Details

Time bar (total: 14.5s)

sample65.0ms

Algorithm
intervals
Results
17.0ms285×body80nan
16.0ms267×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
94385
81130
7455
6200
5134
498
373
247
124
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
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×clear-num associate-/r* sub-neg frac-2neg flip3-- associate--l+ frac-sub div-inv flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
118.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series244.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
89.0ms
(/ y (* 3.0 (sqrt x)))
71.0ms
(* 3.0 (sqrt x))
33.0ms
(/ 1.0 (* x 9.0))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5002
22291
1530
0215

prune645.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ 0.1111111111111111 x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
10×*-un-lft-identity add-cbrt-cube add-exp-log
8×add-cube-cbrt
6×associate-*r*
5×pow1 add-log-exp
4×times-frac sqrt-prod
3×associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log pow-prod-down *-commutative div-inv flip-- distribute-lft-out--
Counts
3 → 58
Calls
3 calls:
14.0ms
(- 1.0 (/ 0.1111111111111111 x))
7.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- 1.0 (/ 0.1111111111111111 x))
81.0ms
(/ y (* 3.0 (sqrt x)))
47.0ms
(* 3.0 (sqrt x))

simplify1.0s

Counts
67 → 67
Iterations
IterNodes
done5000
21379
1359
0151

prune385.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-cbrt-cube add-exp-log 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×clear-num sub-neg frac-2neg flip3-- prod-exp associate--l+ frac-sub cbrt-unprod flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares associate-/l/
Counts
4 → 134
Calls
4 calls:
213.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
15.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ (/ 1.0 x) 9.0)
21.0ms
(* 3.0 (sqrt x))

series283.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
96.0ms
(/ y (* 3.0 (sqrt x)))
28.0ms
(/ (/ 1.0 x) 9.0)
69.0ms
(* 3.0 (sqrt x))

simplify1.6s

Counts
146 → 146
Iterations
IterNodes
done5000
23345
1780
0314

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite193.0ms

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-cbrt-cube add-exp-log
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×clear-num sub-neg frac-2neg flip3-- associate--l+ frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 158
Calls
3 calls:
154.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ 1.0 (* x 9.0))
19.0ms
(/ (/ y 3.0) (sqrt x))

series211.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
33.0ms
(/ 1.0 (* x 9.0))
109.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts
167 → 167
Iterations
IterNodes
done5001
23745
1800
0329

prune941.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample2.1s

Algorithm
intervals
Results
962.0ms8534×body80valid
562.0ms8665×body80nan