Details

Time bar (total: 16.0s)

sample26.0ms

Algorithm
intervals
Results
7.0ms53×body1280valid
4.0ms39×body640valid
4.0ms129×body80valid
2.0ms28×body320valid
0.0ms7×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 99
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
64.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series640.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(cbrt (+ x 1.0))
245.0ms
(cbrt x)
264.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.3s

Counts
108 → 108
Iterations
IterNodes
done5000
21404
1459
0194

prune464.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series779.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (+ 1.0 x))
132.0ms
(cbrt (+ 1.0 x))
276.0ms
(cbrt x)
261.0ms
(cbrt x)

simplify2.9s

Counts
70 → 70
Iterations
IterNodes
done5003
32633
2673
1214
097

prune382.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt x)
262.0ms
(cbrt x)
253.0ms
(cbrt x)
278.0ms
(cbrt x)

simplify2.9s

Counts
64 → 64
Iterations
IterNodes
done5000
54918
4936
3322
2113
146
026

prune496.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×cbrt-div
19×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
7×flip3-+ flip-+ distribute-lft-out
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
65.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series762.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ 1.0 x))
165.0ms
(* (cbrt (cbrt (+ 1.0 x))) (cbrt (cbrt (+ 1.0 x))))
249.0ms
(cbrt x)
219.0ms
(cbrt x)

simplify1.4s

Counts
123 → 123
Iterations
IterNodes
done5000
21551
1425
0197

prune801.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes136.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
216
115
011

end0.0ms

sample1.5s

Algorithm
intervals
Results
824.0ms1652×body1280valid
234.0ms4138×body80valid
185.0ms1274×body640valid
122.0ms640×body320valid
20.0ms296×body160valid