Details

Time bar (total: 18.6s)

sample48.0ms

Algorithm
intervals
Results
15.0ms59×body1280valid
7.0ms34×body640valid
6.0ms122×body80valid
5.0ms27×body320valid
1.0ms14×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
4.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite80.0ms

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 distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 44
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
70.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series690.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(cbrt (+ x 1.0))
279.0ms
(cbrt x)
275.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.9s

Counts
53 → 53
Iterations
IterNodes
done5002
31976
2725
1307
0131

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

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×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 → 65
Calls
4 calls:
7.0ms
(cbrt (+ 1.0 x))
86.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series957.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (+ 1.0 x))
244.0ms
(* (cbrt x) (+ (cbrt x) (cbrt (+ 1.0 x))))
315.0ms
(cbrt x)
290.0ms
(cbrt x)

simplify2.1s

Counts
77 → 77
Iterations
IterNodes
done5001
21472
1452
0171

prune644.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(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:
299.0ms
(cbrt x)
380.0ms
(cbrt (cbrt x))
414.0ms
(cbrt (cbrt x))
362.0ms
(cbrt (cbrt x))

simplify2.2s

Counts
65 → 65
Iterations
IterNodes
done5002
53229
4909
3358
2170
177
042

prune445.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize161.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt (cbrt x)))
3.0ms
(cbrt (cbrt (cbrt x)))
2.0ms
(cbrt (cbrt (cbrt x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt (cbrt x))
333.0ms
(cbrt (cbrt (cbrt x)))
382.0ms
(cbrt (cbrt (cbrt x)))
338.0ms
(cbrt (cbrt (cbrt x)))

simplify3.2s

Counts
77 → 77
Iterations
IterNodes
done5001
54017
41034
3388
2178
189
054

prune688.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes267.0ms

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
done14
114
010

end0.0ms

sample1.6s

Algorithm
intervals
Results
696.0ms1205×body640valid
389.0ms1759×body1280valid
230.0ms4062×body80valid
127.0ms663×body320valid
28.0ms311×body160valid