Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

290×

body

valid

simplify213.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify41.0ms

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ x (- y (* x y)))
3.0ms	(- y (* x y))

series45.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (- y (* x y)))
29.0ms	(- y (* x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	133	142
1	406	134
2	1849	133
3	5001	133

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* x y))
0.0b	(+ x (cbrt (pow (- y (* x y)) 3)))
0.1b	(pow (- y (* x y)) 3)
36.1b	(cbrt (pow (- y (* x y)) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1` `add-exp-log` `distribute-rgt-out--` `add-cbrt-cube`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 77

Calls

4 calls:

3.0ms	(- y (* x y))
7.0ms	(+ x (cbrt (pow (- y (* x y)) 3)))
4.0ms	(pow (- y (* x y)) 3)
4.0ms	(cbrt (pow (- y (* x y)) 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- y (* x y))
27.0ms	(+ x (cbrt (pow (- y (* x y)) 3)))
39.0ms	(pow (- y (* x y)) 3)
40.0ms	(cbrt (pow (- y (* x y)) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	290	460
1	1367	411
2	5001	404

prune137.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (- y (* x y))) (sqrt (- y (* x y)))))
0.0b	(sqrt (- y (* x y)))
0.0b	(sqrt (- y (* x y)))
0.2b	(* (sqrt (- y (* x y))) (sqrt (- y (* x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
20×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`swap-sqr`
8×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `distribute-rgt-out--` `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-r/` `associate-l/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 103

Calls

4 calls:

2.0ms	(+ x (* (sqrt (- y (* x y))) (sqrt (- y (* x y)))))
3.0ms	(sqrt (- y (* x y)))
2.0ms	(sqrt (- y (* x y)))
9.0ms	(* (sqrt (- y (* x y))) (sqrt (- y (* x y))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (* (sqrt (- y (* x y))) (sqrt (- y (* x y)))))
47.0ms	(sqrt (- y (* x y)))
43.0ms	(sqrt (- y (* x y)))
74.0ms	(* (sqrt (- y (* x y))) (sqrt (- y (* x y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	290	715
1	1262	622
2	5001	607

prune177.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample293.0ms

Algorithm

intervals

Results

155.0ms	9135×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid