Details

Time bar (total: 13.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms331×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1137
2277
3397
4407
done407

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* x 3.0) y) y)
0.4b
(* (* x 3.0) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
21.0ms
(* (* (* x 3.0) y) y)
7.0ms
(* (* x 3.0) y)

series61.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (* (* x 3.0) y) y)
23.0ms
(* (* x 3.0) y)

simplify3.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
065435
1172422
2829336
34169336
done5000336

prune95.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x (* y 3.0)) y)
0.2b
(* x (* y 3.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
18.0ms
(* (* x (* y 3.0)) y)
6.0ms
(* x (* y 3.0))

series65.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (* x (* y 3.0)) y)
23.0ms
(* x (* y 3.0))

simplify4.2s

Counts
49 → 49
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
066434
1171423
2743337
34317337
done5000337

prune98.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 1 (* 3.0 (* x y))) y)
0.2b
(* 3.0 (* x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
22×prod-exp
21×pow1 add-cbrt-cube
13×pow-prod-down cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
3×1-exp
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 49
Calls
2 calls:
52.0ms
(* (* 1 (* 3.0 (* x y))) y)
6.0ms
(* 3.0 (* x y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* 1 (* 3.0 (* x y))) y)
23.0ms
(* 3.0 (* x y))

simplify3.5s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
087584
1241491
2810393
33876387
done5001387

prune101.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* 1 (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))) y)
0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
0.3b
(* (cbrt 3.0) (* x y))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
77×prod-exp
67×pow1
48×pow-prod-down cbrt-unprod
45×add-cbrt-cube
8×associate-*l*
7×1-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*r*
3×cbrt-prod expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
3 → 98
Calls
3 calls:
271.0ms
(* (* 1 (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))) y)
25.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
7.0ms
(* (cbrt 3.0) (* x y))

series234.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(* (* 1 (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))) y)
76.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
56.0ms
(* (cbrt 3.0) (* x y))

simplify708.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
01441769
14421585
215271023
done50001023

prune179.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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
067
197
done97

end0.0ms

sample360.0ms

Algorithm
intervals
Results
194.0ms10670×body80valid