Details

Time bar (total: 11.4s)

sample55.0ms

Algorithm
intervals
Results
18.0ms54×body1280valid
11.0ms36×body640valid
9.0ms137×body80valid
4.0ms19×body320valid
1.0ms10×body160valid

simplify19.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize34.0ms

Local error

Found 3 expressions with local error:

3.2b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.2b
(cbrt (+ x 1))

rewrite55.0ms

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:
Slowest
47.0ms
(- (cbrt (+ x 1)) (cbrt x))
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series457.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
277.0ms
(cbrt x)
141.0ms
(- (cbrt (+ x 1)) (cbrt x))
39.0ms
(cbrt (+ x 1))

simplify680.0ms

Counts
69 → 56

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.2b
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
0.2b
(cbrt (+ 1 x))

rewrite84.0ms

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:
Slowest
76.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
4.0ms
(cbrt (+ 1 x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series714.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
267.0ms
(cbrt x)
229.0ms
(cbrt x)
164.0ms
(* (cbrt x) (+ (cbrt (+ 1 x)) (cbrt x)))
53.0ms
(cbrt (+ 1 x))

simplify498.0ms

Counts
93 → 81

prune843.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 51
Calls
4 calls:
Slowest
2.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
496.0ms
(cbrt (cbrt x))
292.0ms
(cbrt x)
286.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify477.0ms

Counts
74 → 63

prune871.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
13×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 → 63
Calls
4 calls:
Slowest
1.0ms
(cbrt (cbrt (cbrt x)))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
425.0ms
(cbrt (cbrt (cbrt x)))
395.0ms
(cbrt (cbrt x))
338.0ms
(cbrt (cbrt x))
327.0ms
(cbrt (cbrt x))

simplify494.0ms

Counts
98 → 75

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes184.0ms

Accuracy

0% (0.5b remaining)

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

bsearch8.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
533.0ms1705×body1280valid
335.0ms4112×body80valid
269.0ms1267×body640valid
121.0ms614×body320valid
31.0ms302×body160valid