Details

analyze68.0ms

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%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- x y))
0.0b	(* 2.0 (* x (- x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

6.0ms	(* x (- x y))
7.0ms	(* 2.0 (* x (- x y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* x (- x y))
6.0ms	(* 2.0 (* x (- x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5386	399

prune55.0ms

Filtered

31 candidates to 54 candidates (-74.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0b

Counts

55 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* 2.0 x) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* 2.0 x) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5292	220

prune27.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* x (- x y)))
0.3b	(* (sqrt (* 2.0 (* x (- x y)))) (sqrt (* 2.0 (* x (- x y)))))
6.9b	(sqrt (* 2.0 (* x (- x y))))
6.9b	(sqrt (* 2.0 (* x (- x y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
38×	`associate-*r/`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

9.0ms	(* 2.0 (* x (- x y)))
17.0ms	(* (sqrt (* 2.0 (* x (- x y)))) (sqrt (* 2.0 (* x (- x y)))))
6.0ms	(sqrt (* 2.0 (* x (- x y))))
6.0ms	(sqrt (* 2.0 (* x (- x y))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* 2.0 (* x (- x y)))
13.0ms	(* (sqrt (* 2.0 (* x (- x y)))) (sqrt (* 2.0 (* x (- x y)))))
17.0ms	(sqrt (* 2.0 (* x (- x y))))
17.0ms	(sqrt (* 2.0 (* x (- x y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4989	1130
1	4989	1130

prune133.0ms

Filtered

68 candidates to 138 candidates (-102.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Merged error: 0b

Counts

140 → 2

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	7
1	43	7

end0.0ms

sample367.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
4.0ms	159×	body	80	invalid

Details

analyze68.0ms

sample15.0ms

simplify16.0ms

prune7.0ms

localize5.0ms

rewrite15.0ms

series11.0ms

simplify38.0ms

prune55.0ms

localize5.0ms

rewrite8.0ms

series8.0ms

simplify46.0ms

prune27.0ms

localize7.0ms

rewrite45.0ms

series53.0ms

simplify59.0ms

prune133.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample367.0ms

Profiling