Details

Time bar (total: 19.9s)

sample31.0ms

Algorithm
intervals
Results
16.0ms397×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
47.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.8s

Counts
28 → 28
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
057367
1161352
2594294
32367294
done5002294

prune70.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sum-log
1×+-commutative neg-sub0 associate-+r- flip3-+ associate-*l* unsub-neg neg-log *-commutative flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
38.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
31.0ms
(* (* x x) 3.0)

series177.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
40.0ms
(* (* x x) 3.0)

simplify3.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
067455
1182402
2745358
33748324
done5000324

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 40
Calls
2 calls:
22.0ms
(* (- 3.0 (* 2.0 x)) x)
29.0ms
(* x (* (- 3.0 (* 2.0 x)) x))

series233.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* (- 3.0 (* 2.0 x)) x)
105.0ms
(* x (* (- 3.0 (* 2.0 x)) x))

simplify2.3s

Counts
46 → 46
Iterations

Useful iterations: 3 (879.0ms)

IterNodesCost
068533
1166519
2580449
32290433
done5000433

prune88.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 93
Calls
4 calls:
40.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
45.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
10.0ms
(* x (sqrt 3.0))
10.0ms
(* x (sqrt 3.0))

series388.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
102.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
50.0ms
(* x (sqrt 3.0))
54.0ms
(* x (sqrt 3.0))

simplify4.7s

Counts
105 → 105
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0901070
1219738
2929650
34726612
done5001612

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11712
21912
done1912

end0.0ms

sample796.0ms

Algorithm
intervals
Results
534.0ms12023×body80valid