Details

Time bar (total: 21.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1137
2287
3427
done427

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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:
70.0ms
(* (* (* x 3.0) y) y)
19.0ms
(* (* x 3.0) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* (* x 3.0) y) y)
27.0ms
(* (* x 3.0) y)

simplify4.6s

Counts
49 → 49
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
065435
1169422
2751336
33002336
done5000336

prune114.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:
69.0ms
(* (* 3.0 (* x y)) y)
17.0ms
(* 3.0 (* x y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (* 3.0 (* x y)) y)
32.0ms
(* 3.0 (* x y))

simplify5.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
065434
1163423
2702337
33106337
done5001337

prune111.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
36×add-cbrt-cube
8×associate-*l*
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 → 88
Calls
3 calls:
95.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
296.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))) y)
21.0ms
(* (cbrt 3.0) (* x y))

series370.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
152.0ms
(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))) y)
86.0ms
(* (cbrt 3.0) (* x y))

simplify2.4s

Counts
97 → 97
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01061431
12801389
21294899
done5000671

prune171.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
11×prod-exp
9×add-cbrt-cube
8×pow1 add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down cbrt-unprod
3×pow-exp
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr sqr-pow
1×pow-to-exp unpow-prod-down
Counts
2 → 47
Calls
2 calls:
23.0ms
(* (pow (* 3.0 (* x y)) 1) y)
25.0ms
(* 3.0 (* x y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (pow (* 3.0 (* x y)) 1) y)
37.0ms
(* 3.0 (* x y))

simplify5.5s

Counts
53 → 53
Iterations

Useful iterations: done (5.5s)

IterNodesCost
082526
1180437
2741388
34145388
done5001387

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample854.0ms

Algorithm
intervals
Results
354.0ms10644×body80valid