Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms406×body80valid

simplify192.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014
done50014

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:
29.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify144.0ms

Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171170
1807140
24462140
35001140
done5001140

prune41.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-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:
12.0ms
(* 2.0 (pow x 3))
18.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
18.0ms
(* (* x x) 3.0)

series156.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 2.0 (pow x 3))
93.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms
(* (* x x) 3.0)

simplify55.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0292325
11517282
25001277
done5001277

prune122.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 64
Calls
3 calls:
12.0ms
(* 2.0 (pow x 3))
19.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
15.0ms
(* x (* x 3.0))

series160.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* 2.0 (pow x 3))
96.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
25.0ms
(* x (* x 3.0))

simplify52.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0279321
11424280
25001274
done5001274

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.3b
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
22.4b
(sqrt (* (* x x) 3.0))
22.4b
(sqrt (* (* x x) 3.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
18.0ms
(* (* x x) 3.0)
91.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
12.0ms
(sqrt (* (* x x) 3.0))
15.0ms
(sqrt (* (* x x) 3.0))

series161.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* x x) 3.0)
64.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
36.0ms
(sqrt (* (* x x) 3.0))
33.0ms
(sqrt (* (* x x) 3.0))

simplify39.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0178363
1921297
25001286
done5001286

prune159.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1206
2206
done206

end0.0ms

sample388.0ms

Algorithm
intervals
Results
224.0ms12091×body80valid