Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	172×	body	80	valid
15.0ms	36×	body	1280	valid
8.0ms	29×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	33	9
4	39	9
5	48	9
6	61	9
7	74	9
8	87	9
9	101	9
10	122	9
11	136	9
done	136	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 (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite13.0ms

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`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

7.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(* z (sin y))

series21.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (+ x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))

simplify2.2s

Counts

38 → 38

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	69	365
1	155	346
2	430	320
3	1406	320
4	4957	320
done	5000	320

prune59.0ms

Filtered

27 candidates to 38 candidates (-40.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin 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 (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
26.0ms	(cbrt (* z (sin y)))
25.0ms	(cbrt (* z (sin y)))
29.0ms	(cbrt (* z (sin y)))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	90	814
1	196	733
2	513	637
3	1547	562
4	4985	495
done	5000	495

prune99.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
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)
0.6b	(cbrt (sin y))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt z)
24.0ms	(cbrt (sin y))
25.0ms	(cbrt (* z (sin y)))
25.0ms	(cbrt (* z (sin y)))

simplify2.9s

Counts

52 → 52

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	86	429
1	166	412
2	356	357
3	1078	304
4	4957	284
done	5000	284

prune84.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize13.0ms

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))

series87.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms	(cbrt (sin y))
23.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (467.0ms)

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

prune82.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

regimes266.0ms

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	10	9
done	10	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

430.0ms	997×	body	1280	valid
350.0ms	5571×	body	80	valid
232.0ms	839×	body	640	valid
77.0ms	380×	body	320	valid
29.0ms	213×	body	160	valid

Details

sample57.0ms

simplify108.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series21.0ms

simplify2.2s

prune59.0ms

localize13.0ms

rewrite16.0ms

series115.0ms

simplify2.3s

prune99.0ms

localize17.0ms

rewrite9.0ms

series97.0ms

simplify2.9s

prune84.0ms

localize13.0ms

rewrite14.0ms

series87.0ms

simplify1.5s

prune82.0ms

regimes266.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling