Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	242×	body	80	valid
0.0ms	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

simplify323.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (34.0ms)

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

prune58.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	4	23

Merged error: 0.1b

Counts

23 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* y 2) (+ x z))
9.0ms	(+ (* 2 x) (+ (* y 2) (+ x z)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* y 2) (+ x z))
25.0ms	(+ (* 2 x) (+ (* y 2) (+ x z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	205	203
1	955	188
2	5002	187

prune84.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:

15.0ms	(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))
5.0ms	(cbrt (+ (* y 2) (+ x z)))
5.0ms	(cbrt (+ (* y 2) (+ x z)))
9.0ms	(cbrt (+ (* y 2) (+ x z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt (+ (* y 2) (+ x z))) (cbrt (+ (* y 2) (+ x z))))
481.0ms	(cbrt (+ (* y 2) (+ x z)))
277.0ms	(cbrt (+ (* y 2) (+ x z)))
261.0ms	(cbrt (+ (* y 2) (+ x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	280	1040
1	1072	975
2	5001	917

prune286.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* y 2) (+ x z)))
6.0ms	(cbrt (+ (* y 2) (+ x z)))
6.0ms	(cbrt (+ (* y 2) (+ x z)))
6.0ms	(cbrt (+ (* y 2) (+ x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (+ (* y 2) (+ x z)))
270.0ms	(cbrt (+ (* y 2) (+ x z)))
286.0ms	(cbrt (+ (* y 2) (+ x z)))
266.0ms	(cbrt (+ (* y 2) (+ x z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	157	548
1	435	512
2	1682	500
3	5001	488

prune237.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

regimes83.0ms

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

sample386.0ms

Algorithm

intervals

Results

175.0ms	7405×	body	80	valid
18.0ms	188×	body	1280	valid
14.0ms	180×	body	640	valid
7.0ms	118×	body	320	valid
6.0ms	48×	body	2560	valid
3.0ms	70×	body	160	valid