Details

analyze72.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune2.0ms

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: 4.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.1b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* x (+ 1.0 (* y y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4946	206
1	4946	206

prune49.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 4.2b

Counts

26 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
7.4b	(* x (* y y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
6.0ms	(* x (* y y))

simplify51.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4907	269
1	4907	269

prune51.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x y) y))
4.0ms	(* (* x y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
7.0ms	(* (* x y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5388	256

prune44.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.4b	(* x (* y (* (cbrt y) (cbrt y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* x (* y (* (cbrt y) (cbrt y))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
20.0ms	(cbrt y)
21.0ms	(cbrt y)
20.0ms	(* x (* y (* (cbrt y) (cbrt y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4928	300
1	4928	300

prune61.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

regimes273.0ms

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	11	9
1	11	9

end0.0ms

analyze71.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample294.0ms

Algorithm

intervals

Results

178.0ms	8000×	body	80	valid
4.0ms	183×	body	80	invalid

Details

analyze72.0ms

sample12.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series9.0ms

simplify47.0ms

prune49.0ms

localize5.0ms

rewrite9.0ms

series16.0ms

simplify51.0ms

prune51.0ms

localize5.0ms

rewrite8.0ms

series17.0ms

simplify40.0ms

prune44.0ms

localize10.0ms

rewrite15.0ms

series83.0ms

simplify51.0ms

prune61.0ms

regimes273.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze71.0ms

sample294.0ms

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