Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
6.0ms240×body80valid
0.0ms5×body640valid
0.0ms4×body320valid
0.0ms2×body1280valid
0.0ms4×body160valid
0.0ms1×body2560valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01489
11489

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(+ x (+ (* (+ x y) 2) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05080204

prune27.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh000
Picked011
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize11.0ms

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)))

rewrite283.0ms

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:
256.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
49.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
048321834
148321834

prune233.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh101
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
8.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
8.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
8.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
48.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
51.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053451028

prune237.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh011
Picked011
Done022
Total67572

Merged error: 0.0b

Counts
72 → 5

localize24.0ms

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
13×cbrt-prod *-un-lft-identity
9×flip3-+ flip-+
7×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 59
Calls
4 calls:
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
18.0ms
(cbrt (* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z)))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
48.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
46.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
77.0ms
(cbrt (* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050871474

prune333.0ms

Filtered
58 candidates to 71 candidates (-22.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done033
Total71576

Merged error: 0.0b

Counts
76 → 5

regimes185.0ms

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
0129
1129

end0.0ms

sample550.0ms

Algorithm
intervals
Results
197.0ms7379×body80valid
27.0ms200×body1280valid
21.0ms198×body640valid
10.0ms140×body320valid
5.0ms33×body2560valid
3.0ms61×body160valid

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