Details

Time bar (total: 14.9s)

sample83.0ms

Algorithm
intervals
Results
33.0ms316×body80nan
30.0ms277×body80valid

simplify1.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite118.0ms

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 insert-posit16
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 → 89
Calls
4 calls:
87.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series208.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
67.0ms
(/ y (* 3.0 (sqrt x)))
48.0ms
(* 3.0 (sqrt x))
32.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
101 → 101
Iterations
IterNodes
done5001
22291
1534
0219

prune379.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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

rewrite111.0ms

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 insert-posit16
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 → 138
Calls
4 calls:
71.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
12.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(* 3.0 (sqrt x))
12.0ms
(/ (/ 1.0 x) 9.0)

series226.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
81.0ms
(/ y (* 3.0 (sqrt x)))
53.0ms
(* 3.0 (sqrt x))
30.0ms
(/ (/ 1.0 x) 9.0)

simplify1.4s

Counts
150 → 150
Iterations
IterNodes
done5001
23472
1799
0318

prune800.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
108×add-sqr-sqrt
84×*-un-lft-identity
81×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
16×associate-/l*
13×associate-*l*
12×div-exp
9×associate-/r* add-log-exp unswap-sqr
8×cbrt-undiv prod-exp div-inv
6×pow1 frac-sub
4×flip3-- cbrt-unprod insert-posit16 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 associate-/l/
Counts
4 → 203
Calls
4 calls:
88.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
5.0ms
(/ y (sqrt x))
9.0ms
(/ (/ 1.0 x) 9.0)
28.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
54.0ms
(/ y (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)
70.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify901.0ms

Counts
215 → 215
Iterations
IterNodes
done5000
11064
0397

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))
0.5b
(/ 1.0 (* 9.0 x))

rewrite177.0ms

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-- insert-posit16 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 → 154
Calls
4 calls:
121.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
9.0ms
(/ y (sqrt x))
29.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
13.0ms
(/ 1.0 (* 9.0 x))

series265.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
55.0ms
(/ y (sqrt x))
109.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
34.0ms
(/ 1.0 (* 9.0 x))

simplify2.1s

Counts
166 → 166
Iterations
IterNodes
done5002
24194
1816
0301

prune804.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s8463×body80nan
1.1s8542×body80valid