Details

Time bar (total: 15.3s)

sample53.0ms

Algorithm
intervals
Results
17.0ms53×body1280valid
11.0ms43×body640valid
8.0ms129×body80valid
4.0ms19×body320valid
1.0ms12×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
34.0ms
(- (cbrt (+ x 1)) (cbrt x))

series522.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(cbrt (+ x 1))
334.0ms
(cbrt x)
129.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.8s

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

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

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)

rewrite7.0ms

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:
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series627.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ 1 x))
43.0ms
(cbrt (+ 1 x))
268.0ms
(cbrt x)
273.0ms
(cbrt x)

simplify1.9s

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

prune366.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

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)

rewrite7.0ms

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:
2.0ms
(cbrt (+ 1 x))
3.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series612.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(cbrt (+ 1 x))
44.0ms
(cbrt (+ 1 x))
274.0ms
(cbrt x)
249.0ms
(cbrt x)

simplify1.9s

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

prune446.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize44.0ms

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)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
11×cbrt-prod
9×*-un-lft-identity
7×add-sqr-sqrt flip3-+ add-cube-cbrt flip-+
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×associate-*l/ associate-*r/
1×distribute-lft-out
Counts
4 → 57
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
16.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series656.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (+ 1 x))
62.0ms
(cbrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
258.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify2.6s

Counts
69 → 69
Iterations
IterNodes
done5001
43697
31420
2587
1269
0139

prune446.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.3b

regimes105.0ms

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

sample1.7s

Algorithm
intervals
Results
901.0ms1655×body1280valid
280.0ms1211×body640valid
197.0ms4179×body80valid
119.0ms624×body320valid
68.0ms331×body160valid