Details

Time bar (total: 10.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
11911
22811
34311
45411
56811
68111
710811
812211
912811
1013211
1114211
1234811
13173711
14499811
done500011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
8.3b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite50.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 54
Calls
2 calls:
31.0ms
(* x (+ (/ x y) 1.0))
17.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
46.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify620.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0107759
1304728
21264632
done5000632

prune117.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite55.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
25.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
22.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
64.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify847.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
02113002
15032812
219602698
done50002698

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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 expm1-log1p-u frac-times associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 81
Calls
2 calls:
6.0ms
(/ x (+ x 1.0))
46.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (+ x 1.0))
42.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify682.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
01451113
14711073
21563975
done5001975

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
49×times-frac
48×add-sqr-sqrt
36×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*l*
13×associate-*r*
11×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/ associate-/l*
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 127
Calls
3 calls:
6.0ms
(/ x (+ x 1.0))
5.0ms
(/ x (+ x 1.0))
23.0ms
(* (/ x (+ x 1.0)) (/ x y))

series101.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (+ x 1.0))
33.0ms
(/ x (+ x 1.0))
31.0ms
(* (/ x (+ x 1.0)) (/ x y))

simplify599.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
01661554
14721473
215831327
done50001327

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11317
done1317

end0.0ms

sample369.0ms

Algorithm
intervals
Results
231.0ms9156×body80valid