Details

Time bar (total: 15.9s)

sample48.0ms

Algorithm
intervals
Results
13.0ms301×body80nan
13.0ms274×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37314
49614
513014
619314
744514
8111814
9448514
done500114

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite174.0ms

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:
144.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
27.0ms
(/ 1.0 (* x 9.0))
76.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: 2 (480.0ms)

IterNodesCost
02151191
15301096
222871004
done50001004

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
51×times-frac
37×*-un-lft-identity
35×add-cube-cbrt
28×associate-*r* sqrt-prod
25×associate-*l*
23×add-exp-log add-cbrt-cube
11×unswap-sqr
9×add-log-exp
8×pow1
6×cbrt-undiv div-exp prod-exp cbrt-unprod
3×diff-log div-inv associate-/l*
2×sub-neg flip3-- pow-prod-down associate--l+ *-commutative frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 136
Calls
4 calls:
42.0ms
(- (- 1.0 (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
23.0ms
(/ y (* 3.0 (sqrt x)))
46.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))
18.0ms
(* 3.0 (sqrt x))

series374.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(- (- 1.0 (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
81.0ms
(/ y (* 3.0 (sqrt x)))
101.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))
53.0ms
(* 3.0 (sqrt x))

simplify3.3s

Counts
148 → 148
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02932171
18291758
245331644
done50011598

prune551.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
8×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×associate-*l*
2×frac-2neg diff-log prod-exp clear-num cbrt-unprod distribute-lft-out-- unswap-sqr
1×associate--l- neg-sub0 sub-neg flip3-- distribute-rgt-neg-in pow-prod-down neg-log *-commutative frac-sub flip-- associate-/l/ distribute-neg-frac difference-of-squares
Counts
4 → 131
Calls
4 calls:
194.0ms
(- (- (/ (/ 1.0 9.0) x)) (/ y (* 3.0 (sqrt x))))
13.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ (/ 1.0 9.0) x)
10.0ms
(* 3.0 (sqrt x))

series297.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (- (/ (/ 1.0 9.0) x)) (/ y (* 3.0 (sqrt x))))
110.0ms
(/ y (* 3.0 (sqrt x)))
34.0ms
(/ (/ 1.0 9.0) x)
61.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
143 → 143
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02991743
17321622
231481526
done50011518

prune547.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
84×times-frac
51×add-cube-cbrt *-un-lft-identity
44×add-exp-log
32×add-cbrt-cube
28×associate-*r* sqrt-prod
25×associate-*l*
18×div-exp
11×cbrt-undiv unswap-sqr
10×associate-/r*
9×pow1 prod-exp
8×div-inv
7×cbrt-unprod
4×associate-/l* add-log-exp
3×rec-exp 1-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×frac-times pow-flip associate-*r/ associate-*l/ associate-/r/ inv-pow
Counts
4 → 172
Calls
4 calls:
22.0ms
(/ (* 3.0 (sqrt x)) y)
69.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))
15.0ms
(* 3.0 (sqrt x))
25.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series396.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (* 3.0 (sqrt x)) y)
128.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))
70.0ms
(* 3.0 (sqrt x))
103.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify578.0ms

Counts
184 → 184
Iterations

Useful iterations: done (565.0ms)

IterNodesCost
03312302
19461945
done50001801

prune586.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01620
12020
done2020

end0.0ms

sample2.1s

Algorithm
intervals
Results
895.0ms8672×body80nan
664.0ms8557×body80valid