Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms236×body80valid
1.0msbody640valid
1.0msbody1280valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify318.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239074
1350014

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x y) y) x)
0.0b
(+ (+ x y) y)
0.0b
(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity add-log-exp
24×sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 53
Calls
3 calls:
8.0ms
(+ (+ (+ x y) y) x)
6.0ms
(+ (+ x y) y)
15.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)

series77.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (+ (+ x y) y) x)
23.0ms
(+ (+ x y) y)
25.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify30.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0249320
1929288
25001270

prune85.0ms

Filtered
62 candidates to 37 candidates (59.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh011
Picked101
Done000
Total58664

Merged error: 0.0b

Counts
64 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
5.0ms
(+ (* 3 x) (+ z (* 2 y)))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune33.0ms

Filtered
16 candidates to 11 candidates (68.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh145
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
flip3-+ flip-+
associate-*r/ frac-add
sum-log
associate-+l+
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))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify33.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0275199
11174190
25001185

prune47.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21122
Fresh134
Picked011
Done011
Total22628

Merged error: 0.0b

Counts
28 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
78×distribute-lft-out
70×cbrt-prod
23×add-sqr-sqrt
21×swap-sqr
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 associate-*r* associate-*l* flip-+
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
20.0ms
(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
7.0ms
(cbrt (+ (+ (+ x y) y) x))
10.0ms
(cbrt (+ (+ (+ x y) y) x))
7.0ms
(cbrt (+ (+ (+ x y) y) x))

series870.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
206.0ms
(cbrt (+ (+ (+ x y) y) x))
211.0ms
(cbrt (+ (+ (+ x y) y) x))
208.0ms
(cbrt (+ (+ (+ x y) y) x))

simplify47.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03041356
110201291
250021100

prune234.0ms

Filtered
129 candidates to 78 candidates (60.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh033
Picked011
Done022
Total1287135

Merged error: 0.0b

Counts
135 → 7

regimes76.0ms

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)

IterNodesCost
0134
1134

end0.0ms

sample410.0ms

Algorithm
intervals
Results
198.0ms7424×body80valid
22.0ms190×body1280valid
15.0ms166×body640valid
9.0ms123×body320valid
5.0ms36×body2560valid
3.0ms68×body160valid

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