Details

Time bar (total: 11.7s)

sample11.0ms

Algorithm
intervals
Results
4.0ms336×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
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:
18.0ms
(* (* x 3.0) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x 3.0) x)

simplify3.0s

Counts
23 → 23
Iterations

Useful iterations: 4 (769.0ms)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune35.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 3.0 (pow x 2))

rewrite16.0ms

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:
15.0ms
(* 3.0 (pow x 2))

series27.0ms

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

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune55.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite62.0ms

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:
42.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
17.0ms
(* (cbrt 3.0) (pow x 2))

series140.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
51.0ms
(* (cbrt 3.0) (pow x 2))

simplify3.0s

Counts
68 → 68
Iterations

Useful iterations: done (3.0s)

IterNodesCost
088801
1198736
2641541
32105457
done5000450

prune107.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
39×prod-exp
29×add-sqr-sqrt
20×cbrt-prod
19×associate-*l* cbrt-unprod
17×pow1
15×add-cbrt-cube
12×unswap-sqr
11×add-cube-cbrt *-un-lft-identity
10×associate-*r* sqrt-prod
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:
90.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2))))
30.0ms
(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2)))
19.0ms
(* (cbrt (sqrt 3.0)) (pow x 2))

series910.0ms

Counts
3 → 9
Calls
3 calls:
385.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2))))
284.0ms
(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (pow x 2)))
241.0ms
(* (cbrt (sqrt 3.0)) (pow x 2))

simplify875.0ms

Counts
111 → 111
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
01261678
12961523
211351144
done50001095

prune238.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample289.0ms

Algorithm
intervals
Results
137.0ms10579×body80valid