Details

analyze199.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample19.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

simplify59.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4822	336
1	4822	336

prune68.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0b

Counts

49 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
7.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series83.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (log (cbrt y)))
22.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
20.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4838	592
1	4838	592

prune93.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* (log (pow y 1/3)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
7.0ms	(+ (* x (* (log (pow y 1/3)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
27.0ms	(+ (* x (* (log (pow y 1/3)) 2)) (* x (log (cbrt y))))
20.0ms	(cbrt y)
19.0ms	(pow y 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4852	583
1	4852	583

prune104.0ms

Filtered

61 candidates to 97 candidates (-59.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* x (log y)))
0.2b	(* (sqrt (* x (log y))) (sqrt (* x (log y))))
0.2b	(* x (log y))
0.2b	(* x (log y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod` `associate-r`
11×	`pow1/2`
10×	`add-exp-log` `associate-l` `pow-prod-up` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
5×	`sqrt-prod`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`log-pow`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 110

Calls

4 calls:

2.0ms	(sqrt (* x (log y)))
8.0ms	(* (sqrt (* x (log y))) (sqrt (* x (log y))))
4.0ms	(* x (log y))
4.0ms	(* x (log y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (* x (log y)))
14.0ms	(* (sqrt (* x (log y))) (sqrt (* x (log y))))
7.0ms	(* x (log y))
7.0ms	(* x (log y))

simplify32.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5307	1154

prune109.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

end0.0ms

analyze188.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample458.0ms

Algorithm

intervals

Results

298.0ms	7998×	body	80	valid
1.0ms	36×	body	80	invalid
1.0ms	40×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze199.0ms

sample19.0ms

simplify3.0ms

prune7.0ms

localize7.0ms

rewrite9.0ms

series19.0ms

simplify59.0ms

prune68.0ms

localize13.0ms

rewrite16.0ms

series83.0ms

simplify65.0ms

prune93.0ms

localize20.0ms

rewrite17.0ms

series86.0ms

simplify59.0ms

prune104.0ms

localize9.0ms

rewrite21.0ms

series42.0ms

simplify32.0ms

prune109.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze188.0ms

sample458.0ms

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