Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	230×	body	80	valid
2.0ms	12×	body	640	valid
2.0ms	8×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify306.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

12.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (34.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	95	81
1	337	74
2	1582	73
3	5001	73

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
0.6b	(cbrt (+ (* 2 (+ x y)) x))
0.6b	(cbrt (+ (* 2 (+ x y)) x))
0.6b	(cbrt (+ (* 2 (+ x y)) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

51.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))

series893.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
212.0ms	(cbrt (+ (* 2 (+ x y)) x))
212.0ms	(cbrt (+ (* 2 (+ x y)) x))
212.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	310	1085
1	1083	1020
2	5001	949

prune296.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 2 (+ x y)) x))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
17.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
16.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
16.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (+ (* 2 (+ x y)) x))
347.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
351.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
345.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

simplify80.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	291	1309
1	744	1237
2	2956	1216
3	5001	1201

prune293.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

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	12	4
1	12	4

end0.0ms

sample628.0ms

Algorithm

intervals

Results

355.0ms	7410×	body	80	valid
37.0ms	170×	body	1280	valid
34.0ms	199×	body	640	valid
20.0ms	131×	body	320	valid
13.0ms	41×	body	2560	valid
5.0ms	56×	body	160	valid