Details

Time bar (total: 18.3s)

sample23.0ms

Algorithm
intervals
Results
14.0ms347×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
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x 3.0) x)

series36.0ms

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

simplify4.6s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune41.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*l* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
16.0ms
(* 3.0 (pow x 2))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* 3.0 (pow x 2))

simplify4.6s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune73.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
21×prod-exp
18×add-sqr-sqrt
associate-*r* add-cbrt-cube cbrt-unprod
unswap-sqr
pow1 cbrt-prod associate-*l*
add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 62
Calls
2 calls:
90.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
28.0ms
(* (cbrt 3.0) (pow x 2))

series203.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
68.0ms
(* (cbrt 3.0) (pow x 2))

simplify4.2s

Counts
68 → 68
Iterations

Useful iterations: done (4.2s)

IterNodesCost
088801
1198736
2641541
32105457
done5000450

prune190.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
109×add-exp-log
84×prod-exp
40×cbrt-unprod
29×pow1 add-cbrt-cube
26×add-sqr-sqrt
21×cbrt-prod
18×pow-prod-down
12×unswap-sqr
11×associate-*l*
10×associate-*r*
add-cube-cbrt *-un-lft-identity
pow-to-exp pow-exp
unpow-prod-down
unpow2 sqr-pow
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 115
Calls
3 calls:
20.0ms
(* (cbrt (cbrt 3.0)) (pow x 2))
242.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
75.0ms
(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

series601.0ms

Counts
3 → 9
Calls
3 calls:
378.0ms
(* (cbrt (cbrt 3.0)) (pow x 2))
131.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
92.0ms
(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

simplify2.3s

Counts
124 → 124
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01432409
13482202
214731425
done5000899

prune264.0ms

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

sample421.0ms

Algorithm
intervals
Results
271.0ms10760×body80valid