Details

Time bar (total: 2.0s)

analyze115.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
81.1%18.7%0.1%9
81.1%18.7%0.1%10
81.1%15.6%3.3%11
84.3%10.9%4.8%12
84.3%10.9%4.8%13
84.3%8.6%7.2%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254

prune3.0ms

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) 2.0)
0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
6.0ms
(/ (* x y) 2.0)
9.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series12.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
8.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune54.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (/ 2.0 y)) (/ z 8.0))
0.3b
(/ x (/ 2.0 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
65×add-sqr-sqrt
50×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
6×difference-of-squares
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1 distribute-lft-out--
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r/ frac-sub flip--
Counts
2 → 91
Calls
2 calls:
28.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
5.0ms
(/ x (/ 2.0 y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
4.0ms
(/ x (/ 2.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0440653
11589629
25002627

prune121.0ms

Filtered
79 candidates to 97 candidates (-22.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh202
Picked101
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 2.0 y) z)
9.1b
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/l*
2×associate-*l/ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down clear-num associate-/r* associate-/r/ *-commutative flip--
Counts
2 → 59
Calls
2 calls:
6.0ms
(* (/ 2.0 y) z)
9.0ms
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (/ 2.0 y) z)
11.0ms
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0369435
11875353
25001352

prune76.0ms

Filtered
48 candidates to 65 candidates (-35.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done011
Total65368

Merged error: 0b

Counts
68 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt x) (/ 2.0 (sqrt y)))
0.1b
(* (sqrt x) (sqrt y))
0.1b
(* (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ 2.0 (sqrt y))))
0.2b
(/ 2.0 (sqrt y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
291×add-sqr-sqrt
283×add-cube-cbrt *-un-lft-identity
274×sqrt-prod
143×associate-*r*
34×add-exp-log add-cbrt-cube
28×associate-/r*
16×div-inv
13×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
9×associate-/l*
7×associate-*l*
6×pow-prod-down
4×add-log-exp unswap-sqr
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r/ *-commutative
1×sqrt-unprod associate-*r/
Counts
4 → 405
Calls
4 calls:
9.0ms
(/ (sqrt x) (/ 2.0 (sqrt y)))
8.0ms
(* (sqrt x) (sqrt y))
29.0ms
(* (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ 2.0 (sqrt y))))
4.0ms
(/ 2.0 (sqrt y))

series45.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (sqrt x) (/ 2.0 (sqrt y)))
11.0ms
(* (sqrt x) (sqrt y))
6.0ms
(* (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ 2.0 (sqrt y))))
8.0ms
(/ 2.0 (sqrt y))

simplify70.0ms

Algorithm
egg-herbie
Counts
417 → 417
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
013693984
150013740

prune324.0ms

Filtered
220 candidates to 417 candidates (-89.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4170417
Fresh000
Picked011
Done022
Total4173420

Merged error: 0b

Counts
420 → 3

regimes288.0ms

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
0104
1104

end0.0ms

analyze113.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
81.1%18.7%0.1%9
81.1%18.7%0.1%10
81.1%15.6%3.3%11
84.3%10.9%4.8%12
84.3%10.9%4.8%13
84.3%8.6%7.2%14

sample416.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
15.0ms505×body80invalid

Profiling

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