Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	242×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify304.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

61.0ms	(+ (+ (+ x y) y) x)
14.0ms	(+ (+ x y) y)
1.0s	(+ (+ (+ (+ (+ x y) y) x) z) x)

series84.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)
23.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify32.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune111.0ms

Pruning

7 alts after pruning (6 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)))

rewrite7.0ms

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)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

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

prune43.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
0.5b	(cbrt (+ (+ x y) y))
0.5b	(cbrt (+ (+ x y) y))
0.5b	(cbrt (+ (+ x y) y))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

74.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
9.0ms	(cbrt (+ (+ x y) y))
12.0ms	(cbrt (+ (+ x y) y))
9.0ms	(cbrt (+ (+ x y) y))

series624.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
143.0ms	(cbrt (+ (+ x y) y))
151.0ms	(cbrt (+ (+ x y) y))
143.0ms	(cbrt (+ (+ x y) y))

simplify329.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	281	989
1	875	938
2	4114	827
3	5003	822

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x y) y))
0.5b	(cbrt (+ (+ x y) y))
0.5b	(cbrt (+ (+ x y) y))
0.5b	(cbrt (+ (+ x y) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`cbrt-prod`
12×	`distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (+ (+ x y) y))
8.0ms	(cbrt (+ (+ x y) y))
9.0ms	(cbrt (+ (+ x y) y))
9.0ms	(cbrt (+ (+ x y) y))

series578.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ (+ x y) y))
144.0ms	(cbrt (+ (+ x y) y))
141.0ms	(cbrt (+ (+ x y) y))
144.0ms	(cbrt (+ (+ x y) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	148	500
1	368	472
2	1359	452
3	5002	452

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

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	13	4
1	13	4

end0.0ms

sample618.0ms

Algorithm

intervals

Results

346.0ms	7405×	body	80	valid
41.0ms	188×	body	1280	valid
30.0ms	180×	body	640	valid
15.0ms	118×	body	320	valid
11.0ms	48×	body	2560	valid
6.0ms	70×	body	160	valid