Details

Time bar (total: 5.8s)

sample17.0ms

Algorithm
intervals
Results
6.0ms240×body80valid
1.0ms7×body1280valid
0.0ms4×body640valid
0.0ms1×body2560valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1127
2247
3357
4427
5487
6517
done517

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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

simplify961.0ms

Counts
15 → 15
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
032172
181165
2258151
3914151
43280151
done5000151

prune33.0ms

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)))

rewrite20.0ms

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:
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)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
43.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify633.0ms

Counts
99 → 99
Iterations

Useful iterations: 3 (213.0ms)

IterNodesCost
01282000
12591849
27121717
322111519
done50001519

prune253.0ms

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

localize13.0ms

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
4×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))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
41.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
45.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: 4 (534.0ms)

IterNodesCost
0991243
12001200
24931115
313611060
442911015
done50001015

prune317.0ms

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

localize15.0ms

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)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×flip3-- flip--
5×pow1 add-exp-log
4×frac-times pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ associate-*l/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 70
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(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))))
6.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series193.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
49.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
43.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
60.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify724.0ms

Counts
82 → 82
Iterations

Useful iterations: 3 (311.0ms)

IterNodesCost
02171775
14431685
211071523
330231421
done50011421

prune288.0ms

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

regimes311.0ms

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

sample475.0ms

Algorithm
intervals
Results
179.0ms7369×body80valid
23.0ms227×body1280valid
17.0ms166×body640valid
11.0ms91×body2560valid
6.0ms99×body320valid
2.0ms48×body160valid

Profiling

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