Details

Time bar (total: 7.6s)

sample20.0ms

Algorithm
intervals
Results
6.0ms57×body1280valid
3.0ms46×body640valid
3.0ms122×body80valid
2.0ms27×body320valid
0.0ms4×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
197
2107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
1.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite38.0ms

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×pow1 add-exp-log expm1-log1p-u add-cbrt-cube 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:
2.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
30.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series413.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
175.0ms
(cbrt x)
149.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify465.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
01942160
14271776
212181468
done50001468

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 16.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(- (+ x 1.0) x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
23×add-sqr-sqrt
17×add-cube-cbrt
14×cbrt-prod
12×prod-diff
9×distribute-lft-out add-log-exp
6×pow1 add-exp-log associate-*r* associate-*l*
5×add-cbrt-cube
4×expm1-log1p-u fma-neg log1p-expm1-u
2×pow1/3 diff-log associate-*r/ distribute-lft-out-- unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 92
Calls
4 calls:
52.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(- (+ x 1.0) x)

series522.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
177.0ms
(cbrt x)
176.0ms
(cbrt x)
1.0ms
(- (+ x 1.0) x)

simplify651.0ms

Counts
104 → 104
Iterations

Useful iterations: done (648.0ms)

IterNodesCost
01761170
1425930
21681829
done5000816

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×cbrt-prod
14×add-sqr-sqrt
10×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l*
5×add-cbrt-cube distribute-lft-out
4×expm1-log1p-u log1p-expm1-u 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 → 73
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
54.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series616.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
169.0ms
(* (cbrt x) (+ (cbrt (+ x 1.0)) (cbrt x)))
178.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify561.0ms

Counts
85 → 85
Iterations

Useful iterations: done (559.0ms)

IterNodesCost
0175915
1454832
21606772
done5000771

prune280.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series732.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
181.0ms
(cbrt x)
185.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
026284
144268
285244
3179232
4578232
52954232
done5000232

prune206.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes56.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
11729
done1729

end0.0ms

sample507.0ms

Algorithm
intervals
Results
175.0ms1743×body1280valid
99.0ms1264×body640valid
86.0ms4075×body80valid
34.0ms618×body320valid
11.0ms300×body160valid