Details

sample3.9s

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	241×	body	80	valid
0.0ms	7×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	640	valid

simplify309.0ms

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: 0.0b

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))

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

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

prune35.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0.0b

Counts

23 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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:

20.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
45.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	523	3313
1	1956	3234
2	5002	3164

prune328.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	149	5	154

Merged error: 0.0b

Counts

154 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-div`
30×	`cbrt-prod`
20×	`flip3-+` `flip-+`
16×	`associate-*r/` `frac-add`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 77

Calls

4 calls:

8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
53.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
52.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
54.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	400	1292
1	1320	1221
2	5001	1202

prune362.0ms

Filtered

85 candidates to 89 candidates (-4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

252×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 117

Calls

4 calls:

9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
10.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
22.0ms	(cbrt (* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
54.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
51.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
73.0ms	(cbrt (* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))))

simplify71.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	609	3567
1	1584	3478
2	5002	3457

prune719.0ms

Filtered

104 candidates to 129 candidates (-24.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

regimes172.0ms

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

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 84.411621%

Results

203.0ms	7403×	body	80	valid
24.0ms	188×	body	1280	valid
17.0ms	179×	body	640	valid
8.0ms	112×	body	320	valid
6.0ms	43×	body	2560	valid
4.0ms	75×	body	160	valid
0.0ms	11×	body	80	invalid

Details

sample3.9s

simplify309.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify33.0ms

prune35.0ms

localize10.0ms

rewrite51.0ms

series188.0ms

simplify80.0ms

prune328.0ms

localize18.0ms

rewrite36.0ms

series200.0ms

simplify45.0ms

prune362.0ms

localize24.0ms

rewrite60.0ms

series229.0ms

simplify71.0ms

prune719.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.8s

Profiling