Details

Time bar (total: 12.0s)

sample22.0ms

Algorithm
intervals
Results
11.0ms303×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11911
23011
34511
46011
57411
68611
711911
814611
917111
1018711
1129411
1261211
13157811
14451711
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize11.0ms

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))

rewrite92.0ms

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:
53.0ms
(* x (+ (/ x y) 1.0))
37.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (+ (/ x y) 1.0))
58.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
60 → 60
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
0107759
1334731
22019643
done5000643

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite122.0ms

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:
49.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series137.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
85.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts
156 → 156
Iterations

Useful iterations: 2 (468.0ms)

IterNodesCost
02113002
15752840
232692706
done50012706

prune374.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite137.0ms

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:
23.0ms
(/ x (+ x 1.0))
108.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ x (+ x 1.0))
65.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.7s

Counts
87 → 87
Iterations

Useful iterations: 2 (462.0ms)

IterNodesCost
01451113
15171073
23094983
done5000983

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite187.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 460
Calls
3 calls:
11.0ms
(/ x (+ x 1.0))
86.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))
52.0ms
(/ 1 (+ (/ x y) 1.0))

series146.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ x (+ x 1.0))
61.0ms
(/ (/ x (+ x 1.0)) (/ 1 (+ (/ x y) 1.0)))
46.0ms
(/ 1 (+ (/ x y) 1.0))

simplify1.5s

Counts
469 → 469
Iterations

Useful iterations: done (1.5s)

IterNodesCost
057812376
1200310775
done50009815

prune883.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample906.0ms

Algorithm
intervals
Results
583.0ms9168×body80valid