Details

Time bar (total: 15.1s)

sample10.0ms

Algorithm
intervals
Results
4.0ms334×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)

rewrite17.0ms

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:
17.0ms
(* (* x 3.0) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x 3.0) x)

simplify3.1s

Counts
23 → 23
Iterations

Useful iterations: 4 (777.0ms)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite15.0ms

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:
14.0ms
(* 3.0 (pow x 2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* 3.0 (pow x 2))

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune55.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite59.0ms

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:
39.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
17.0ms
(* (cbrt 3.0) (pow x 2))

series143.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
52.0ms
(* (cbrt 3.0) (pow x 2))

simplify2.8s

Counts
68 → 68
Iterations

Useful iterations: done (2.8s)

IterNodesCost
088801
1198736
2641541
32105457
done5000450

prune105.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
21×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
7×add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×cbrt-prod
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
3 → 74
Calls
3 calls:
19.0ms
(* (* x (cbrt 3.0)) x)
71.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* x (cbrt 3.0)) x))
9.0ms
(* x (cbrt 3.0))

series183.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (* x (cbrt 3.0)) x)
92.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* x (cbrt 3.0)) x))
43.0ms
(* x (cbrt 3.0))

simplify5.3s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
092879
1217853
2789601
32567489
done5000489

prune101.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample272.0ms

Algorithm
intervals
Results
131.0ms10614×body80valid