Details

Time bar (total: 7.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
11911
22911
34411
45511
56911
68211
710911
812311
912911
1013311
1115811
1240711
13200911
done500011

prune2.0ms

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))

rewrite49.0ms

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:
28.0ms
(* x (+ (/ x y) 1.0))
19.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ (/ x y) 1.0))
47.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify531.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0107759
1314728
21432632
done5000632

prune120.0ms

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))

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-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:
22.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series116.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify743.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
02113002
15102812
222692698
done50002698

prune287.0ms

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))

rewrite49.0ms

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:
5.0ms
(/ x (+ x 1.0))
41.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (+ x 1.0))
47.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify690.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
01451113
14811073
21911975
done5000975

prune170.0ms

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))

rewrite38.0ms

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:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ x (+ x 1.0))
23.0ms
(* (/ x (+ x 1.0)) (/ x y))

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ x (+ x 1.0))
39.0ms
(/ x (+ x 1.0))
32.0ms
(* (/ x (+ x 1.0)) (/ x y))

simplify810.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
01661554
14831473
220611327
done50011327

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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

sample370.0ms

Algorithm
intervals
Results
230.0ms9156×body80valid