Details

analyze516.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

7.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5080	204

prune30.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
6.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
42.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
44.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4832	1834
1	4832	1834

prune204.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
18×	`*-un-lft-identity`
12×	`cbrt-div`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 62

Calls

4 calls:

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
43.0ms	(cbrt (+ x (+ (* (+ x y) 2) z)))
50.0ms	(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))
55.0ms	(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

simplify28.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5036	1188

prune231.0ms

Filtered

60 candidates to 74 candidates (-23.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

192×	`cbrt-prod`
77×	`add-sqr-sqrt` `unpow-prod-down`
49×	`*-un-lft-identity`
36×	`unswap-sqr`
29×	`add-cube-cbrt`
19×	`unpow2` `sqr-pow`
17×	`swap-sqr`
15×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `distribute-lft-out`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

27.0ms	(* (cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2)) (cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2)))
8.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
8.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
8.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))

series285.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2)) (cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2)))
68.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
71.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
66.0ms	(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))

simplify85.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5064	4251

prune532.0ms

Filtered

109 candidates to 173 candidates (-58.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	172	7	179

Merged error: 0.0b

Counts

179 → 7

regimes203.0ms

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	9
1	12	9

end0.0ms

sample428.0ms

Algorithm

intervals

Results

211.0ms	7377×	body	80	valid
22.0ms	180×	body	1280	valid
20.0ms	202×	body	640	valid
8.0ms	110×	body	320	valid
7.0ms	46×	body	2560	valid
4.0ms	85×	body	160	valid
0.0ms	11×	body	80	invalid

Details

analyze516.0ms

sample16.0ms

simplify4.0ms

prune7.0ms

localize6.0ms

rewrite7.0ms

series6.0ms

simplify37.0ms

prune30.0ms

localize10.0ms

rewrite39.0ms

series185.0ms

simplify75.0ms

prune204.0ms

localize17.0ms

rewrite29.0ms

series189.0ms

simplify28.0ms

prune231.0ms

localize15.0ms

rewrite59.0ms

series285.0ms

simplify85.0ms

prune532.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample428.0ms

Profiling