Details

analyze104.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune7.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

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

prune47.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms	(+ (* x x) (* (* x 2.0) y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify155.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (28.0ms)

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

prune38.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

9.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
6.0ms	(* x (+ (* 2.0 y) x))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (7.0ms)

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

prune47.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x))) (* y y))
0.1b	(* (sqrt x) (+ (* 2.0 y) x))
0.2b	(* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

10.0ms	(+ (* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x))) (* y y))
7.0ms	(* (sqrt x) (+ (* 2.0 y) x))
10.0ms	(* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x))) (* y y))
9.0ms	(* (sqrt x) (+ (* 2.0 y) x))
8.0ms	(* (sqrt x) (* (sqrt x) (+ (* 2.0 y) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	404	543
1	1910	462
2	5002	462

prune76.0ms

Filtered

55 candidates to 77 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Merged error: 0b

Counts

80 → 3

regimes67.0ms

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

analyze96.0ms

Algorithm: search

sample399.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
6.0ms	181×	body	80	invalid

Details

analyze104.0ms

sample15.0ms

simplify6.0ms

prune7.0ms

localize7.0ms

rewrite13.0ms

series11.0ms

simplify36.0ms

prune47.0ms

localize8.0ms

rewrite9.0ms

series14.0ms

simplify155.0ms

prune38.0ms

localize6.0ms

rewrite15.0ms

series11.0ms

simplify36.0ms

prune47.0ms

localize10.0ms

rewrite28.0ms

series29.0ms

simplify57.0ms

prune76.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze96.0ms

sample399.0ms

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