Details

Time bar (total: 8.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms332×body80valid

simplify5.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite25.0ms

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×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
24.0ms
(* (* x 3.0) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (* x 3.0) x)

simplify876.0ms

Counts
21 → 21
Iterations

Useful iterations: done (875.0ms)

IterNodesCost
037157
198152
2712128
done5000122

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite20.0ms

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 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
18.0ms
(* 3.0 (pow x 2))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* 3.0 (pow x 2))

simplify2.5s

Counts
30 → 30
Iterations

Useful iterations: done (2.5s)

IterNodesCost
051232
1115209
2431178
32950176
done5002173

prune45.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b
(* (cbrt 3.0) (pow x 2))

rewrite71.0ms

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×*-commutative add-log-exp
Counts
2 → 58
Calls
2 calls:
52.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
15.0ms
(* (cbrt 3.0) (pow x 2))

series179.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
63.0ms
(* (cbrt 3.0) (pow x 2))

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: done (1.3s)

IterNodesCost
084761
1225696
21320509
done5001431

prune109.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2))))
0.2b
(* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2)))
0.3b
(* (fabs x) (cbrt 3.0))
19.0b
(sqrt (pow x 2))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×add-sqr-sqrt associate-*r*
16×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
5×associate-*l*
4×cbrt-prod rem-sqrt-square add-log-exp
3×*-commutative unpow2 sqr-pow
2×unswap-sqr
1×sqrt-pow1 pow1/2
Counts
4 → 97
Calls
4 calls:
109.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2))))
35.0ms
(* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2)))
9.0ms
(* (fabs x) (cbrt 3.0))
4.0ms
(sqrt (pow x 2))

series306.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2))))
88.0ms
(* (* (fabs x) (cbrt 3.0)) (sqrt (pow x 2)))
46.0ms
(* (fabs x) (cbrt 3.0))
10.0ms
(sqrt (pow x 2))

simplify1.5s

Counts
109 → 109
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01271354
13401228
22037913
done5000738

prune308.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample543.0ms

Algorithm
intervals
Results
317.0ms10628×body80valid