Details

Time bar (total: 21.8s)

sample28.0ms

Algorithm
intervals
Results
15.0ms364×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2267
3417
4457
done457

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x 3.0) x)
9.0b
(* (* (* x 3.0) x) y)

rewrite120.0ms

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:
36.0ms
(* (* x 3.0) x)
81.0ms
(* (* (* x 3.0) x) y)

series70.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (* x 3.0) x)
33.0ms
(* (* (* x 3.0) x) y)

simplify5.9s

Counts
49 → 49
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
068435
1166422
2659336
32375336
done5000336

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
29.0ms
(* (* x 3.0) (* x y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (* x 3.0) (* x y))

simplify5.4s

Counts
27 → 27
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
048287
1130279
2530209
32272209
done5000209

prune84.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
92.0ms
(* x (* 3.0 (* x y)))
34.0ms
(* 3.0 (* x y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (* 3.0 (* x y)))
43.0ms
(* 3.0 (* x y))

simplify4.8s

Counts
49 → 49
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
062429
1154420
2595334
32545334
done5001334

prune100.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
58×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
36×add-cbrt-cube
10×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×cbrt-prod expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
3 → 88
Calls
3 calls:
280.0ms
(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
90.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
20.0ms
(* (cbrt 3.0) (* x y))

series343.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
121.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
87.0ms
(* (cbrt 3.0) (* x y))

simplify3.0s

Counts
97 → 97
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01031427
12711387
21178897
done5001669

prune198.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

2.1% (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
067
197
done97

end0.0ms

sample807.0ms

Algorithm
intervals
Results
416.0ms10559×body80valid