Details

Time bar (total: 20.5s)

sample72.0ms

Algorithm
intervals
Results
23.0ms272×body80valid
22.0ms296×body80nan

simplify203.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

localize26.0ms

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))

rewrite64.0ms

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:
25.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
10.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
84.0ms
(/ y (* 3.0 (sqrt x)))
54.0ms
(* 3.0 (sqrt x))
33.0ms
(/ 1.0 (* x 9.0))

simplify3.7s

Counts
90 → 90
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0186843
1420777
21238691
34863681
done5000681

prune269.0ms

Pruning

8 alts after pruning (8 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))) (/ (/ 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))

rewrite243.0ms

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:
188.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
14.0ms
(/ (/ y 3.0) (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series195.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
35.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
84.0ms
(/ (/ y 3.0) (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify1.4s

Counts
184 → 184
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03362819
17652578
220132500
done50012483

prune663.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite420.0ms

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:
305.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
43.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
24.0ms
(/ (/ 1.0 x) 9.0)
28.0ms
(/ (/ y 3.0) (sqrt x))

series208.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
37.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
33.0ms
(/ (/ 1.0 x) 9.0)
72.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.9s

Counts
235 → 235
Iterations

Useful iterations: done (1.9s)

IterNodesCost
04363538
19933253
224293171
done50003154

prune809.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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 1) (/ (sqrt x) (/ y 3.0)))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
3902×times-frac
1686×add-sqr-sqrt
1679×*-un-lft-identity
1677×add-cube-cbrt
588×sqrt-prod
196×div-inv
99×associate-/r*
74×add-exp-log
60×div-exp
35×add-cbrt-cube
32×associate-/l*
21×cbrt-undiv
16×associate-/r/
15×1-exp
6×rec-exp add-log-exp
4×pow1
3×frac-2neg clear-num difference-of-squares
2×associate-/l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 1412
Calls
4 calls:
46.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
22.0ms
(/ (/ 1.0 x) 9.0)
22.0ms
(/ (sqrt x) (/ y 3.0))
69.0ms
(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
18.0ms
(/ (/ 1.0 x) 9.0)
98.0ms
(/ (sqrt x) (/ y 3.0))
78.0ms
(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

simplify5.3s

Counts
1424 → 1424
Iterations

Useful iterations: done (5.2s)

IterNodesCost
0189036299
1465424143
done500023873

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01518
11716
done1716

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8576×body80nan
731.0ms8533×body80valid