Details

Time bar (total: 16.8s)

sample52.0ms

Algorithm
intervals
Results
19.0ms47×body1280valid
9.0ms135×body80valid
8.0ms37×body640valid
4.0ms26×body320valid
1.0ms11×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.3b
(- (cbrt (+ x 1)) (cbrt x))

rewrite52.0ms

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-cbrt-cube add-exp-log insert-posit16 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 47
Calls
3 calls:
4.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
44.0ms
(- (cbrt (+ x 1)) (cbrt x))

series521.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(cbrt (+ x 1))
301.0ms
(cbrt x)
158.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify1.7s

Counts
56 → 56
Iterations
IterNodes
done5000
32714
2782
1285
0121

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

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)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
344.0ms
(* (cbrt x) (cbrt x))
311.0ms
(cbrt x)
300.0ms
(cbrt x)
333.0ms
(cbrt x)

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5001
2731
1140
063

prune441.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
7.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt x)
322.0ms
(cbrt x)
293.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify2.8s

Counts
60 → 60
Iterations
IterNodes
done5000
54930
41012
3336
2114
145
025

prune328.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series883.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt x)
227.0ms
(cbrt x)
214.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify3.4s

Counts
60 → 60
Iterations
IterNodes
done5000
54930
41012
3336
2114
145
025

prune394.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

regimes187.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done21
121
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
680.0ms1324×body640valid
490.0ms1717×body1280valid
288.0ms4026×body80valid
90.0ms627×body320valid
29.0ms306×body160valid