Details

analyze343.0ms

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

sample18.0ms

Algorithm

intervals

Results

6.0ms	238×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

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))

rewrite8.0ms

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:

8.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5297	203

prune36.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5336	139

prune33.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

10.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
3.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ x (* (+ x y) 2))) (cbrt (+ x (* (+ x y) 2))))
39.0ms	(cbrt (+ x (* (+ x y) 2)))
36.0ms	(cbrt (+ x (* (+ x y) 2)))
37.0ms	(cbrt (+ x (* (+ x y) 2)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4966	1505
1	4966	1505

prune230.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ x (* (+ x y) 2)))
2.0ms	(cbrt (+ x (* (+ x y) 2)))
3.0ms	(cbrt (cbrt (+ x (* (+ x y) 2))))
5.0ms	(cbrt (pow (cbrt (+ x (* (+ x y) 2))) 2))

series176.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ x (* (+ x y) 2)))
36.0ms	(cbrt (+ x (* (+ x y) 2)))
47.0ms	(cbrt (cbrt (+ x (* (+ x y) 2))))
56.0ms	(cbrt (pow (cbrt (+ x (* (+ x y) 2))) 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	1061
1	4962	1061

prune253.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

regimes192.0ms

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

analyze337.0ms

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

sample420.0ms

Algorithm

intervals

Results

197.0ms	7367×	body	80	valid
26.0ms	194×	body	1280	valid
22.0ms	202×	body	640	valid
9.0ms	122×	body	320	valid
5.0ms	32×	body	2560	valid
4.0ms	83×	body	160	valid
0.0ms	10×	body	80	invalid

Details

analyze343.0ms

sample18.0ms

simplify4.0ms

prune7.0ms

localize6.0ms

rewrite8.0ms

series6.0ms

simplify41.0ms

prune36.0ms

localize6.0ms

rewrite3.0ms

series5.0ms

simplify52.0ms

prune33.0ms

localize10.0ms

rewrite21.0ms

series158.0ms

simplify47.0ms

prune230.0ms

localize20.0ms

rewrite15.0ms

series176.0ms

simplify47.0ms

prune253.0ms

regimes192.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze337.0ms

sample420.0ms

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