Details

sample680.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 84.411621%

Results

6.0ms	239×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify303.0ms

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

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

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 (31.0ms)

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

prune50.0ms

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	1	0	1
Picked	1	0	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`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 → 14

Calls

1 calls:

8.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	135	128
1	571	113
2	3374	112
3	5001	112

prune35.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite5.0ms

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:

5.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

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

prune32.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
10.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
60.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	523	3313
1	1964	3234
2	5002	3164

prune311.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	149	8	157

Merged error: 0.0b

Counts

157 → 8

regimes206.0ms

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

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 84.411621%

Results

209.0ms	7396×	body	80	valid
23.0ms	196×	body	1280	valid
16.0ms	170×	body	640	valid
10.0ms	138×	body	320	valid
5.0ms	34×	body	2560	valid
3.0ms	66×	body	160	valid
0.0ms	9×	body	80	invalid

Details

sample680.0ms

simplify303.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify34.0ms

prune50.0ms

localize10.0ms

rewrite9.0ms

series6.0ms

simplify83.0ms

prune35.0ms

localize6.0ms

rewrite5.0ms

series6.0ms

simplify59.0ms

prune32.0ms

localize10.0ms

rewrite57.0ms

series186.0ms

simplify78.0ms

prune311.0ms

regimes206.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling