Details

Time bar (total: 17.4s)

sample37.0ms

Algorithm
intervals
Results
11.0ms50×body1280valid
7.0ms137×body80valid
6.0ms33×body640valid
3.0ms23×body320valid
1.0ms13×body160valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
4.2b
(- (cbrt (+ x 1)) (cbrt x))

rewrite57.0ms

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:
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
52.0ms
(- (cbrt (+ x 1)) (cbrt x))

series469.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(cbrt (+ x 1))
284.0ms
(cbrt x)
142.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.8s

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

prune243.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube distribute-lft-out
4×insert-posit16 add-log-exp
3×pow1/3
2×cbrt-div flip3-+ associate-*r/ flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (+ 1 x))
78.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series809.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (+ 1 x))
148.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
292.0ms
(cbrt x)
313.0ms
(cbrt x)

simplify2.0s

Counts
81 → 81
Iterations
IterNodes
done5001
21319
1395
0153

prune480.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 associate-*r* associate-*l* add-exp-log
5×add-cbrt-cube distribute-lft-out
4×insert-posit16 add-log-exp
3×pow1/3
2×cbrt-div flip3-+ associate-*l/ flip-+ unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 67
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
111.0ms
(* (+ (cbrt (+ 1 x)) (cbrt x)) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt (+ 1 x))
187.0ms
(* (+ (cbrt (+ 1 x)) (cbrt x)) (cbrt x))
259.0ms
(cbrt x)
685.0ms
(cbrt x)

simplify2.6s

Counts
79 → 79
Iterations
IterNodes
done5001
33349
21085
1365
0151

prune492.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
268.0ms
(cbrt x)
248.0ms
(cbrt x)
370.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify3.1s

Counts
58 → 58
Iterations
IterNodes
done5000
54588
41173
3422
2193
186
044

prune416.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

regimes185.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done26
126
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
479.0ms1706×body1280valid
224.0ms1215×body640valid
162.0ms4102×body80valid
110.0ms650×body320valid
60.0ms327×body160valid