Details

Time bar (total: 17.0s)

sample39.0ms

Algorithm
intervals
Results
11.0ms273×body80valid
10.0ms266×body80nan

simplify156.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.6b
(/ 1.0 (* x 9.0))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
138.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
20.0ms
(* 3.0 (sqrt x))
14.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))

series234.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
56.0ms
(* 3.0 (sqrt x))
81.0ms
(/ y (* 3.0 (sqrt x)))
28.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02151191
15111096
215561004
done5001981

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.6b
(/ 1.0 (* x 9.0))

rewrite244.0ms

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:
16.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
181.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
19.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

series222.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
70.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
79.0ms
(/ (/ y 3.0) (sqrt x))
25.0ms
(/ 1.0 (* x 9.0))

simplify1.3s

Counts
184 → 184
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03362819
17652578
220132500
done50002483

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
273.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
16.0ms
(/ (/ 1.0 x) 9.0)
18.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(* 3.0 (sqrt x))

series209.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
25.0ms
(/ (/ 1.0 x) 9.0)
73.0ms
(/ y (* 3.0 (sqrt x)))
46.0ms
(* 3.0 (sqrt x))

simplify1.5s

Counts
146 → 146
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03141868
17351729
219511633
done50001610

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.3b
(/ y (cbrt 3.0))
0.6b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
0.6b
(/ 1.0 (* x 9.0))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
3572×times-frac
1418×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
205×div-inv
166×associate-/r*
94×add-exp-log
60×div-exp
41×add-cbrt-cube
30×cbrt-undiv
19×associate-/l*
10×prod-exp associate-/r/
6×rec-exp 1-exp
4×pow1 frac-2neg clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
4 → 1380
Calls
4 calls:
15.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
6.0ms
(/ y (cbrt 3.0))
94.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
15.0ms
(/ 1.0 (* x 9.0))

series434.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
82.0ms
(/ y (cbrt 3.0))
142.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
37.0ms
(/ 1.0 (* x 9.0))

simplify3.7s

Counts
1392 → 1392
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0163040724
1453036267
done500036033

prune3.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

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
01214
11314
done1314

end0.0ms

sample2.0s

Algorithm
intervals
Results
972.0ms8624×body80nan
537.0ms8526×body80valid