Details

Time bar (total: 7.2s)

sample394.0ms

Algorithm
intervals
Results
386.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite19.0ms

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:
16.0ms
(/ x (+ x y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (+ x y))

simplify1.8s

Counts
38 → 38
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
061336
1131317
2433299
32441299
done5001299

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(log1p (expm1 (/ x (+ x y))))
0.5b
(expm1 (/ x (+ x y)))

rewrite17.0ms

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×associate-/r* log1p-expm1-u distribute-lft-out
3×pow1 expm1-log1p-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:
15.0ms
(/ x (+ x y))
0.0ms
(log1p (expm1 (/ x (+ x y))))
1.0ms
(expm1 (/ x (+ x y)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ x (+ x y))
99.0ms
(log1p (expm1 (/ x (+ x y))))
94.0ms
(expm1 (/ x (+ x y)))

simplify2.1s

Counts
66 → 66
Iterations

Useful iterations: 3 (562.0ms)

IterNodesCost
082540
1165495
2470457
32192455
done5000455

prune232.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (* x (/ 1 (+ x y)))))
0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))
0.5b
(expm1 (* x (/ 1 (+ x y))))

rewrite61.0ms

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×log1p-expm1-u
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ 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:
4.0ms
(log1p (expm1 (* x (/ 1 (+ x y)))))
12.0ms
(/ 1 (+ x y))
41.0ms
(* x (/ 1 (+ x y)))
1.0ms
(expm1 (* x (/ 1 (+ x y))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(log1p (expm1 (* x (/ 1 (+ x y)))))
37.0ms
(/ 1 (+ x y))
55.0ms
(* x (/ 1 (+ x y)))
83.0ms
(expm1 (* x (/ 1 (+ x y))))

simplify1.0s

Counts
116 → 116
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01201039
1285879
21285703
done5000701

prune304.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample548.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid