Details

sample63.0ms

Algorithm

intervals

Results

24.0ms	54×	body	1280	valid
11.0ms	40×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	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 3 expressions with local error:

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

rewrite14.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

4.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series36.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- (* x (cos y)) (* z (sin y)))
12.0ms	(* x (cos y))
8.0ms	(* z (sin y))

simplify1.9s

Counts

57 → 57

Iterations

Useful iterations: 3 (172.0ms)

Iter	Nodes	Cost
0	82	464
1	173	436
2	385	420
3	863	402
4	1876	402
done	5001	402

prune98.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	45	12	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	12	58

Merged error: 0.0b

Counts

58 → 12

localize15.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
18.0ms	(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

prune122.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

4.0ms	(* z (sin y))
10.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* z (sin y))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
18.0ms	(cbrt (cos y))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	761
1	294	658
2	900	585
3	3661	523
done	5000	523

prune134.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

8.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
27.0ms	(cbrt (pow (cos y) 2))
21.0ms	(cbrt (cos y))

simplify2.3s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	105	713
1	234	653
2	771	562
3	3406	541
done	5000	541

prune89.0ms

Filtered

48 candidates to 78 candidates (-62.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

regimes328.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample1.8s

Algorithm

intervals

Results

665.0ms	1518×	body	1280	valid
357.0ms	1266×	body	640	valid
290.0ms	4317×	body	80	valid
119.0ms	586×	body	320	valid
42.0ms	313×	body	160	valid

Details

sample63.0ms

simplify6.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series36.0ms

simplify1.9s

prune98.0ms

localize15.0ms

rewrite14.0ms

series84.0ms

simplify3.6s

prune122.0ms

localize15.0ms

rewrite21.0ms

series40.0ms

simplify2.5s

prune134.0ms

localize14.0ms

rewrite16.0ms

series58.0ms

simplify2.3s

prune89.0ms

regimes328.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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