Details

analyze66.0ms

Algorithm: search

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

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	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* 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+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify130.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune36.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

33 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(+ (* x 2.0) (* x x))
5.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
5.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
16.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	275	955
1	1336	831
2	5001	811

prune125.0ms

Filtered

62 candidates to 107 candidates (-72.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.3b	(* (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3) (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))))
0.6b	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
28×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-log-exp`
10×	`add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`pow1` `cube-div`
7×	`add-cbrt-cube`
6×	`sum-log`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `sqrt-pow1`
3×	`pow-unpow` `prod-exp`
2×	`+-commutative` `cube-mult` `pow-to-exp` `associate-+l+` `pow1/2` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 147

Calls

4 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
5.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
19.0ms	(* (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3) (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))))
8.0ms	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
6.0ms	(* (pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3) (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))))
34.0ms	(pow (sqrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))) 3)

simplify81.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	512	2253
1	2423	1964
2	5001	1707

prune214.0ms

Filtered

79 candidates to 159 candidates (-101.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Merged error: 0b

Counts

162 → 3

regimes180.0ms

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	11	5
1	11	5

end0.0ms

analyze84.0ms

Algorithm: search

sample345.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze66.0ms

sample13.0ms

simplify6.0ms

prune8.0ms

localize6.0ms

rewrite10.0ms

series13.0ms

simplify130.0ms

prune36.0ms

localize9.0ms

rewrite33.0ms

series22.0ms

simplify48.0ms

prune125.0ms

localize12.0ms

rewrite43.0ms

series52.0ms

simplify81.0ms

prune214.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze84.0ms

sample345.0ms

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