Details

sample654.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

9.0ms	231×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	5×	body	160	valid

simplify305.0ms

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

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))

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (29.0ms)

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

prune39.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 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)))

rewrite55.0ms

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
40.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (49.0ms)

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

prune324.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	148	7	155

Merged error: 0.0b

Counts

155 → 7

localize16.0ms

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
10×	`cbrt-prod`
7×	`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 → 108

Calls

4 calls:

9.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
40.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
70.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	577	3149
1	1531	3091
2	5002	3050

prune439.0ms

Filtered

95 candidates to 120 candidates (-26.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

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)))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.9b	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

144×	`cbrt-div`
80×	`flip3-+` `flip-+`
70×	`associate-*r/`
64×	`frac-add`
36×	`frac-times`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`associate-*l/`
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 → 115

Calls

4 calls:

7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
19.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
11.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

series272.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
65.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
123.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

simplify80.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	719	3179
1	2141	3102
2	5001	3086

prune394.0ms

Filtered

93 candidates to 127 candidates (-36.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

regimes209.0ms

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

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

199.0ms	7377×	body	80	valid
27.0ms	180×	body	1280	valid
18.0ms	197×	body	640	valid
8.0ms	120×	body	320	valid
6.0ms	41×	body	2560	valid
4.0ms	85×	body	160	valid
0.0ms	10×	body	80	invalid

Details

sample654.0ms

simplify305.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify33.0ms

prune39.0ms

localize10.0ms

rewrite55.0ms

series182.0ms

simplify77.0ms

prune324.0ms

localize16.0ms

rewrite53.0ms

series195.0ms

simplify68.0ms

prune439.0ms

localize17.0ms

rewrite53.0ms

series272.0ms

simplify80.0ms

prune394.0ms

regimes209.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling