Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify298.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

9.0ms

(+ (* 2 (+ x y)) (+ x z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify36.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune59.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2) (+ (* y 2) (+ x z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+ (* x 2) (+ (* y 2) (+ x z)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* x 2) (+ (* y 2) (+ x z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	137	126
1	580	112
2	3411	112
3	5002	112

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	111	103
1	430	94
2	2103	94
3	5001	94

prune33.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2) (+ (* y 2) (+ x z)))
0.0b	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
0.0b	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
0.2b	(* (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))) (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(+ (* x 2) (+ (* y 2) (+ x z)))
7.0ms	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
7.0ms	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
21.0ms	(* (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))) (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x 2) (+ (* y 2) (+ x z)))
62.0ms	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
59.0ms	(sqrt (+ (* x 2) (+ (* y 2) (+ x z))))
56.0ms	(* (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))) (sqrt (+ (* x 2) (+ (* y 2) (+ x z)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	1100
1	1345	993
2	5001	967

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample355.0ms

Algorithm

intervals

Results

159.0ms	7440×	body	80	valid
19.0ms	200×	body	1280	valid
13.0ms	176×	body	640	valid
6.0ms	105×	body	320	valid
3.0ms	28×	body	2560	valid
2.0ms	61×	body	160	valid