Details

Time bar (total: 13.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms341×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite41.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
40.0ms
(* (* x 3.0) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x 3.0) x)

simplify775.0ms

Counts
23 → 23
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
039169
1101164
2670138
done5001136

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite24.0ms

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 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
23.0ms
(* 3.0 (pow x 2))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 3.0 (pow x 2))

simplify4.3s

Counts
32 → 32
Iterations

Useful iterations: done (4.3s)

IterNodesCost
053244
1117221
2432188
32931188
done5001185

prune150.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite110.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 62
Calls
2 calls:
78.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
28.0ms
(* (cbrt 3.0) (pow x 2))

series266.0ms

Counts
2 → 6
Calls
2 calls:
184.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
82.0ms
(* (cbrt 3.0) (pow x 2))

simplify1.8s

Counts
68 → 68
Iterations

Useful iterations: done (1.8s)

IterNodesCost
088801
1225736
21279541
done5000457

prune272.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite295.0ms

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*
9×pow-prod-down
6×unpow-prod-down
4×pow-to-exp pow-exp unpow2 sqr-pow
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 102
Calls
3 calls:
62.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2)))
195.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2))))
31.0ms
(* (sqrt (cbrt 3.0)) (pow x 2))

series404.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2)))
180.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (pow x 2))))
134.0ms
(* (sqrt (cbrt 3.0)) (pow x 2))

simplify3.5s

Counts
111 → 111
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01201723
13191561
221141078
done50001027

prune479.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes122.0ms

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

sample665.0ms

Algorithm
intervals
Results
371.0ms10774×body80valid