Details

Time bar (total: 13.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms350×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
7.0ms
(* (* x 3.0) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (* x 3.0) x)

simplify4.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
037157
190152
2349122
31213122
42811121
done5000121

prune39.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (pow x 2) 3.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*l*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*r* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* (pow x 2) 3.0)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (pow x 2) 3.0)

simplify3.6s

Counts
30 → 30
Iterations

Useful iterations: 3 (302.0ms)

IterNodesCost
049229
1101210
2341181
31082177
44036177
done5000177

prune58.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
associate-*l* add-cbrt-cube cbrt-unprod
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity
pow1 pow-to-exp unpow-prod-down pow-exp unswap-sqr
cbrt-prod
pow-prod-down *-commutative unpow2 add-log-exp sqr-pow
pow2
Counts
2 → 56
Calls
2 calls:
14.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
37.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series182.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
105.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify3.1s

Counts
62 → 62
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
084808
1215684
2882536
33834461
done5000461

prune117.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))
0.2b
(* (pow (cbrt 3.0) 2) (pow x 2))
0.2b
(* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
58×prod-exp
36×add-sqr-sqrt
26×associate-*r*
22×unpow-prod-down
20×unswap-sqr
19×add-cbrt-cube
18×pow-to-exp pow-exp
14×add-cube-cbrt *-un-lft-identity
13×cbrt-prod associate-*l*
12×sqrt-prod
11×unpow2 sqr-pow
10×pow1 cbrt-unprod
pow-prod-down
*-commutative add-log-exp
Counts
3 → 123
Calls
3 calls:
60.0ms
(* (* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))
15.0ms
(* (pow (cbrt 3.0) 2) (pow x 2))
18.0ms
(* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0)))

series370.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* (* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0))) (sqrt (cbrt 3.0)))
78.0ms
(* (pow (cbrt 3.0) 2) (pow x 2))
188.0ms
(* (* (pow (cbrt 3.0) 2) (pow x 2)) (sqrt (cbrt 3.0)))

simplify1.4s

Counts
132 → 132
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
01552040
13781625
216921401
done50001401

prune237.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample256.0ms

Algorithm
intervals
Results
147.0ms10641×body80valid