Details

Time bar (total: 16.5s)

sample40.0ms

Algorithm
intervals
Results
11.0ms54×body1280valid
7.0ms47×body640valid
5.0ms118×body80valid
3.0ms28×body320valid
1.0msbody160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.8b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite388.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
distribute-lft-out
fma-neg
add-log-exp
difference-of-squares
expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u distribute-lft-out--
cbrt-div pow1/3
sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 99
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
381.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series572.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(cbrt (+ x 1.0))
253.0ms
(cbrt x)
192.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.9s

Counts
108 → 108
Iterations
IterNodes
done5000
33359
21096
1449
0194

prune536.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.8b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.5b
(cbrt x)
0.5b
(cbrt x)
3.4b
(- (+ 1.0 x) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×cbrt-prod
add-log-exp
distribute-lft-out
expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
pow1/3
cbrt-div diff-log distribute-lft-out--
sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
53.0ms
(- (+ 1.0 x) x)

series700.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ 1.0 x))
275.0ms
(cbrt x)
307.0ms
(cbrt x)
1.0ms
(- (+ 1.0 x) x)

simplify3.3s

Counts
89 → 89
Iterations
IterNodes
done5001
33130
2939
1341
0145

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

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)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series720.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (+ 1.0 x))
96.0ms
(cbrt (+ 1.0 x))
221.0ms
(cbrt x)
289.0ms
(cbrt x)

simplify1.4s

Counts
70 → 70
Iterations
IterNodes
done5004
31647
2557
1214
097

prune436.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
cbrt-div
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
flip3-+ flip-+ distribute-lft-out
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (cbrt (+ 1.0 x)))
4.0ms
(cbrt (cbrt (+ 1.0 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series839.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (cbrt (+ 1.0 x)))
112.0ms
(cbrt (cbrt (+ 1.0 x)))
279.0ms
(cbrt x)
292.0ms
(cbrt x)

simplify1.8s

Counts
76 → 76
Iterations
IterNodes
done5000
31782
2603
1235
0114

prune558.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes129.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
592.0ms4079×body80valid
418.0ms1747×body1280valid
235.0ms1243×body640valid
66.0ms625×body320valid
56.0ms306×body160valid