Details

Time bar (total: 1.8s)

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

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

simplify78.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune71.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
298×*-un-lft-identity
224×sqrt-prod
186×add-sqr-sqrt add-cube-cbrt
56×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
10×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 289
Calls
2 calls:
20.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
6.0ms
(/ x (sqrt (+ x y)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ x (sqrt (+ x y))) (sqrt (+ x y)))
75.0ms
(/ x (sqrt (+ x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
06973578
125823104
250013048

prune512.0ms

Filtered
295 candidates to 121 candidates (41.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* x (/ 1 (sqrt (+ x y)))) (sqrt (+ x y)))
0.1b
(/ 1 (sqrt (+ x y)))
0.1b
(* x (/ 1 (sqrt (+ x y))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
53×times-frac
50×add-sqr-sqrt
38×add-cube-cbrt sqrt-prod
31×add-exp-log
27×associate-*r*
19×add-cbrt-cube
14×associate-/r*
11×div-exp
9×distribute-lft-out
8×prod-exp
7×pow1
6×cbrt-undiv sqrt-div associate-/r/
5×unswap-sqr
4×cbrt-unprod associate-/l*
3×expm1-log1p-u rec-exp pow-flip flip3-+ 1-exp associate-*l* flip-+ log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×sqrt-pow1 pow1/2 pow-prod-down *-commutative inv-pow
Counts
3 → 146
Calls
3 calls:
14.0ms
(/ (* x (/ 1 (sqrt (+ x y)))) (sqrt (+ x y)))
7.0ms
(/ 1 (sqrt (+ x y)))
20.0ms
(* x (/ 1 (sqrt (+ x y))))

series195.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (* x (/ 1 (sqrt (+ x y)))) (sqrt (+ x y)))
56.0ms
(/ 1 (sqrt (+ x y)))
76.0ms
(* x (/ 1 (sqrt (+ x y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04861019
12421824
25001732

prune215.0ms

Filtered
155 candidates to 83 candidates (53.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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

sample257.0ms

Algorithm
intervals
Results
133.0ms8000×body80valid