Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify298.0ms

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))

rewrite8.0ms

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

prune43.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

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

rewrite53.0ms

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:

7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
59.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify80.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (51.0ms)

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

prune336.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	147	9	156

Merged error: 0.0b

Counts

156 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

306×	`cbrt-div`
215×	`flip3-+` `flip-+`
190×	`associate-*r/`
172×	`frac-add`
108×	`frac-times`
37×	`add-sqr-sqrt`
36×	`cbrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1` `associate-*l/`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 250

Calls

4 calls:

10.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
20.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
20.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
56.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
54.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
71.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	676	7623
1	2218	7495
2	5001	7369

prune808.0ms

Filtered

167 candidates to 262 candidates (-56.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	262	9	271

Merged error: 0.0b

Counts

271 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

432×	`cbrt-div`
280×	`flip3-+` `flip-+`
248×	`associate-*r/`
224×	`frac-add`
144×	`frac-times`
36×	`add-sqr-sqrt`
34×	`cbrt-prod`
24×	`associate-*l/`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 290

Calls

4 calls:

21.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
21.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
55.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
67.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
74.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify132.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	628	9696
1	2094	9554
2	5002	9428

prune1.4s

Filtered

188 candidates to 302 candidates (-60.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	302	9	311

Merged error: 0.0b

Counts

311 → 9

regimes230.0ms

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

sample538.0ms

Algorithm

intervals

Results

203.0ms	7436×	body	80	valid
21.0ms	175×	body	1280	valid
16.0ms	171×	body	640	valid
9.0ms	127×	body	320	valid
5.0ms	32×	body	2560	valid
4.0ms	70×	body	160	valid

Details

sample20.0ms

simplify298.0ms

prune7.0ms

localize6.0ms

rewrite8.0ms

series6.0ms

simplify33.0ms

prune43.0ms

localize10.0ms

rewrite53.0ms

series187.0ms

simplify80.0ms

prune336.0ms

localize17.0ms

rewrite92.0ms

series224.0ms

simplify119.0ms

prune808.0ms

localize21.0ms

rewrite113.0ms

series251.0ms

simplify132.0ms

prune1.4s

regimes230.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample538.0ms

Profiling