Details

Time bar (total: 10.6s)

sample24.0ms

Algorithm
intervals
Results
13.0ms303×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11911
22811
34111
45211
56611
67811
710811
812411
913711
1014311
1124811
1253811
13142111
14395711
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
81.0ms
(* x (+ (/ x y) 1.0))
59.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series99.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (+ (/ x y) 1.0))
65.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
56 → 56
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
0103719
1324695
21978607
done5000607

prune198.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite139.0ms

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-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
65.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
61.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series180.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
117.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: 2 (824.0ms)

IterNodesCost
02072958
15632800
231522662
done50002662

prune308.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out
4×pow1 flip3-+ associate-*r* associate-/r* associate-/r/ flip-+
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 77
Calls
2 calls:
14.0ms
(/ x (+ x 1.0))
72.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series102.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ x (+ x 1.0))
54.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.6s

Counts
83 → 83
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01411077
15021041
22877949
done5000947

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
804×times-frac
569×*-un-lft-identity
325×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
81×associate-/r/
41×div-inv
40×flip3-+ flip-+
31×add-exp-log
26×associate-/r*
24×associate-/l*
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 454
Calls
3 calls:
11.0ms
(/ x (+ x 1.0))
72.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))
36.0ms
(/ 1 (+ (/ x y) 1.0))

series168.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (+ x 1.0))
65.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))
58.0ms
(/ 1 (+ (/ x y) 1.0))

simplify1.1s

Counts
463 → 463
Iterations

Useful iterations: done (1.1s)

IterNodesCost
057212320
1198810812
done50019796

prune722.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample698.0ms

Algorithm
intervals
Results
438.0ms9168×body80valid