Details

Time bar (total: 1.7s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms

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:
5.0ms
(/ x (+ x y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ x (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune60.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(/ x (+ x y))
0.0b
(expm1 (log1p (/ 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:
1.0ms
(log1p (/ x (+ x y)))
5.0ms
(/ x (+ x y))
1.0ms
(expm1 (log1p (/ x (+ x y))))

series177.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(log1p (/ x (+ x y)))
36.0ms
(/ x (+ x y))
76.0ms
(expm1 (log1p (/ x (+ x y))))

simplify79.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144250
1426229
21102229
33875229
45001229

prune125.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh101
Picked011
Done011
Total66369

Merged error: 0b

Counts
69 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
0.2b
(/ x (sqrt (+ x y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
196×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
1×associate-/l/
Counts
4 → 327
Calls
4 calls:
3.0ms
(sqrt (+ x y))
3.0ms
(sqrt (+ x y))
17.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
6.0ms
(/ x (sqrt (+ x y)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ x y))
39.0ms
(sqrt (+ x y))
67.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
70.0ms
(/ x (sqrt (+ x y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07433768
127133272
250023210

prune494.0ms

Filtered
339 candidates to 155 candidates (45.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3390339
Fresh000
Picked011
Done022
Total3393342

Merged error: 0b

Counts
342 → 3

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample239.0ms

Algorithm
intervals
Results
116.0ms8000×body80valid