Details

Time bar (total: 9.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify8.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite37.0ms

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:
36.0ms
(* (* x 3.0) x)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (* x 3.0) x)

simplify687.0ms

Counts
23 → 23
Iterations

Useful iterations: done (686.0ms)

IterNodesCost
039169
1101164
2670138
done5001136

prune44.0ms

Pruning

5 alts after pruning (4 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))

rewrite28.0ms

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:
25.0ms
(* 3.0 (pow x 2))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* 3.0 (pow x 2))

simplify3.0s

Counts
32 → 32
Iterations

Useful iterations: done (3.0s)

IterNodesCost
053244
1117221
2432188
32931188
done5001185

prune55.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite109.0ms

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:
88.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
17.0ms
(* (cbrt 3.0) (pow x 2))

series199.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
74.0ms
(* (cbrt 3.0) (pow x 2))

simplify1.4s

Counts
68 → 68
Iterations

Useful iterations: done (1.4s)

IterNodesCost
088801
1225736
21279541
done5000457

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
39×prod-exp
29×add-sqr-sqrt
25×add-cbrt-cube
20×sqrt-prod
19×associate-*l* cbrt-unprod
17×pow1
12×unswap-sqr
11×add-cube-cbrt *-un-lft-identity
10×cbrt-prod associate-*r*
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 → 102
Calls
3 calls:
180.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2))))
43.0ms
(* (sqrt (cbrt 3.0)) (pow x 2))
40.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2)))

series352.0ms

Counts
3 → 9
Calls
3 calls:
141.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2))))
129.0ms
(* (sqrt (cbrt 3.0)) (pow x 2))
82.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2)))

simplify2.6s

Counts
111 → 111
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01201723
13191561
220891101
done50011027

prune229.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b 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

sample515.0ms

Algorithm
intervals
Results
248.0ms10701×body80valid