Details

analyze321.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* (+ x y) 2) z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (+ (* (+ x y) 2) z))

simplify43.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5297	203

prune34.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (+ x y) 2))
0.0b	(+ (+ x (* (+ x y) 2)) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ x (* (+ x y) 2))
5.0ms	(+ (+ x (* (+ x y) 2)) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ x (* (+ x y) 2))
6.0ms	(+ (+ x (* (+ x y) 2)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5258	347

prune40.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
33.0ms	(cbrt (+ x (* (+ x y) 2)))
31.0ms	(cbrt (+ x (* (+ x y) 2)))
34.0ms	(cbrt (+ x (* (+ x y) 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4966	1505
1	4966	1505

prune213.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (+ x (* (+ x y) 2)))
0.6b	(cbrt (pow (cbrt (+ x (* (+ x y) 2))) 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`unpow2` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
4.0ms	(cbrt (pow (cbrt (+ x (* (+ x y) 2))) 2))

series148.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x (* (+ x y) 2)))
32.0ms	(cbrt (+ x (* (+ x y) 2)))
31.0ms	(cbrt (+ x (* (+ x y) 2)))
54.0ms	(cbrt (pow (cbrt (+ x (* (+ x y) 2))) 2))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5407	958

prune221.0ms

Filtered

63 candidates to 70 candidates (-11.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

regimes175.0ms

Accuracy

0% (0.0b 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	12	9
1	12	9

end0.0ms

analyze321.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample426.0ms

Algorithm

intervals

Results

206.0ms	7371×	body	80	valid
23.0ms	195×	body	1280	valid
20.0ms	206×	body	640	valid
8.0ms	115×	body	320	valid
6.0ms	39×	body	2560	valid
4.0ms	74×	body	160	valid
0.0ms	9×	body	80	invalid

Details

analyze321.0ms

sample17.0ms

simplify4.0ms

prune7.0ms

localize6.0ms

rewrite7.0ms

series6.0ms

simplify43.0ms

prune34.0ms

localize6.0ms

rewrite8.0ms

series11.0ms

simplify49.0ms

prune40.0ms

localize11.0ms

rewrite18.0ms

series136.0ms

simplify46.0ms

prune213.0ms

localize17.0ms

rewrite13.0ms

series148.0ms

simplify41.0ms

prune221.0ms

regimes175.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze321.0ms

sample426.0ms

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