Details

Time bar (total: 7.7s)

sample92.0ms

Algorithm
intervals
Results
38.0ms562×body80valid

simplify146.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114
done500114

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (* j 27.0) k)
16.0ms
(* (* x 18.0) y)
51.0ms
(* (* (* x 18.0) y) z)
173.0ms
(* (* (* (* x 18.0) y) z) t)

series116.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
20.0ms
(* (* x 18.0) y)
27.0ms
(* (* (* x 18.0) y) z)
48.0ms
(* (* (* (* x 18.0) y) z) t)

simplify67.0ms

Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0360423
12141320
25001320
done5001320

prune275.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (* x 18.0) y)
16.0ms
(* j (* 27.0 k))
51.0ms
(* (* (* x 18.0) y) z)
175.0ms
(* (* (* (* x 18.0) y) z) t)

series114.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 18.0) y)
18.0ms
(* j (* 27.0 k))
31.0ms
(* (* (* x 18.0) y) z)
45.0ms
(* (* (* (* x 18.0) y) z) t)

simplify66.0ms

Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0352422
12030319
25002319
done5002319

prune294.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (* (* (* x 18.0) y) z) t)
6.1b
(cbrt (* j (* 27.0 k)))
6.1b
(cbrt (* j (* 27.0 k)))
6.1b
(cbrt (* j (* 27.0 k)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
cbrt-prod pow1/3 associate-*r*
associate-*l* *-commutative
Counts
4 → 51
Calls
4 calls:
207.0ms
(* (* (* (* x 18.0) y) z) t)
10.0ms
(cbrt (* j (* 27.0 k)))
10.0ms
(cbrt (* j (* 27.0 k)))
10.0ms
(cbrt (* j (* 27.0 k)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* (* (* x 18.0) y) z) t)
90.0ms
(cbrt (* j (* 27.0 k)))
90.0ms
(cbrt (* j (* 27.0 k)))
90.0ms
(cbrt (* j (* 27.0 k)))

simplify45.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0295370
11269304
25002280
done5002280

prune368.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod associate-*r*
add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
51.0ms
(* (* (* x 18.0) y) z)
177.0ms
(* (* (* (* x 18.0) y) z) t)

series443.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt j)
174.0ms
(cbrt j)
27.0ms
(* (* (* x 18.0) y) z)
47.0ms
(* (* (* (* x 18.0) y) z) t)

simplify59.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0271357
11483278
25001274
done5001274

prune302.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

regimes1.5s

Accuracy

46.1% (2.5b remaining)

Error of 3.3b against oracle of 0.8b and baseline of 5.5b

bsearch3.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07069
17069
done7069

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s16228×body80valid