Details

Time bar (total: 10.3s)

sample29.0ms

Algorithm
intervals
Results
9.0ms274×body80valid
7.0ms258×body80nan

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49214
510914
612414
715514
816614
done16614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.4b
(/ 1.0 (* x 9.0))

rewrite58.0ms

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:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(* 3.0 (sqrt x))
4.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ 1.0 (* x 9.0))

series168.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
44.0ms
(* 3.0 (sqrt x))
62.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))

simplify532.0ms

Counts
97 → 97
Iterations

Useful iterations: done (529.0ms)

IterNodesCost
02151191
15141096
216151004
done5001998

prune223.0ms

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

rewrite182.0ms

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:
162.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ y (* 3.0 (sqrt x)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
17.0ms
(/ (/ 1.0 x) 9.0)
45.0ms
(* 3.0 (sqrt x))
63.0ms
(/ y (* 3.0 (sqrt x)))

simplify934.0ms

Counts
146 → 146
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
03141868
17401729
220991633
done50011627

prune381.0ms

Pruning

9 alts after pruning (9 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))
0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.2b
(/ (/ 1.0 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite242.0ms

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:
17.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
199.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
10.0ms
(/ (/ y 3.0) (sqrt x))

series159.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
48.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify985.0ms

Counts
235 → 235
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
04363538
19993253
226803171
done50003164

prune599.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
1704×times-frac
823×add-sqr-sqrt
812×*-un-lft-identity
807×add-cube-cbrt
608×sqrt-prod
108×associate-/l*
66×div-inv
23×add-exp-log add-cbrt-cube
18×associate-/r*
12×cbrt-undiv div-exp
9×add-log-exp
5×difference-of-squares
4×pow1
3×frac-2neg diff-log clear-num associate-/l/ distribute-lft-out--
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l-
Counts
4 → 846
Calls
4 calls:
1.6s
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ 1.0 x) (sqrt 9.0))
35.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series348.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
64.0ms
(/ (/ 1.0 x) (sqrt 9.0))
96.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
68.0ms
(/ (/ y 3.0) (sqrt x))

simplify975.0ms

Counts
858 → 858
Iterations

Useful iterations: done (942.0ms)

IterNodesCost
0107218340
1244015955
done500015937

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11716
done1716

end0.0ms

sample806.0ms

Algorithm
intervals
Results
276.0ms8525×body80valid
251.0ms8510×body80nan