Details

Time bar (total: 17.5s)

sample37.0ms

Algorithm
intervals
Results
12.0ms54×body1280valid
6.0ms135×body80valid
5.0ms29×body640valid
3.0ms27×body320valid
1.0ms11×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: 28.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.6b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite81.0ms

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)
67.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series536.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(cbrt (+ x 1.0))
239.0ms
(cbrt x)
193.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.9s

Counts
108 → 108
Iterations
IterNodes
done5000
33359
21096
1449
0194

prune525.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.5b
(cbrt x)
0.5b
(cbrt x)
3.1b
(- (+ 1.0 x) x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
9×add-log-exp
6×distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
3×pow1/3
2×cbrt-div diff-log distribute-lft-out--
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
74.0ms
(- (+ 1.0 x) x)

series653.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ 1.0 x))
255.0ms
(cbrt x)
275.0ms
(cbrt x)
2.0ms
(- (+ 1.0 x) x)

simplify3.1s

Counts
89 → 89
Iterations
IterNodes
done5001
33130
2939
1341
0145

prune451.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

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:
3.0ms
(cbrt (+ 1.0 x))
4.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series875.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ 1.0 x))
139.0ms
(cbrt (+ 1.0 x))
308.0ms
(cbrt x)
301.0ms
(cbrt x)

simplify1.9s

Counts
70 → 70
Iterations
IterNodes
done5004
31647
2557
1214
097

prune554.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize92.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt x)
246.0ms
(cbrt x)
321.0ms
(cbrt x)
397.0ms
(cbrt (cbrt x))

simplify2.4s

Counts
67 → 67
Iterations
IterNodes
done5001
53554
4925
3358
2174
181
046

prune406.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

regimes96.0ms

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
done11
111
09

end0.0ms

sample1.6s

Algorithm
intervals
Results
754.0ms1733×body1280valid
252.0ms1239×body640valid
192.0ms4063×body80valid
119.0ms657×body320valid
72.0ms308×body160valid