Details

Time bar (total: 15.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms53×body1280valid
4.0ms39×body640valid
4.0ms129×body80valid
2.0ms28×body320valid
0.0ms7×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.9b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite45.0ms

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)
35.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series660.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(cbrt (+ x 1.0))
304.0ms
(cbrt x)
223.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.2s

Counts
53 → 53
Iterations
IterNodes
done5002
33704
2938
1313
0131

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt x) (cbrt x))
287.0ms
(cbrt x)
301.0ms
(cbrt x)
292.0ms
(cbrt x)

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune513.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt x)
252.0ms
(cbrt x)
283.0ms
(cbrt x)
286.0ms
(cbrt x)

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5002
52939
4859
3326
2113
144
024

prune355.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt x)
296.0ms
(cbrt x)
253.0ms
(cbrt x)
300.0ms
(cbrt x)

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5002
52939
4859
3326
2113
144
024

prune358.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes121.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
649.0ms1274×body640valid
436.0ms1652×body1280valid
161.0ms4138×body80valid
70.0ms640×body320valid
21.0ms296×body160valid