Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms255×body80valid
0.0ms1×body2560valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune4.0ms

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

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)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify159.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0268432
1956411
24728403
35002403

prune91.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh000
Picked011
Done000
Total51455

Merged error: 0.0b

Counts
55 → 4

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))
6.2b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite38.0ms

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))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series145.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
59.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05191413
122961203
250021194

prune158.0ms

Filtered
149 candidates to 75 candidates (50.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1481149
Fresh112
Picked101
Done011
Total1503153

Merged error: 0b

Counts
153 → 3

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))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
34.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
53.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0309605
11221547
25001543

prune89.0ms

Filtered
70 candidates to 43 candidates (61.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done011
Total70373

Merged error: 0b

Counts
73 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
17×*-un-lft-identity
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
9×add-exp-log flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
6×times-frac sqrt-prod associate-/l*
4×pow1 frac-times add-log-exp
3×pow1/3 distribute-lft-out
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
13.0ms
(/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
8.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
238.0ms
(/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
256.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
249.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
256.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04671207
114821117
250011100

prune274.0ms

Filtered
89 candidates to 74 candidates (83.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3

regimes46.0ms

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

sample375.0ms

Algorithm
intervals
Results
248.0ms7997×body80valid
1.0ms3×body2560valid

Profiling

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