Details

Time bar (total: 15.5s)

sample76.0ms

Algorithm
intervals
Results
23.0ms271×body80valid
20.0ms270×body80nan

simplify1.8s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)))
0.2b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite134.0ms

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:
101.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
7.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
103.0ms
(/ y (* 3.0 (sqrt x)))
47.0ms
(* 3.0 (sqrt x))
21.0ms
(/ 1.0 (* x 9.0))

simplify956.0ms

Counts
97 → 97
Iterations
IterNodes
done5002
22291
1530
0215

prune487.0ms

Pruning

11 alts after pruning (11 fresh and 0 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
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite163.0ms

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:
127.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
17.0ms
(/ (/ y 3.0) (sqrt x))
12.0ms
(/ 1.0 (* x 9.0))

series211.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
103.0ms
(/ (/ y 3.0) (sqrt x))
27.0ms
(/ 1.0 (* x 9.0))

simplify1.3s

Counts
167 → 167
Iterations
IterNodes
done5001
23592
1799
0329

prune770.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite343.0ms

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:
294.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
22.0ms
(/ (/ y 3.0) (sqrt x))
9.0ms
(/ (/ 1.0 x) 9.0)

series195.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
84.0ms
(/ (/ y 3.0) (sqrt x))
31.0ms
(/ (/ 1.0 x) 9.0)

simplify1.6s

Counts
216 → 216
Iterations
IterNodes
done5001
24578
11057
0425

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

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 3.0) (/ y (sqrt x)))
0.4b
(/ 1.0 (* x 9.0))

rewrite151.0ms

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-- div-inv flip--
3×frac-times diff-log associate-*l/ associate-*r/
2×rec-exp clear-num sub-neg frac-2neg 1-exp associate--l+
1×associate--l- pow-prod-down *-commutative
Counts
4 → 150
Calls
4 calls:
99.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
5.0ms
(/ y (sqrt x))
31.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
6.0ms
(/ 1.0 (* x 9.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
65.0ms
(/ y (sqrt x))
93.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
25.0ms
(/ 1.0 (* x 9.0))

simplify2.1s

Counts
162 → 162
Iterations
IterNodes
done5002
24326
1811
0296

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.2s8505×body80valid
786.0ms8652×body80nan