Details

Time bar (total: 9.9s)

sample20.0ms

Algorithm
intervals
Results
12.0ms287×body80valid

simplify402.0ms

Counts
1 → 1
Iterations
IterNodes
done112
12112
11111
10107
9103
897
792
673
562
447
339
226
119
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
10.2b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
48.0ms
(* x (+ (/ x y) 1.0))
31.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (/ x y) 1.0))
48.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done5022
21342
1322
0104

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
Counts
2 → 148
Calls
2 calls:
45.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
49.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
89.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts
154 → 154
Iterations
IterNodes
done5004
22119
1559
0208

prune464.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*r* associate-/r/ flip-+
3×associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
2 → 79
Calls
2 calls:
11.0ms
(/ x (+ x 1.0))
70.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ x (+ x 1.0))
69.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5004
22331
1504
0142

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.1b
(/ x (- (/ x y) 1.0))
0.1b
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
4.7b
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

rewrite357.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
90×add-sqr-sqrt
77×times-frac
45×add-cube-cbrt
34×add-cbrt-cube add-exp-log
30×associate-*r*
23×associate-*l*
18×distribute-lft-out
16×difference-of-squares
12×prod-exp cbrt-unprod
11×frac-times pow1
10×associate-/r*
8×cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- distribute-lft-out--
7×associate-*r/ associate-/l*
4×pow-prod-down insert-posit16 div-inv add-log-exp
3×flip3-+ flip-+
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in *-commutative unswap-sqr associate-/l/
Counts
4 → 195
Calls
4 calls:
53.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
30.0ms
(/ x (- (/ x y) 1.0))
107.0ms
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
160.0ms
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
76.0ms
(/ x (- (/ x y) 1.0))
72.0ms
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
60.0ms
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

simplify1.9s

Counts
207 → 207
Iterations
IterNodes
done5000
23541
1847
0284

prune719.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample678.0ms

Algorithm
intervals
Results
501.0ms9196×body80valid