Details

sample62.0ms

Algorithm

intervals

Results

22.0ms	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

simplify5.0ms

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

localize14.0ms

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))
5.0ms	(* z (sin y))

series32.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
8.0ms	(* z (sin y))

simplify863.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	82	464
1	183	436
2	467	402
3	1006	402
4	2262	402
done	5000	402

prune104.0ms

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

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))

series90.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify570.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (125.0ms)

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

prune126.0ms

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

localize16.0ms

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))

rewrite24.0ms

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:

7.0ms	(* 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))

series39.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* z (sin y))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
20.0ms	(cbrt (cos y))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	126	761
1	303	658
2	996	582
3	4266	535
done	5000	521

prune145.0ms

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))

rewrite17.0ms

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)
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
29.0ms	(cbrt (pow (cos y) 2))
19.0ms	(cbrt (cos y))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (351.0ms)

Iter	Nodes	Cost
0	105	713
1	243	653
2	848	559
3	3915	539
done	5000	539

prune91.0ms

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

regimes342.0ms

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

sample1.9s

Algorithm

intervals

Results

653.0ms	1518×	body	1280	valid
351.0ms	1266×	body	640	valid
319.0ms	4317×	body	80	valid
122.0ms	586×	body	320	valid
43.0ms	313×	body	160	valid

Details

sample62.0ms

simplify5.0ms

prune4.0ms

localize14.0ms

rewrite14.0ms

series32.0ms

simplify863.0ms

prune104.0ms

localize13.0ms

rewrite13.0ms

series90.0ms

simplify570.0ms

prune126.0ms

localize16.0ms

rewrite24.0ms

series39.0ms

simplify1.2s

prune145.0ms

localize14.0ms

rewrite17.0ms

series59.0ms

simplify1.2s

prune91.0ms

regimes342.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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