Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	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

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
5.0ms	(* z (sin y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
8.0ms	(* z (sin y))

simplify1.1s

Counts

56 → 56

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	81	454
1	193	426
2	510	392
3	1078	392
4	2488	392
done	5000	392

prune104.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

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))

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))

series87.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
21.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify587.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	65	694
1	129	615
2	392	521
3	1526	499
done	5001	499

prune120.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

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))

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:

5.0ms	(* 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))

series38.0ms

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))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	761
1	303	658
2	996	582
3	4247	535
done	5000	521

prune135.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize15.0ms

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:

9.0ms	(* (* 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))

series62.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* 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 (353.0ms)

Iter	Nodes	Cost
0	105	713
1	243	653
2	848	559
3	3942	539
done	5000	539

prune94.0ms

Filtered

48 candidates to 78 candidates (-62.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

regimes324.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	18	17
done	18	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

673.0ms	1518×	body	1280	valid
503.0ms	4317×	body	80	valid
358.0ms	1266×	body	640	valid
115.0ms	586×	body	320	valid
43.0ms	313×	body	160	valid

Details

sample62.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series35.0ms

simplify1.1s

prune104.0ms

localize13.0ms

rewrite14.0ms

series87.0ms

simplify587.0ms

prune120.0ms

localize16.0ms

rewrite21.0ms

series38.0ms

simplify1.3s

prune135.0ms

localize15.0ms

rewrite17.0ms

series62.0ms

simplify1.2s

prune94.0ms

regimes324.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

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