Details

Time bar (total: 15.4s)

sample35.0ms

Algorithm
intervals
Results
18.0ms380×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3809
41129
51179
61349
71779
83139
97719
1025119
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
59.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series139.0ms

Counts
1 → 3
Calls
1 calls:
139.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.2s

Counts
28 → 28
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
057367
1161352
2594294
32367294
done5002294

prune101.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
pow1 add-cube-cbrt *-un-lft-identity
add-log-exp
prod-exp
unswap-sqr
unpow-prod-down cube-prod associate-*l* cbrt-unprod
pow-prod-down
sum-log *-commutative sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
26.0ms
(* 2.0 (pow x 3))
42.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
51.0ms
(* (* x x) 3.0)

series217.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* 2.0 (pow x 3))
138.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
36.0ms
(* (* x x) 3.0)

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0110718
1275620
21029568
done5001536

prune194.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 3.0 (* 2.0 x)) x)
0.2b
(* x (* (- 3.0 (* 2.0 x)) x))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
flip3-- associate-*r/ *-commutative flip-- add-log-exp
unswap-sqr
Counts
2 → 40
Calls
2 calls:
23.0ms
(* (- 3.0 (* 2.0 x)) x)
44.0ms
(* x (* (- 3.0 (* 2.0 x)) x))

series209.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (- 3.0 (* 2.0 x)) x)
112.0ms
(* x (* (- 3.0 (* 2.0 x)) x))

simplify2.1s

Counts
46 → 46
Iterations

Useful iterations: 3 (877.0ms)

IterNodesCost
068533
1166519
2580449
32290433
done5000433

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (- 3.0 (* 2.0 x)) (* x x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity associate-*l/
flip3-- associate-*r* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
38.0ms
(* (- 3.0 (* 2.0 x)) (* x x))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(* (- 3.0 (* 2.0 x)) (* x x))

simplify1.3s

Counts
24 → 24
Iterations

Useful iterations: 3 (437.0ms)

IterNodesCost
049312
1132299
2451255
31804249
done5001249

prune44.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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
079
1109
done109

end0.0ms

sample1.1s

Algorithm
intervals
Results
830.0ms12013×body80valid