Details

Time bar (total: 15.3s)

sample37.0ms

Algorithm
intervals
Results
12.0ms53×body1280valid
7.0ms43×body640valid
6.0ms129×body80valid
2.0ms19×body320valid
1.0ms12×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
2.8b
(- (cbrt (+ x 1)) (cbrt x))

rewrite59.0ms

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:
7.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
50.0ms
(- (cbrt (+ x 1)) (cbrt x))

series383.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(cbrt (+ x 1))
232.0ms
(cbrt x)
99.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.4s

Counts
56 → 56
Iterations
IterNodes
done5000
43784
31472
2585
1267
0121

prune273.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
6.0ms
(cbrt (+ 1 x))
6.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series620.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (+ 1 x))
49.0ms
(cbrt (+ 1 x))
260.0ms
(cbrt x)
264.0ms
(cbrt x)

simplify1.9s

Counts
66 → 66
Iterations
IterNodes
done5006
42409
3909
2379
1171
082

prune413.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 54
Calls
4 calls:
4.0ms
(cbrt (+ 1 x))
4.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series921.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ 1 x))
44.0ms
(cbrt (+ 1 x))
586.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify2.0s

Counts
66 → 66
Iterations
IterNodes
done5006
42409
3909
2379
1171
082

prune426.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1 x))
0.3b
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
32×*-un-lft-identity
24×add-sqr-sqrt
22×cbrt-div
16×add-cube-cbrt
9×swap-sqr
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp unswap-sqr
2×associate-*l/ associate-*r/
1×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(cbrt (+ 1 x))
51.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series661.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ 1 x))
49.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
283.0ms
(cbrt x)
280.0ms
(cbrt x)

simplify3.0s

Counts
100 → 100
Iterations
IterNodes
done5002
44331
31776
2757
1339
0178

prune566.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

regimes78.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
558.0ms1655×body1280valid
279.0ms1211×body640valid
233.0ms4179×body80valid
96.0ms624×body320valid
32.0ms331×body160valid