Details

analyze316.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	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

prune6.0ms

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

localize8.0ms

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 (29.0ms)

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

prune32.0ms

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

localize12.0ms

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))))

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:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
43.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
59.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	523	3313
1	1964	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	0	1	1
Picked	0	1	1
Done	0	1	1
Total	148	6	154

Merged error: 0.0b

Counts

154 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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:

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

series226.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
59.0ms	(* (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))))
71.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify124.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (56.0ms)

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

prune883.0ms

Filtered

167 candidates to 262 candidates (-56.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	260	2	262
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	261	7	268

Merged error: 0b

Counts

268 → 7

localize21.0ms

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

15342×	`cbrt-div`
7070×	`flip3-+` `flip-+`
6310×	`associate-*r/`
5940×	`frac-times`
5656×	`frac-add`
696×	`associate-*l/`
36×	`add-sqr-sqrt`
34×	`cbrt-prod`
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 → 2642

Calls

4 calls:

21.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
31.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
189.0ms	(cbrt (* (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))))
21.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (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))))
69.0ms	(cbrt (* (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))))
73.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify2.3s

Algorithm

egg-herbie

Counts

2654 → 2654

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	9576	229650

prune1.4min

Filtered

2633 candidates to 2654 candidates (-0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	2654	0	2654
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	2654	7	2661

Merged error: 0b

Counts

2661 → 7

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

analyze314.0ms

Algorithm: search

sample393.0ms

Algorithm

intervals

Results

190.0ms	7471×	body	80	valid
19.0ms	179×	body	640	valid
18.0ms	154×	body	1280	valid
9.0ms	126×	body	320	valid
5.0ms	19×	body	2560	valid
2.0ms	51×	body	160	valid
0.0ms	6×	body	80	invalid

Details

analyze316.0ms

sample16.0ms

simplify311.0ms

prune6.0ms

localize8.0ms

rewrite8.0ms

series6.0ms

simplify33.0ms

prune32.0ms

localize12.0ms

rewrite51.0ms

series185.0ms

simplify83.0ms

prune329.0ms

localize18.0ms

rewrite95.0ms

series226.0ms

simplify124.0ms

prune883.0ms

localize21.0ms

rewrite1.1s

series254.0ms

simplify2.3s

prune1.4min

regimes209.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze314.0ms

sample393.0ms

Profiling