Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

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

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite14.0ms

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:
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify136.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0208294
1791273
24035265
35003264

prune62.0ms

Filtered
38 candidates to 28 candidates (73.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
99×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
18×distribute-lft-out
15×add-exp-log
13×associate-/l*
12×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv clear-num associate-/l/
3×pow1 frac-2neg remove-double-div
2×expm1-log1p-u rec-exp flip3-+ 1-exp flip-+ log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 139
Calls
2 calls:
18.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
15.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series119.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
56.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04741259
122011135
250011002

prune147.0ms

Filtered
145 candidates to 72 candidates (49.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh011
Picked011
Done011
Total1453148

Merged error: 0b

Counts
148 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.1b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.1b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
46×times-frac
40×sqrt-prod
38×add-cube-cbrt
14×associate-/r*
10×add-exp-log distribute-lft-out
8×pow1 sqrt-div add-cbrt-cube
6×hypot-def associate-/l*
4×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv unswap-sqr
1×rec-exp 1-exp inv-pow
Counts
4 → 142
Calls
4 calls:
189.0ms
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
14.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
13.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
14.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series651.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
201.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
115.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
138.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04501311
118241172
250011127

prune261.0ms

Filtered
154 candidates to 95 candidates (61.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done022
Total1543157

Merged error: 0b

Counts
157 → 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
0115
1115

end0.0ms

sample346.0ms

Algorithm
intervals
Results
214.0ms7999×body80valid
0.0ms1×body160valid