Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

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 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.9b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
17.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify158.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0268432
1956411
24728403
35002403

prune82.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New50454
Fresh000
Picked011
Done000
Total50555

Merged error: 0b

Counts
55 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.8b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
98×*-un-lft-identity
75×add-sqr-sqrt
61×add-cube-cbrt
19×associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp
7×div-inv associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log associate-/r/ flip-- flip-+ inv-pow
Counts
3 → 140
Calls
3 calls:
17.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
11.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05191413
122961203
250021194

prune129.0ms

Filtered
75 candidates to 149 candidates (-98.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh213
Picked101
Done011
Total1504154

Merged error: 0b

Counts
154 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
0.0b
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×associate-/r* associate-/l* difference-of-squares
2×flip3-+ div-exp associate-/r/ flip-+ div-inv distribute-lft-out--
1×cbrt-undiv +-commutative sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num sum-log flip-- inv-pow
Counts
3 → 61
Calls
3 calls:
8.0ms
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
3.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
5.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
5.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
9.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0309605
11221547
25001543

prune79.0ms

Filtered
43 candidates to 70 candidates (-62.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done011
Total70474

Merged error: 0b

Counts
74 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y)))
0.7b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.1b
(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
606×times-frac
357×*-un-lft-identity
292×add-sqr-sqrt
257×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out
35×div-inv
34×div-exp
31×associate-/r/
21×associate-/l*
17×associate-/r* add-cbrt-cube
15×flip3-+ flip-+
10×difference-of-squares
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg flip3-- pow-flip diff-log flip-- associate-/l/ distribute-lft-out-- inv-pow
Counts
3 → 357
Calls
3 calls:
57.0ms
(- x (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y)))
6.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
15.0ms
(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- x (/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y)))
10.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms
(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

simplify86.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015985014
150014447

prune366.0ms

Filtered
155 candidates to 366 candidates (-136.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3660366
Fresh011
Picked011
Done022
Total3664370

Merged error: 0b

Counts
370 → 4

regimes116.0ms

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

sample449.0ms

Algorithm
intervals
Results
252.0ms7998×body80valid
0.0ms2×body2560valid

Profiling

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