Details

Time bar (total: 9.0s)

sample36.0ms

Algorithm
intervals
Results
20.0ms282×body80valid

simplify1.6s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
10.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite87.0ms

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:
48.0ms
(* x (+ (/ x y) 1.0))
38.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (/ x y) 1.0))
49.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
56 → 56
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
0103719
1324695
21978607
done5000607

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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:
38.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
38.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series158.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
103.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts
152 → 152
Iterations

Useful iterations: 2 (396.0ms)

IterNodesCost
02072958
15632800
231522662
done50002662

prune370.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
54.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
88.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
63.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify797.0ms

Counts
87 → 87
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
01251298
13551240
217881128
done50021124

prune224.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) (- (/ x y) 1.0))
0.3b
(* (/ x y) (/ x y))
0.3b
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
17.2b
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×add-cube-cbrt
32×add-exp-log add-cbrt-cube
23×associate-*r*
20×associate-*l*
15×pow1
13×swap-sqr
10×prod-exp cbrt-unprod
9×frac-times associate-*r/
8×cbrt-undiv flip3-- div-exp associate-/r/ flip--
6×flip3-+ flip-+ unswap-sqr
5×associate-*l/ div-inv
4×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
3×pow-prod-down *-commutative difference-of-squares
2×associate-/l/
1×pow2 frac-2neg pow-plus clear-num associate-/r* pow-sqr pow-prod-up distribute-lft-out associate-/l* distribute-lft-out--
Counts
4 → 157
Calls
4 calls:
106.0ms
(* (+ x 1.0) (- (/ x y) 1.0))
41.0ms
(* (/ x y) (/ x y))
90.0ms
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
79.0ms
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (+ x 1.0) (- (/ x y) 1.0))
36.0ms
(* (/ x y) (/ x y))
85.0ms
(* x (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
128.0ms
(/ (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)))

simplify477.0ms

Counts
169 → 169
Iterations

Useful iterations: done (471.0ms)

IterNodesCost
02692965
19672797
done50002357

prune451.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b 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
11011
done1011

end0.0ms

sample1.2s

Algorithm
intervals
Results
870.0ms9161×body80valid