Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms240×body80valid
1.0ms4×body1280valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms3×body320valid
0.0ms3×body160valid

simplify299.0ms

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

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ (* 2 (+ x y)) (+ x z))

simplify33.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0275199
11174190
25001185

prune49.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New18422
Fresh101
Picked101
Done000
Total20424

Merged error: 0.0b

Counts
24 → 4

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:
8.0ms
(+ (+ (* 2 (+ x y)) x) z)
6.0ms
(+ (* 2 (+ x y)) x)

series50.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (+ (* 2 (+ x y)) x) z)
29.0ms
(+ (* 2 (+ x y)) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0165183
1588174
22960170
35001170

prune52.0ms

Filtered
33 candidates to 23 candidates (69.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh213
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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))
9.0ms
(cbrt (+ (* 2 (+ x y)) x))

series953.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
213.0ms
(cbrt (+ (* 2 (+ x y)) x))
230.0ms
(cbrt (+ (* 2 (+ x y)) x))
248.0ms
(cbrt (+ (* 2 (+ x y)) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03101085
110831020
25001949

prune250.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh022
Picked011
Done011
Total976103

Merged error: 0.0b

Counts
103 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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:
18.0ms
(* (cbrt (cbrt (+ (* 2 (+ x y)) x))) (cbrt (cbrt (+ (* 2 (+ x y)) x))))
7.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
6.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
7.0ms
(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))))
281.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
298.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))
283.0ms
(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03491647
111701568
250011461

prune346.0ms

Filtered
122 candidates to 90 candidates (73.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1202122
Fresh033
Picked011
Done022
Total1208128

Merged error: 0.0b

Counts
128 → 8

regimes98.0ms

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
0124
1124

end0.0ms

sample441.0ms

Algorithm
intervals
Results
215.0ms7422×body80valid
22.0ms155×body1280valid
20.0ms191×body640valid
10.0ms125×body320valid
7.0ms44×body2560valid
4.0ms71×body160valid

Profiling

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