Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
0.0ms	7×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify299.0ms

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

prune5.0ms

Pruning

2 alts after pruning (2 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))

rewrite27.0ms

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:

26.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

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

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

15.0ms	(+ (* 2 (+ x y)) x)
79.0ms	(+ (+ (* 2 (+ x y)) x) z)

series52.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* 2 (+ x y)) x)
23.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune66.0ms

Pruning

6 alts after pruning (4 fresh and 2 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))

rewrite148.0ms

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:

106.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
12.0ms	(cbrt (+ (* 2 (+ x y)) x))
15.0ms	(cbrt (+ (* 2 (+ x y)) x))
13.0ms	(cbrt (+ (* 2 (+ x y)) x))

series888.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
211.0ms	(cbrt (+ (* 2 (+ x y)) x))
211.0ms	(cbrt (+ (* 2 (+ x y)) x))
211.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune315.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

13.0ms	(cbrt (+ (* 2 (+ x y)) x))
12.0ms	(cbrt (+ (* 2 (+ x y)) x))
12.0ms	(cbrt (+ (* 2 (+ x y)) x))
40.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

series973.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (+ (* 2 (+ x y)) x))
208.0ms	(cbrt (+ (* 2 (+ x y)) x))
208.0ms	(cbrt (+ (* 2 (+ x y)) x))
339.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	291	831
1	744	783
2	2956	760
3	5001	747

prune288.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

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

sample424.0ms

Algorithm

intervals

Results

149.0ms	7414×	body	80	valid
19.0ms	181×	body	1280	valid
13.0ms	188×	body	640	valid
7.0ms	136×	body	320	valid
3.0ms	75×	body	160	valid
2.0ms	21×	body	2560	valid