Details

Time bar (total: 8.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ x (+ x y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ x (+ x y))

simplify2.7s

Counts
38 → 38
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
061336
1128317
2373299
31003299
43231299
done5001299

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(expm1 (log1p (/ x (+ x y))))
0.0b
(/ x (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
0.0ms
(log1p (/ x (+ x y)))
0.0ms
(expm1 (log1p (/ x (+ x y))))
6.0ms
(/ x (+ x y))

series181.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(log1p (/ x (+ x y)))
75.0ms
(expm1 (log1p (/ x (+ x y))))
42.0ms
(/ x (+ x y))

simplify2.5s

Counts
66 → 66
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
082538
1151493
2403453
31033453
43263453
done5000453

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (* x (/ 1 (+ x y))))
0.0b
(expm1 (log1p (* x (/ 1 (+ x y)))))
0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
5×expm1-log1p-u
4×div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×log1p-udef expm1-log1p pow-flip frac-2neg log1p-expm1 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow expm1-udef
Counts
4 → 104
Calls
4 calls:
0.0ms
(log1p (* x (/ 1 (+ x y))))
0.0ms
(expm1 (log1p (* x (/ 1 (+ x y)))))
6.0ms
(/ 1 (+ x y))
17.0ms
(* x (/ 1 (+ x y)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(log1p (* x (/ 1 (+ x y))))
77.0ms
(expm1 (log1p (* x (/ 1 (+ x y)))))
33.0ms
(/ 1 (+ x y))
44.0ms
(* x (/ 1 (+ x y)))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
01201037
1263815
2792695
31825695
done5000695

prune197.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample248.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid