Details

sample52.0ms

simplify8.0ms

prune9.0ms

localize9.0ms

rewrite12.0ms

series20.0ms

simplify545.0ms

prune57.0ms

localize13.0ms

rewrite13.0ms

series92.0ms

simplify586.0ms

prune93.0ms

localize13.0ms

rewrite16.0ms

series115.0ms

simplify1.3s

prune95.0ms

localize17.0ms

rewrite14.0ms

series108.0ms

simplify964.0ms

prune75.0ms

regimes288.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling