Details

Time bar (total: 2.5s)

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

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms18×body80invalid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
03669
13669

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

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))

rewrite15.0ms

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 → 36
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
10.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series11.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04992403
14992403

prune57.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 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))

rewrite40.0ms

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 → 90
Calls
2 calls:
31.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
5.0ms
(/ x (/ 2.0 y))

series11.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049421140
149421140

prune147.0ms

Filtered
81 candidates to 96 candidates (-18.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh112
Picked101
Done011
Total973100

Merged error: 0b

Counts
100 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
0.2b
(* x (/ y (sqrt 2.0)))
0.4b
(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
0.5b
(/ y (sqrt 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
45×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
28×sqrt-prod
22×associate-*r*
20×add-exp-log add-cbrt-cube
12×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num difference-of-squares
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- associate-/l/ distribute-lft-out--
Counts
4 → 126
Calls
4 calls:
15.0ms
(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
9.0ms
(* x (/ y (sqrt 2.0)))
7.0ms
(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
4.0ms
(/ y (sqrt 2.0))

series48.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
10.0ms
(* x (/ y (sqrt 2.0)))
13.0ms
(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049231163
149231163

prune202.0ms

Filtered
89 candidates to 138 candidates (-55.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 2.0 y))
0.1b
(/ 1 (sqrt (/ 2.0 y)))
0.1b
(/ x (sqrt (/ 2.0 y)))
0.2b
(* (/ 1 (sqrt (/ 2.0 y))) (/ x (sqrt (/ 2.0 y))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
388×times-frac
298×add-sqr-sqrt
225×sqrt-prod
203×*-un-lft-identity
191×add-cube-cbrt
53×associate-*r* associate-*l*
32×add-exp-log associate-/r*
28×unswap-sqr
20×add-cbrt-cube
19×div-inv
11×div-exp
9×pow1
8×prod-exp
6×cbrt-undiv associate-/l*
5×sqrt-div
4×associate-/r/ cbrt-unprod add-log-exp
3×rec-exp pow-flip 1-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 349
Calls
4 calls:
3.0ms
(sqrt (/ 2.0 y))
7.0ms
(/ 1 (sqrt (/ 2.0 y)))
6.0ms
(/ x (sqrt (/ 2.0 y)))
56.0ms
(* (/ 1 (sqrt (/ 2.0 y))) (/ x (sqrt (/ 2.0 y))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (/ 2.0 y))
9.0ms
(/ 1 (sqrt (/ 2.0 y)))
11.0ms
(/ x (sqrt (/ 2.0 y)))
13.0ms
(* (/ 1 (sqrt (/ 2.0 y))) (/ x (sqrt (/ 2.0 y))))

simplify84.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049564617
149564617

prune634.0ms

Filtered
254 candidates to 361 candidates (-42.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3610361
Fresh000
Picked011
Done022
Total3613364

Merged error: 0b

Counts
364 → 3

regimes301.0ms

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 (1.0ms)

IterNodesCost
0279
1279

end0.0ms

sample430.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
14.0ms485×body80invalid

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