Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms238×body80valid
0.0ms5×body640valid
0.0ms4×body1280valid
0.0ms6×body320valid
0.0ms2×body2560valid
0.0ms1×body160valid

simplify310.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(+ (* 2 (+ x y)) (+ x z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify36.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0275199
11174190
25001185

prune56.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New16622
Fresh000
Picked101
Done000
Total17623

Merged error: 0.0b

Counts
23 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
3×associate-+l+
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×distribute-rgt-in distribute-lft-in distribute-lft-out
Counts
2 → 27
Calls
2 calls:
9.0ms
(+ (+ (* 2 (+ x y)) x) z)
6.0ms
(+ (* 2 (+ x y)) x)

series55.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (+ (* 2 (+ x y)) x) z)
30.0ms
(+ (* 2 (+ x y)) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0165183
1588174
22960170
35001170

prune55.0ms

Filtered
33 candidates to 23 candidates (69.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh325
Picked011
Done000
Total33639

Merged error: 0.0b

Counts
39 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:
15.0ms
(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
6.0ms
(cbrt (+ (* 2 (+ x y)) x))
6.0ms
(cbrt (+ (* 2 (+ x y)) x))
6.0ms
(cbrt (+ (* 2 (+ x y)) x))

series920.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
223.0ms
(cbrt (+ (* 2 (+ x y)) x))
218.0ms
(cbrt (+ (* 2 (+ x y)) x))
216.0ms
(cbrt (+ (* 2 (+ x y)) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03101085
110831020
25001949

prune251.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh044
Picked011
Done011
Total978105

Merged error: 0.0b

Counts
105 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+ unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
17.0ms
(* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x))))
6.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
6.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
6.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x))))
293.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
282.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
284.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03491647
111701568
250011461

prune351.0ms

Filtered
122 candidates to 90 candidates (73.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done022
Total1228130

Merged error: 0.0b

Counts
130 → 8

regimes92.0ms

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 (1.0ms)

IterNodesCost
0124
1124

end0.0ms

sample396.0ms

Algorithm
intervals
Results
189.0ms7449×body80valid
20.0ms180×body1280valid
15.0ms173×body640valid
8.0ms119×body320valid
5.0ms41×body2560valid
2.0ms53×body160valid

Profiling

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