Details

Time bar (total: 10.2s)

sample64.0ms

Algorithm
intervals
Results
18.0ms270×body80valid
16.0ms256×body80nan

simplify168.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
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×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
158.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
28.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
11.0ms
(/ 1.0 (* x 9.0))

series227.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
92.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))
31.0ms
(/ 1.0 (* x 9.0))

simplify1.0s

Counts
97 → 97

prune387.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite383.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube 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×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
325.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
12.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(* 3.0 (sqrt x))

series237.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
27.0ms
(/ (/ 1.0 x) 9.0)
82.0ms
(/ y (* 3.0 (sqrt x)))
57.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
146 → 146

prune449.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))
0.4b
(/ (/ y 3.0) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite176.0ms

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-exp-log add-cbrt-cube
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×frac-2neg associate--l+ clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 172
Calls
4 calls:
11.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
132.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms
(/ (/ y 3.0) (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series187.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
58.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
59.0ms
(/ (/ y 3.0) (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify1.0s

Counts
184 → 184

prune689.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 0.1111111111111111 x))
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))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
9×add-cube-cbrt
6×pow1 associate-*r*
4×times-frac diff-log sqrt-prod distribute-lft-out--
3×sub-neg flip3-- associate-*l* flip-- associate-/l* difference-of-squares
2×cbrt-undiv div-exp prod-exp associate--l+ frac-sub cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
10.0ms
(- 1.0 (/ 0.1111111111111111 x))
97.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
11.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))

series188.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 1.0 (/ 0.1111111111111111 x))
53.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
58.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))

simplify757.0ms

Counts
91 → 91

prune296.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify127.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
974.0ms8208×body80nan
603.0ms8549×body80valid