Details

Time bar (total: 20.6s)

sample26.0ms

Algorithm
intervals
Results
13.0ms364×body80valid

simplify37.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x 3.0) x)
9.0b
(* (* (* x 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
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:
19.0ms
(* (* x 3.0) x)
68.0ms
(* (* (* x 3.0) x) y)

series73.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (* x 3.0) x)
34.0ms
(* (* (* x 3.0) x) y)

simplify5.2s

Counts
49 → 49
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
068435
1166422
2659336
32375336
done5000336

prune123.0ms

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))

rewrite33.0ms

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:
32.0ms
(* (* x 3.0) (* x y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* x 3.0) (* x y))

simplify5.6s

Counts
27 → 27
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
048287
1130279
2530209
32272209
done5000209

prune52.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:
65.0ms
(* x (* 3.0 (* x y)))
23.0ms
(* 3.0 (* x y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (* 3.0 (* x y)))
39.0ms
(* 3.0 (* x y))

simplify4.5s

Counts
49 → 49
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
062429
1154420
2595334
32545334
done5001334

prune83.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite372.0ms

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:
201.0ms
(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
127.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
36.0ms
(* (cbrt 3.0) (* x y))

series305.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(* x (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y))))
118.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* x y)))
73.0ms
(* (cbrt 3.0) (* x y))

simplify2.9s

Counts
97 → 97
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01031427
12711387
21178897
done5001669

prune162.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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

sample704.0ms

Algorithm
intervals
Results
466.0ms10559×body80valid