Details

sample1.0s

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	235×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	320	valid

simplify311.0ms

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	3907	4
13	5001	4

prune7.0ms

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))

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (29.0ms)

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

prune41.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

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: 0.0b

Counts

23 → 4

localize7.0ms

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)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (17.0ms)

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

prune30.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Merged error: 0.0b

Counts

21 → 4

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)))

rewrite56.0ms

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:

23.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
47.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (48.0ms)

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

prune329.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Merged error: 0.0b

Counts

155 → 6

localize17.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
10.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

series244.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
51.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
105.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	527	1172
1	1893	1112
2	5003	1093

prune277.0ms

Filtered

74 candidates to 90 candidates (-21.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

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

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.397461%

Results

202.0ms	7366×	body	80	valid
31.0ms	216×	body	1280	valid
16.0ms	166×	body	640	valid
9.0ms	133×	body	320	valid
5.0ms	39×	body	2560	valid
4.0ms	80×	body	160	valid
0.0ms	5×	body	80	invalid

Details

sample1.0s

simplify311.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify35.0ms

prune41.0ms

localize7.0ms

rewrite9.0ms

series7.0ms

simplify81.0ms

prune30.0ms

localize10.0ms

rewrite56.0ms

series191.0ms

simplify77.0ms

prune329.0ms

localize17.0ms

rewrite39.0ms

series244.0ms

simplify57.0ms

prune277.0ms

regimes206.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling