Details

Time bar (total: 15.2s)

sample38.0ms

Algorithm
intervals
Results
12.0ms54×body1280valid
9.0ms50×body640valid
6.0ms125×body80valid
2.0ms16×body320valid
1.0ms11×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
310
210
19
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1))
0.6b
(cbrt x)
3.0b
(- (cbrt (+ x 1)) (cbrt x))

rewrite59.0ms

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:
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)
55.0ms
(- (cbrt (+ x 1)) (cbrt x))

series449.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cbrt (+ x 1))
297.0ms
(cbrt x)
102.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify2.1s

Counts
56 → 56
Iterations
IterNodes
43308
31295
2562
1259
0121

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod *-un-lft-identity
29×add-sqr-sqrt
17×add-cube-cbrt
13×pow1 associate-*r* associate-*l*
12×cbrt-div
10×distribute-lft-out
9×swap-sqr
8×pow1/3 add-exp-log
7×flip3-+ flip-+
6×unswap-sqr
5×add-cbrt-cube
4×frac-times associate-*r/ insert-posit16 add-log-exp
3×pow-prod-down
2×associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus
Counts
4 → 108
Calls
4 calls:
45.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
79.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series856.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
171.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
291.0ms
(cbrt x)
339.0ms
(cbrt x)

simplify2.6s

Counts
120 → 120
Iterations
IterNodes
35214
21514
1459
0185

prune565.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 60
Calls
4 calls:
10.0ms
(cbrt (cbrt (+ 1 x)))
3.0ms
(cbrt (cbrt (+ 1 x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series676.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (cbrt (+ 1 x)))
48.0ms
(cbrt (cbrt (+ 1 x)))
325.0ms
(cbrt x)
245.0ms
(cbrt x)

simplify1.0s

Counts
72 → 72
Iterations
IterNodes
42067
3854
2390
1187
099

prune520.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
16×*-un-lft-identity
12×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 66
Calls
4 calls:
6.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
6.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series685.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
68.0ms
(cbrt (cbrt (cbrt (+ 1 x))))
311.0ms
(cbrt x)
259.0ms
(cbrt x)

simplify3.0s

Counts
78 → 78
Iterations
IterNodes
55582
41876
3855
2407
1202
0113

prune560.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.1b

regimes104.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
494.0ms1723×body1280valid
316.0ms1282×body640valid
242.0ms4043×body80valid
126.0ms622×body320valid
62.0ms330×body160valid