Details

Time bar (total: 3.0s)

analyze324.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
6.0ms239×body80valid
0.0ms5×body640valid
0.0ms3×body1280valid
0.0ms5×body320valid
0.0ms3×body160valid
0.0ms1×body2560valid

simplify303.0ms

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

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity add-log-exp
24×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 53
Calls
3 calls:
14.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
8.0ms
(+ (+ (+ x y) y) x)
5.0ms
(+ (+ x y) y)

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
5.0ms
(+ (+ (+ x y) y) x)
7.0ms
(+ (+ x y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0249320
1929288
25001270

prune57.0ms

Filtered
37 candidates to 62 candidates (-67.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh000
Picked011
Done000
Total59463

Merged error: 0.0b

Counts
63 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×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)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune24.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New15116
Fresh112
Picked011
Done011
Total16420

Merged error: 0.0b

Counts
20 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
12.0ms
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
5.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
4.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
4.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
41.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
44.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
41.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify144.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
03021268
19781183
247781102
350011095

prune246.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96399
Fresh011
Picked011
Done022
Total967103

Merged error: 0.0b

Counts
103 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b
(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
4.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
4.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
4.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
5.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
43.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
41.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))
43.0ms
(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0171676
1463632
21571616
35001604

prune282.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done033
Total64771

Merged error: 0.0b

Counts
71 → 7

regimes265.0ms

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
0135
1135

end0.0ms

analyze310.0ms

Algorithm
search

sample411.0ms

Algorithm
intervals
Results
193.0ms7387×body80valid
21.0ms180×body1280valid
21.0ms194×body640valid
9.0ms131×body320valid
5.0ms33×body2560valid
4.0ms75×body160valid
0.0ms15×body80invalid

Profiling

Loading profile data...