Details

Time bar (total: 15.1s)

sample67.0ms

Algorithm
intervals
Results
21.0ms270×body80valid
18.0ms259×body80nan

simplify2.0s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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))

rewrite148.0ms

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))))
14.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))

series274.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
110.0ms
(/ y (* 3.0 (sqrt x)))
33.0ms
(/ 1.0 (* x 9.0))
54.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
22268
1530
0215

prune634.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite162.0ms

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:
129.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ 1.0 (* x 9.0))
14.0ms
(/ (/ y 3.0) (sqrt x))

series192.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
21.0ms
(/ 1.0 (* x 9.0))
88.0ms
(/ (/ y 3.0) (sqrt x))

simplify2.1s

Counts
167 → 167
Iterations
IterNodes
done5001
23745
1800
0329

prune809.0ms

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

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
138×add-sqr-sqrt
127×*-un-lft-identity
122×add-cube-cbrt
44×sqrt-prod
26×associate-/l*
13×add-cbrt-cube add-exp-log div-inv
9×associate-/r*
8×add-log-exp
6×cbrt-undiv div-exp
5×difference-of-squares
3×pow1 diff-log distribute-lft-out--
2×clear-num sub-neg frac-2neg flip3-- associate--l+ frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 207
Calls
3 calls:
348.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
23.0ms
(/ (/ 1.0 x) 9.0)
21.0ms
(/ (/ y 3.0) (sqrt x))

series172.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
21.0ms
(/ (/ 1.0 x) 9.0)
81.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.9s

Counts
216 → 216
Iterations
IterNodes
done5000
24168
11030
0425

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity
10×add-cbrt-cube add-exp-log
8×add-cube-cbrt add-log-exp
6×associate-*r*
5×pow1
4×sqrt-prod
3×times-frac diff-log associate-*l* associate-/l* distribute-lft-out--
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp associate--l+ frac-sub cbrt-unprod flip-- unswap-sqr
1×associate--l- clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv difference-of-squares
Counts
3 → 64
Calls
3 calls:
110.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
13.0ms
(/ y (* 3.0 (sqrt x)))
14.0ms
(* 3.0 (sqrt x))

series227.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
76.0ms
(/ y (* 3.0 (sqrt x)))
64.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
73 → 73
Iterations
IterNodes
done5000
21740
1445
0175

prune378.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes152.0ms

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

sample1.6s

Algorithm
intervals
Results
676.0ms8531×body80valid
465.0ms8414×body80nan