Details

Time bar (total: 14.6s)

sample40.0ms

Algorithm
intervals
Results
10.0ms45×body1280valid
8.0ms45×body640valid
6.0ms138×body80valid
2.0ms19×body320valid
1.0msbody160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
add-cube-cbrt add-log-exp
difference-of-squares
pow1 add-exp-log add-cbrt-cube distribute-lft-out--
cbrt-div pow1/3 distribute-lft-out
sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
7.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt x)
69.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series635.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(cbrt (+ x 1.0))
287.0ms
(cbrt x)
221.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.5s

Counts
53 → 53
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0131649
1312597
2928573
33661539
done5003513

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
3.5b
(pow x 2/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×cbrt-prod
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log
cbrt-div add-cbrt-cube add-log-exp
unpow-prod-down pow-unpow pow1/3
flip3-+ flip-+ distribute-lft-out
pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
3.0ms
(pow x 2/3)

series860.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (+ x 1.0))
155.0ms
(cbrt (+ x 1.0))
299.0ms
(cbrt x)
256.0ms
(pow x 2/3)

simplify806.0ms

Counts
68 → 68
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
0121625
1295579
21059544
done5001502

prune348.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt x) (cbrt x))
314.0ms
(cbrt x)
279.0ms
(cbrt x)
285.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune347.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
312.0ms
(cbrt x)
688.0ms
(cbrt x)
289.0ms
(cbrt x)

simplify3.0s

Counts
56 → 56
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
024260
145244
2116220
3342208
4935208
53497208
done5001208

prune324.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

regimes76.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
12028
done2028

end0.0ms

sample1.2s

Algorithm
intervals
Results
398.0ms1759×body1280valid
251.0ms1259×body640valid
231.0ms4044×body80valid
64.0ms612×body320valid
26.0ms326×body160valid