Details

Time bar (total: 17.7s)

sample32.0ms

Algorithm
intervals
Results
16.0ms347×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite27.0ms

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:
26.0ms
(* (* x 3.0) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (* x 3.0) x)

simplify5.6s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite14.0ms

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:
13.0ms
(* 3.0 (pow x 2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* 3.0 (pow x 2))

simplify4.4s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune58.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite83.0ms

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:
62.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
16.0ms
(* (cbrt 3.0) (pow x 2))

series211.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
61.0ms
(* (cbrt 3.0) (pow x 2))

simplify4.1s

Counts
68 → 68
Iterations

Useful iterations: done (4.1s)

IterNodesCost
088801
1198736
2641541
32105457
done5000450

prune157.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
39×prod-exp
27×add-sqr-sqrt
22×cbrt-prod
19×cbrt-unprod
17×pow1
15×add-cbrt-cube
14×associate-*l*
12×unswap-sqr
10×associate-*r*
add-cube-cbrt *-un-lft-identity pow-prod-down
unpow-prod-down
pow-to-exp pow-exp unpow2 sqr-pow
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 97
Calls
3 calls:
21.0ms
(* (cbrt (cbrt 3.0)) (pow x 2))
128.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
53.0ms
(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

series501.0ms

Counts
3 → 9
Calls
3 calls:
344.0ms
(* (cbrt (cbrt 3.0)) (pow x 2))
103.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))
54.0ms
(* (cbrt (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01291760
12981650
211171387
done50001364

prune294.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes47.0ms

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

sample501.0ms

Algorithm
intervals
Results
257.0ms10760×body80valid