Details

Time bar (total: 9.1s)

sample16.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1127
2247
3357
4427
5487
6517
done517

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.0s

Counts
15 → 15
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
032172
181165
2254151
3900151
43218151
done5000151

prune31.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
9.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
39.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: 3 (381.0ms)

IterNodesCost
01282000
12551845
26751717
319601519
done50001519

prune242.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh123
Picked011
Done011
Total968104

Merged error: 0.0b

Counts
104 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
38.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
42.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
39.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.1s

Counts
73 → 73
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0991243
12001197
24841115
313241060
439851015
done50001015

prune314.0ms

Filtered
58 candidates to 73 candidates (-25.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New72173
Fresh055
Picked011
Done022
Total72981

Merged error: 0.0b

Counts
81 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.9b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
flip3-- flip--
pow1 add-exp-log
frac-times pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow associate-*r/ associate-*l/
pow-to-exp pow-exp sqr-pow
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series178.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
45.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
41.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
54.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify1.2s

Counts
82 → 82
Iterations

Useful iterations: 3 (494.0ms)

IterNodesCost
02171775
14401647
210251533
328001464
done50001464

prune282.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New81182
Fresh055
Picked011
Done033
Total811091

Merged error: 0.0b

Counts
91 → 10

regimes291.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample451.0ms

Algorithm
intervals
Results
166.0ms7369×body80valid
27.0ms227×body1280valid
13.0ms166×body640valid
11.0ms91×body2560valid
6.0ms99×body320valid
2.0ms48×body160valid

Profiling

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