Details

Time bar (total: 13.1s)

sample11.0ms

Algorithm
intervals
Results
4.0ms350×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune2.0ms

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)

rewrite7.0ms

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:
7.0ms
(* (* x 3.0) x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (* x 3.0) x)

simplify4.0s

Counts
23 → 23
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
039169
192164
2349134
31185134
42800133
done5000133

prune47.0ms

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
(* (pow x 2) 3.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*l*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*r* 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:
6.0ms
(* (pow x 2) 3.0)

series27.0ms

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

simplify3.4s

Counts
32 → 32
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
051241
1104222
2345189
31079189
44085189
done5000189

prune69.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
25×prod-exp
associate-*l* add-cbrt-cube cbrt-unprod
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity
pow1 pow-to-exp unpow-prod-down pow-exp unswap-sqr
cbrt-prod
expm1-log1p-u pow-prod-down *-commutative log1p-expm1-u unpow2 add-log-exp sqr-pow
pow2
Counts
2 → 60
Calls
2 calls:
16.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
39.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series178.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (pow x 2) (* (cbrt 3.0) (cbrt 3.0)))
97.0ms
(* (* (pow x 2) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify2.7s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
088854
1220726
2891572
33873491
done5000491

prune138.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
58×prod-exp
36×add-sqr-sqrt
29×associate-*r*
22×unpow-prod-down
20×unswap-sqr
19×cbrt-prod
18×pow-to-exp pow-exp
14×add-cube-cbrt *-un-lft-identity
12×add-cbrt-cube
11×unpow2 sqr-pow
10×pow1 associate-*l* cbrt-unprod
sqrt-prod
pow-prod-down
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 129
Calls
3 calls:
61.0ms
(* (* (* (pow x 2) (pow (cbrt 3.0) 2)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
12.0ms
(* (pow x 2) (pow (cbrt 3.0) 2))
18.0ms
(* (* (pow x 2) (pow (cbrt 3.0) 2)) (cbrt (sqrt 3.0)))

series789.0ms

Counts
3 → 9
Calls
3 calls:
378.0ms
(* (* (* (pow x 2) (pow (cbrt 3.0) 2)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))
82.0ms
(* (pow x 2) (pow (cbrt 3.0) 2))
329.0ms
(* (* (pow x 2) (pow (cbrt 3.0) 2)) (cbrt (sqrt 3.0)))

simplify978.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (370.0ms)

IterNodesCost
01672101
13961786
218511516
done50001516

prune306.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample239.0ms

Algorithm
intervals
Results
136.0ms10641×body80valid