Details

Time bar (total: 6.7s)

sample39.0ms

Algorithm
intervals
Results
27.0ms291×body80valid

simplify136.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.6b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite57.0ms

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:
27.0ms
(* x (+ (/ x y) 1.0))
29.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ (/ x y) 1.0))
48.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify540.0ms

Counts
58 → 58
Iterations
IterNodes
done2014
21342
1322
0104

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite49.0ms

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:
20.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
24.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series120.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
69.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify515.0ms

Counts
154 → 154
Iterations
IterNodes
done2000
1559
0208

prune454.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:
15.0ms
(/ x (+ x 1.0))
54.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series111.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ x (+ x 1.0))
60.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify419.0ms

Counts
85 → 85
Iterations
IterNodes
done2001
1504
0142

prune240.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
812×times-frac
619×*-un-lft-identity
343×add-sqr-sqrt add-cube-cbrt
138×distribute-lft-out
77×associate-/r*
35×associate-/r/
31×add-exp-log
29×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
18×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
1×pow-flip inv-pow
Counts
3 → 457
Calls
3 calls:
32.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
28.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
34.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series253.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
83.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))
54.0ms
(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify990.0ms

Counts
466 → 466
Iterations
IterNodes
done2000
11483
0513

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample1.1s

Algorithm
intervals
Results
861.0ms9166×body80valid