Details

analyze308.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

sample65.0ms

Algorithm

intervals

Results

29.0ms	61×	body	1280	valid
9.0ms	131×	body	80	valid
8.0ms	28×	body	640	valid
5.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune5.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:

5.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))
5.0ms	(* x (sin y))

series33.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))
9.0ms	(* x (sin y))

simplify79.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5167	396

prune104.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

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))

series83.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5025	459

prune115.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (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	(* (* z (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))

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
26.0ms	(cbrt (pow (cos y) 2))
18.0ms	(cbrt (cos y))

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4905	521
1	4905	521

prune137.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	79	10	89

Merged error: 0.0b

Counts

89 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 61

Calls

4 calls:

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

series77.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (cos y) 2)
29.0ms	(cbrt (pow (cos y) 2))
26.0ms	(cbrt (pow (cos y) 2))
18.0ms	(cbrt (cos y))

simplify63.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5061	395

prune128.0ms

Filtered

47 candidates to 73 candidates (-55.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

regimes249.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	24
1	19	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

771.0ms	1545×	body	1280	valid
379.0ms	1266×	body	640	valid
311.0ms	4219×	body	80	valid
134.0ms	650×	body	320	valid
46.0ms	320×	body	160	valid

Details

analyze308.0ms

sample65.0ms

simplify4.0ms

prune5.0ms

localize11.0ms

rewrite20.0ms

series33.0ms

simplify79.0ms

prune104.0ms

localize15.0ms

rewrite14.0ms

series83.0ms

simplify66.0ms

prune115.0ms

localize17.0ms

rewrite17.0ms

series55.0ms

simplify56.0ms

prune137.0ms

localize20.0ms

rewrite12.0ms

series77.0ms

simplify63.0ms

prune128.0ms

regimes249.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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