Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

311×

body

valid

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	39	3
3	50	3
4	72	3
5	120	3
6	267	3
7	446	3
8	730	3
9	889	3
10	1175	3
11	2720	3
12	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

9.0ms

(- (+ x y) (* x y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (+ x y) (* x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	87
1	309	80
2	1324	80
3	5002	80

prune25.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x y) (* x y)))
0.0b	(- (+ x y) (* x y))
0.0b	(- (+ x y) (* x y))
0.3b	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `diff-log` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `associate-r/` `associate-l/` `associate--l+` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(sqrt (- (+ x y) (* x y)))
5.0ms	(- (+ x y) (* x y))
5.0ms	(- (+ x y) (* x y))
19.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (- (+ x y) (* x y)))
16.0ms	(- (+ x y) (* x y))
17.0ms	(- (+ x y) (* x y))
71.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	748
1	970	677
2	5001	655

prune168.0ms

Filtered

112 candidates to 61 candidates (54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.3b	(* (* x y) (* x y))
7.2b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
29.8b	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
31×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
7×	`flip3-+` `swap-sqr` `flip-+`
6×	`distribute-lft-out` `add-log-exp`
5×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `associate-/l*`
3×	`pow-plus` `associate-/r*`
2×	`pow2` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

8.0ms	(* (+ x y) (+ x y))
6.0ms	(* (* x y) (* x y))
9.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
16.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ x y) (+ x y))
37.0ms	(* (* x y) (* x y))
38.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
67.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	489	1077
1	2721	975
2	5001	970

prune202.0ms

Filtered

137 candidates to 77 candidates (56.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

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	7	3
1	7	3

end0.0ms

sample301.0ms

Algorithm

intervals

Results

162.0ms	9151×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid