Details

Time bar (total: 16.5s)

sample38.0ms

Algorithm
intervals
Results
13.0ms132×body80valid
9.0ms61×body1280valid
5.0ms36×body640valid
2.0ms20×body320valid
0.0ms7×body160valid

simplify16.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
2.3b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite53.0ms

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-exp-log add-cbrt-cube 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:
7.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
43.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series637.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(cbrt (+ x 1.0))
308.0ms
(cbrt x)
220.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.5s

Counts
53 → 53

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
23.0ms
(* (cbrt x) (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt x)
235.0ms
(cbrt x)
281.0ms
(cbrt x)
309.0ms
(* (cbrt x) (cbrt x))

simplify914.0ms

Counts
85 → 85

prune352.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 74
Calls
4 calls:
2.0ms
(cbrt x)
23.0ms
(* (cbrt x) (cbrt x))
3.0ms
(cbrt (cbrt x))
11.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt x)
321.0ms
(* (cbrt x) (cbrt x))
391.0ms
(cbrt (cbrt x))
426.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify999.0ms

Counts
86 → 86

prune506.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.2b

localize45.0ms

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)) (cbrt (cbrt x))))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 49
Calls
4 calls:
3.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (cbrt (cbrt x)))
14.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))
6.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.8s

Counts
4 → 12
Calls
4 calls:
416.0ms
(cbrt (cbrt x))
424.0ms
(cbrt (cbrt (cbrt x)))
460.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))
465.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify840.0ms

Counts
61 → 61

prune471.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

regimes239.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.9s

end0.0ms

sample1.3s

Algorithm
intervals
Results
463.0ms1785×body1280valid
254.0ms4095×body80valid
192.0ms1215×body640valid
123.0ms604×body320valid
27.0ms301×body160valid