Details

Time bar (total: 6.2s)

sample41.0ms

Algorithm
intervals
Results
13.0ms278×body80valid
10.0ms249×body80nan

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49214
510914
612414
715514
816414
done16414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ 1.0 (* x 9.0))
6.0ms
(* 3.0 (sqrt x))

series28.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify757.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
02141221
15301124
217441040
done50011040

prune168.0ms

Filtered
71 candidates to 97 candidates (-36.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh000
Picked101
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:
23.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
6.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

simplify883.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (399.0ms)

IterNodesCost
03131898
17551757
222271669
done50001669

prune225.0ms

Filtered
113 candidates to 146 candidates (-29.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh246
Picked011
Done000
Total1476153

Merged error: 0.0b

Counts
153 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
13×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
7×associate-/r*
5×cbrt-undiv div-exp difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
38.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ (/ y 3.0) (sqrt x))
5.0ms
(/ 1.0 (* x 9.0))

series20.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
9.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify984.0ms

Counts
167 → 167
Iterations

Useful iterations: done (979.0ms)

IterNodesCost
03282633
17662411
222232343
done50002339

prune214.0ms

Filtered
112 candidates to 167 candidates (-49.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1670167
Fresh044
Picked011
Done011
Total1676173

Merged error: 0.0b

Counts
173 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- flip-- div-inv
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp associate--l+ clear-num
1×associate--l- pow-prod-down *-commutative
Counts
4 → 150
Calls
4 calls:
11.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms
(/ y (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify1.0s

Counts
162 → 162
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03002297
17831963
224761805
done50011791

prune183.0ms

Filtered
111 candidates to 162 candidates (-45.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh033
Picked011
Done022
Total1626168

Merged error: 0.0b

Counts
168 → 6

regimes96.0ms

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

sample1.2s

Algorithm
intervals
Results
401.0ms8581×body80valid
348.0ms8396×body80nan

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