Details

Time bar (total: 15.9s)

sample44.0ms

Algorithm
intervals
Results
12.0ms51×body1280valid
8.0ms43×body640valid
6.0ms132×body80valid
2.0ms19×body320valid
1.0ms11×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
3.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite70.0ms

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:
11.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
57.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series598.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(cbrt (+ x 1.0))
287.0ms
(cbrt x)
197.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.4s

Counts
53 → 53
Iterations
IterNodes
done5002
33704
2938
1313
0131

prune309.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
23.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt x) (cbrt x))
322.0ms
(cbrt x)
313.0ms
(cbrt x)
275.0ms
(cbrt x)

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune567.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt x)
265.0ms
(cbrt x)
265.0ms
(cbrt x)
428.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.8s

Counts
54 → 54
Iterations
IterNodes
done5001
42894
3762
2231
184
042

prune486.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
8.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.5s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt x)
291.0ms
(cbrt x)
483.0ms
(cbrt (* (cbrt x) (cbrt x)))
433.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.7s

Counts
52 → 52
Iterations
IterNodes
done5001
42894
3762
2231
184
042

prune403.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes266.0ms

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
683.0ms1318×body640valid
280.0ms1679×body1280valid
223.0ms4079×body80valid
73.0ms600×body320valid
21.0ms324×body160valid