Details

Time bar (total: 1.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune46.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New36238
Fresh000
Picked101
Done000
Total37239

Merged error: 0b

Counts
39 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

series182.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
66.0ms
(log1p (/ x (+ x y)))
75.0ms
(expm1 (log1p (/ x (+ x y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144250
1426229
21102229
33875229
45001229

prune98.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done000
Total66268

Merged error: 0b

Counts
68 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
52×add-sqr-sqrt times-frac
36×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1 associate-/r* associate-/r/
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 108
Calls
2 calls:
18.0ms
(* (sqrt x) (/ (sqrt x) (+ x y)))
6.0ms
(/ (sqrt x) (+ x y))

series116.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (sqrt x) (/ (sqrt x) (+ x y)))
56.0ms
(/ (sqrt x) (+ x y))

simplify101.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0265718
11154638
24863614
35001614

prune141.0ms

Filtered
114 candidates to 67 candidates (58.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done011
Total1142116

Merged error: 0b

Counts
116 → 2

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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample268.0ms

Algorithm
intervals
Results
146.0ms8000×body80valid