Details

Time bar (total: 14.1s)

sample29.0ms

Algorithm
intervals
Results
16.0ms293×body80valid

simplify203.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11911
22711
34011
44711
56111
67311
710311
810811
911411
1011811
1112611
1212911
1313111
done13111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.1b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite114.0ms

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:
59.0ms
(* x (+ (/ x y) 1.0))
54.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series75.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (/ x y) 1.0))
45.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0103719
1292689
21068593
34290591
done5001591

prune151.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite118.0ms

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:
47.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
56.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series158.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
110.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts
152 → 152
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02072958
14792772
216742658
done50002646

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x (- (/ x y) 1.0))
0.1b
(/ (+ 1.0 (/ x y)) (+ x 1.0))
0.2b
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
5.2b
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
90×add-sqr-sqrt
77×times-frac
45×add-cube-cbrt
34×add-exp-log add-cbrt-cube
30×associate-*r*
23×associate-*l*
18×distribute-lft-out
16×difference-of-squares
12×prod-exp cbrt-unprod
11×pow1 frac-times
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 div-inv add-log-exp
3×flip3-+ flip-+
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num *-commutative associate-/l/ unswap-sqr
Counts
4 → 191
Calls
4 calls:
24.0ms
(/ x (- (/ x y) 1.0))
43.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
105.0ms
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
168.0ms
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ x (- (/ x y) 1.0))
37.0ms
(/ (+ 1.0 (/ x y)) (+ x 1.0))
62.0ms
(* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0))
49.0ms
(* (* (/ (+ 1.0 (/ x y)) (+ x 1.0)) (- (/ x y) 1.0)) (/ x (- (/ x y) 1.0)))

simplify2.1s

Counts
203 → 203
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02804165
17674057
231073557
done50003556

prune532.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
3.2b
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
8.1b
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
1482×times-frac
895×add-sqr-sqrt
877×*-un-lft-identity
523×add-cube-cbrt
249×difference-of-squares
105×distribute-lft-out
78×associate-/l*
72×distribute-lft-out--
62×associate-/r/
39×div-inv
32×add-exp-log associate-/r* add-cbrt-cube
27×flip3-- flip--
14×cbrt-undiv div-exp
13×swap-sqr associate-*r* associate-*l*
11×pow1
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
1×pow2 frac-times flip3-+ pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-+
Counts
4 → 735
Calls
4 calls:
32.0ms
(* (/ x y) (/ x y))
61.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
68.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
150.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

series426.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ x y) (/ x y))
121.0ms
(/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))))
136.0ms
(/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
122.0ms
(/ (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (- (/ x y) 1.0))

simplify1.9s

Counts
747 → 747
Iterations

Useful iterations: done (1.9s)

IterNodesCost
099829433
1260327863
done500027293

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample773.0ms

Algorithm
intervals
Results
486.0ms9147×body80valid