Details

Time bar (total: 1.2m)

sample53.0ms

Algorithm
intervals
Results
13.0ms49×body1280valid
13.0ms60×body640valid
6.0ms115×body80valid
3.0ms21×body320valid
1.0ms11×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite880.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
11.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt x)
846.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series2.8s

Counts
3 → 9
Calls
3 calls:
331.0ms
(cbrt (+ x 1.0))
1.4s
(cbrt x)
1.0s
(- (cbrt (+ x 1.0)) (cbrt x))

simplify6.6s

Counts
53 → 53
Iterations
IterNodes
done5000
32013
2724
1307
0131

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series2.5s

Counts
4 → 12
Calls
4 calls:
846.0ms
(* (cbrt x) (cbrt x))
538.0ms
(cbrt x)
498.0ms
(cbrt x)
540.0ms
(cbrt x)

simplify18.2s

Counts
85 → 85
Iterations
IterNodes
done5002
43625
31001
2372
1137
061

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize916.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt x)
5.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (cbrt x))

series6.9s

Counts
4 → 12
Calls
4 calls:
1.7s
(cbrt x)
827.0ms
(cbrt (cbrt x))
2.3s
(cbrt (cbrt x))
2.1s
(cbrt (cbrt x))

simplify12.1s

Counts
65 → 65
Iterations
IterNodes
done5002
53473
4959
3357
2170
178
042

prune1.5s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

localize460.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))
39.0ms
(cbrt (* (cbrt x) (cbrt x)))

series3.7s

Counts
4 → 12
Calls
4 calls:
609.0ms
(cbrt x)
1.0s
(cbrt x)
982.0ms
(cbrt (cbrt x))
1.1s
(cbrt (* (cbrt x) (cbrt x)))

simplify4.6s

Counts
57 → 57
Iterations
IterNodes
done5000
41746
3639
2264
1113
058

prune1.1s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.2b

regimes307.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.3s636×body320valid
1.3s1737×body1280valid
855.0ms4047×body80valid
341.0ms1250×body640valid
329.0ms330×body160valid