Details

Time bar (total: 21.7s)

sample54.0ms

Algorithm
intervals
Results
18.0ms273×body80valid
14.0ms302×body80nan

simplify2.1s

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

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

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:
123.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (sqrt x))

series226.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
95.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ 1.0 (* x 9.0))
51.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
22268
1530
0215

prune520.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite163.0ms

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-cbrt-cube add-exp-log
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×clear-num frac-2neg associate--l+ frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
8.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
128.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms
(/ (/ y 3.0) (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series217.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
75.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
67.0ms
(/ (/ y 3.0) (sqrt x))
20.0ms
(/ 1.0 (* x 9.0))

simplify1.5s

Counts
184 → 184
Iterations
IterNodes
done5000
23466
1809
0336

prune952.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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

rewrite335.0ms

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-cbrt-cube add-exp-log
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×clear-num frac-2neg associate--l+ frac-sub associate-/l/
1×associate--l-
Counts
4 → 223
Calls
4 calls:
17.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
277.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
20.0ms
(/ (/ y 3.0) (sqrt x))
11.0ms
(/ (/ 1.0 x) 9.0)

series221.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
68.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
77.0ms
(/ (/ y 3.0) (sqrt x))
21.0ms
(/ (/ 1.0 x) 9.0)

simplify2.2s

Counts
235 → 235
Iterations
IterNodes
done5000
24633
11078
0436

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
1704×times-frac
823×add-sqr-sqrt
812×*-un-lft-identity
807×add-cube-cbrt
608×sqrt-prod
108×associate-/l*
66×div-inv
23×add-cbrt-cube add-exp-log
18×associate-/r*
12×cbrt-undiv div-exp
9×add-log-exp
5×difference-of-squares
4×pow1
3×clear-num frac-2neg diff-log distribute-lft-out-- associate-/l/
2×sub-neg flip3-- associate--l+ frac-sub flip--
1×associate--l-
Counts
4 → 846
Calls
4 calls:
2.0s
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
38.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
10.0ms
(/ (/ 1.0 x) (sqrt 9.0))
11.0ms
(/ (/ y 3.0) (sqrt x))

series459.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(- (- 1.0 (/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))) (/ (/ y 3.0) (sqrt x)))
139.0ms
(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
65.0ms
(/ (/ 1.0 x) (sqrt 9.0))
81.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.9s

Counts
858 → 858
Iterations
IterNodes
done5001
12505
01072

prune4.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample1.7s

Algorithm
intervals
Results
718.0ms8510×body80valid
562.0ms8431×body80nan