Details

Time bar (total: 8.9s)

sample19.0ms

Algorithm
intervals
Results
10.0ms439×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0715
11315
22313
3369
4449
5459
done459

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
6.0ms
(* 3 (* y y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* 3 (* y y))

simplify2.3s

Counts
22 → 22
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
034162
182149
2232129
3463123
4678123
51357123
63385123
done5001123

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (* 3 y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
6.0ms
(* y (* 3 y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* y (* 3 y))

simplify1.1s

Counts
21 → 21
Iterations

Useful iterations: 4 (224.0ms)

IterNodesCost
034154
183143
2247123
3428115
4647114
51718114
done5000114

prune38.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
associate-*l*
add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
2 → 51
Calls
2 calls:
29.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms
(* (cbrt 3) (* y y))

series135.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
48.0ms
(* (cbrt 3) (* y y))

simplify3.2s

Counts
57 → 57
Iterations

Useful iterations: 3 (458.0ms)

IterNodesCost
066692
1177664
2622448
32331342
44359342
done5000342

prune81.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
0.2b
(* (cbrt (cbrt 3)) (* y y))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1 add-exp-log
33×pow-prod-down prod-exp cbrt-unprod
24×add-cbrt-cube
14×associate-*l*
13×cbrt-prod
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
3 → 83
Calls
3 calls:
22.0ms
(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
71.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
9.0ms
(* (cbrt (cbrt 3)) (* y y))

series386.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
92.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt (* (cbrt 3) (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))
241.0ms
(* (cbrt (cbrt 3)) (* y y))

simplify504.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
01021590
12791546
210711249
done50001249

prune196.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b 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
079
1109
done109

end0.0ms

sample548.0ms

Algorithm
intervals
Results
326.0ms14103×body80valid