Details

analyze98.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* y (+ (* x 2.0) y))
6.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune55.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ (* x 2.0) y)) (* x x))
0.0b	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
5.6b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
5.6b	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

7.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
16.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
6.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
6.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
6.0ms	(* (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))))
10.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))
10.0ms	(sqrt (+ (* y (+ (* x 2.0) y)) (* x x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	226	1070
1	1033	984
2	5001	952

prune141.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x x) (* (* x 2.0) y))
6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) (* (* x 2.0) y))
6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify164.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune42.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	237
1	1110	217
2	5001	217

prune41.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	41	4	45

Merged error: 0b

Counts

45 → 4

regimes111.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

analyze94.0ms

Algorithm: search

sample393.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
9.0ms	193×	body	80	invalid

Details

analyze98.0ms

sample15.0ms

simplify8.0ms

prune8.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify39.0ms

prune55.0ms

localize9.0ms

rewrite37.0ms

series34.0ms

simplify47.0ms

prune141.0ms

localize7.0ms

rewrite10.0ms

series12.0ms

simplify164.0ms

prune42.0ms

localize7.0ms

rewrite14.0ms

series12.0ms

simplify39.0ms

prune41.0ms

regimes111.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze94.0ms

sample393.0ms

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