Details

Time bar (total: 3.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.8b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×add-log-exp
4×distribute-lft-out associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ div-inv difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 69
Calls
3 calls:
4.0ms
(/ (* x y) 2.0)
10.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* x y) 2.0)
34.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
68.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0358510
11495479
25001473

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
5.8b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
64×*-un-lft-identity
59×add-sqr-sqrt
54×add-cube-cbrt
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp distribute-lft-out
3×pow1 associate-/r/
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
3 → 118
Calls
3 calls:
18.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms
(/ x (/ 2.0 y))
14.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
19.0ms
(/ x (/ 2.0 y))
65.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0565876
12497841
25002841

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.3b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.7b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
101×*-un-lft-identity
78×add-sqr-sqrt
64×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
10×div-exp
8×div-inv associate-/l*
6×cbrt-undiv add-log-exp
5×pow1 difference-of-squares
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log prod-exp associate-/r/ flip-- cbrt-unprod flip-+ inv-pow
Counts
4 → 161
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
18.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
9.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series172.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* x y) 2.0)
38.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
58.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
56.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06101500
128771275
250031272

prune447.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.3b
(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×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 div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 317
Calls
4 calls:
7.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
18.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
61.0ms
(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
97.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))
107.0ms
(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08245529
132224926
250014840

prune493.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes48.0ms

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

sample339.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid