Details

sample959.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.397461%

Results

6.0ms	237×	body	80	valid
1.0ms	8×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	5×	body	160	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid

simplify301.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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	3907	4
13	5001	4

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))

rewrite9.0ms

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:

8.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

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

prune46.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

6.0ms	(+ (* 2 (+ x y)) x)
8.0ms	(+ (+ (* 2 (+ x y)) x) z)

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify72.0ms

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

prune48.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

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))

rewrite35.0ms

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 (+ (* 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))

series135.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
32.0ms	(cbrt (+ (* 2 (+ x y)) x))
31.0ms	(cbrt (+ (* 2 (+ x y)) x))
33.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

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

prune214.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize16.0ms

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 (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
0.9b	(pow (cbrt (cbrt (+ (* 2 (+ x y)) x))) 4)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
13.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
9.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) x))) 4)

series188.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (* 2 (+ x y)) x))
34.0ms	(cbrt (+ (* 2 (+ x y)) x))
48.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
74.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) x))) 4)

simplify48.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	442	951
1	1348	886
2	5001	860

prune261.0ms

Filtered

63 candidates to 79 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

regimes192.0ms

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

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.397461%

Results

197.0ms	7403×	body	80	valid
21.0ms	186×	body	1280	valid
16.0ms	178×	body	640	valid
8.0ms	110×	body	320	valid
7.0ms	54×	body	2560	valid
3.0ms	69×	body	160	valid
0.0ms	7×	body	80	invalid

Details

sample959.0ms

simplify301.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify34.0ms

prune46.0ms

localize6.0ms

rewrite15.0ms

series10.0ms

simplify72.0ms

prune48.0ms

localize10.0ms

rewrite35.0ms

series135.0ms

simplify42.0ms

prune214.0ms

localize16.0ms

rewrite36.0ms

series188.0ms

simplify48.0ms

prune261.0ms

regimes192.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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