Details

Time bar (total: 14.8s)

sample64.0ms

Algorithm
intervals
Results
17.0ms272×body80valid
16.0ms296×body80nan

simplify184.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ y (* 3.0 (sqrt x)))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×add-cube-cbrt
6×pow1 times-frac associate-*r* associate-/l* add-log-exp
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
12.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
15.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

series228.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
96.0ms
(/ y (* 3.0 (sqrt x)))
52.0ms
(* 3.0 (sqrt x))
34.0ms
(/ 1.0 (* x 9.0))

simplify3.1s

Counts
90 → 90
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0186843
1420777
21238691
34863681
done5000681

prune222.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(/ 1.0 (* x 9.0))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
101×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
9×div-inv
7×associate-/r*
6×difference-of-squares
5×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
127.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
11.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
13.0ms
(/ (/ y 3.0) (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series180.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
34.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
65.0ms
(/ (/ y 3.0) (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.6s

Counts
184 → 184
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03362819
17652578
220132500
done50012483

prune493.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.0b
(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite414.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
148×add-sqr-sqrt
130×*-un-lft-identity
123×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
14×add-exp-log add-cbrt-cube
13×div-inv
11×add-log-exp
9×associate-/r*
8×difference-of-squares
6×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg associate--l+ clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 223
Calls
4 calls:
319.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
36.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
25.0ms
(/ (/ 1.0 x) 9.0)
18.0ms
(/ (/ y 3.0) (sqrt x))

series198.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
37.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
27.0ms
(/ (/ 1.0 x) 9.0)
70.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts
235 → 235
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04363538
19933253
224293171
done50003154

prune705.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b
(/ (/ 1.0 x) 9.0)
0.2b
(/ (sqrt x) (/ y 3.0))
0.9b
(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
996×times-frac
492×add-sqr-sqrt
485×*-un-lft-identity
483×add-cube-cbrt
198×sqrt-prod
99×associate-/r*
42×div-inv
35×add-exp-log
23×add-cbrt-cube
22×associate-/l*
21×div-exp
12×cbrt-undiv
6×associate-/r/ add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num difference-of-squares
1×sub-neg flip3-- pow-flip diff-log flip-- associate-/l/ distribute-lft-out-- inv-pow
Counts
4 → 558
Calls
4 calls:
22.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(/ (sqrt x) (/ y 3.0))
29.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
30.0ms
(/ (/ 1.0 x) 9.0)
92.0ms
(/ (sqrt x) (/ y 3.0))
68.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify2.2s

Counts
570 → 570
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
080110189
118028358
240757634
done50017634

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (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
01416
11616
done1616

end0.0ms

sample1.9s

Algorithm
intervals
Results
690.0ms8533×body80valid
549.0ms8576×body80nan