Details

Time bar (total: 9.7s)

sample32.0ms

Algorithm
intervals
Results
9.0ms275×body80valid
8.0ms290×body80nan

simplify86.0ms

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)))
0.3b
(/ 1.0 (* x 9.0))

rewrite55.0ms

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:
42.0ms
(- (- 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)))
3.0ms
(/ 1.0 (* x 9.0))

series175.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
44.0ms
(* 3.0 (sqrt x))
61.0ms
(/ y (* 3.0 (sqrt x)))
21.0ms
(/ 1.0 (* x 9.0))

simplify827.0ms

Counts
97 → 97
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
02151191
15141096
216131004
done5001998

prune254.0ms

Pruning

10 alts after pruning (10 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)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite94.0ms

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:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
70.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series171.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
24.0ms
(/ 1.0 (* x 9.0))
63.0ms
(/ (/ y 3.0) (sqrt x))

simplify848.0ms

Counts
184 → 184
Iterations

Useful iterations: done (836.0ms)

IterNodesCost
03362819
17692578
221832500
done50002493

prune469.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

rewrite231.0ms

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:
16.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
191.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series173.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
48.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
18.0ms
(/ (/ 1.0 x) 9.0)
67.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.1s

Counts
235 → 235
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04363538
19993253
226783171
done50003164

prune645.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (sqrt x) (/ y 3.0))
0.7b
(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
943×times-frac
482×add-sqr-sqrt
456×*-un-lft-identity
443×add-cube-cbrt
202×sqrt-prod
97×associate-/r*
40×div-inv
35×add-exp-log
23×add-cbrt-cube
20×div-exp
12×associate-/l*
11×cbrt-undiv difference-of-squares
9×add-log-exp
6×associate-/r/ distribute-lft-out--
5×pow1
3×rec-exp frac-2neg diff-log 1-exp clear-num
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l- pow-flip prod-exp cbrt-unprod inv-pow
Counts
4 → 526
Calls
4 calls:
136.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
3.0ms
(/ 1.0 (* x 9.0))
6.0ms
(/ (sqrt x) (/ y 3.0))
21.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ 1 (/ (sqrt x) (/ y 3.0))))
18.0ms
(/ 1.0 (* x 9.0))
74.0ms
(/ (sqrt x) (/ y 3.0))
69.0ms
(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify2.3s

Counts
538 → 538
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
074110308
117658470
244167662
done50007662

prune892.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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
done1214

end0.0ms

sample827.0ms

Algorithm
intervals
Results
283.0ms8545×body80valid
249.0ms8558×body80nan