Details

Time bar (total: 19.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms338×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x 3.0) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* x 3.0) x)

simplify5.3s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune67.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
25.0ms
(* 3.0 (pow x 2))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* 3.0 (pow x 2))

simplify4.6s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune100.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b
(* (cbrt 3.0) (pow x 2))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
21×prod-exp
18×add-sqr-sqrt
9×associate-*r* add-cbrt-cube cbrt-unprod
8×unswap-sqr
7×pow1 cbrt-prod associate-*l*
6×add-cube-cbrt *-un-lft-identity
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 62
Calls
2 calls:
51.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
34.0ms
(* (cbrt 3.0) (pow x 2))

series182.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
57.0ms
(* (cbrt 3.0) (pow x 2))

simplify4.5s

Counts
68 → 68
Iterations

Useful iterations: done (4.4s)

IterNodesCost
088801
1198736
2641541
32105457
done5000450

prune194.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2))))
0.2b
(* (cbrt (sqrt 3.0)) (pow x 2))
0.2b
(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
39×prod-exp
29×add-sqr-sqrt
20×cbrt-prod
19×associate-*l* cbrt-unprod
17×pow1
15×add-cbrt-cube
12×unswap-sqr
11×add-cube-cbrt *-un-lft-identity
10×associate-*r* sqrt-prod
9×pow-prod-down
6×unpow-prod-down
4×pow-to-exp pow-exp unpow2 sqr-pow
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 102
Calls
3 calls:
170.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2))))
18.0ms
(* (cbrt (sqrt 3.0)) (pow x 2))
35.0ms
(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2)))

series1.6s

Counts
3 → 9
Calls
3 calls:
573.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2))))
498.0ms
(* (cbrt (sqrt 3.0)) (pow x 2))
500.0ms
(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2)))

simplify1.4s

Counts
111 → 111
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01261678
12961523
211321144
done50001095

prune456.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample539.0ms

Algorithm
intervals
Results
270.0ms10747×body80valid