Details

Time bar (total: 5.1s)

sample112.0ms

Algorithm
intervals
Results
36.0ms28×body1280valid
31.0ms186×body80valid
14.0ms18×body640valid
9.0ms17×body320valid
3.0msbody160valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05216
112316
229416
3108316
4500116

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
0.3b
(pow (/ (* 2.0 l) Om) 2.0)
3.2b
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
9.6b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
31×*-un-lft-identity
27×add-cube-cbrt
24×add-exp-log times-frac
17×unpow-prod-down
15×sqrt-prod
11×associate-*l*
add-cbrt-cube
prod-exp
pow1 pow-exp associate-/r*
div-exp associate-*r*
sqrt-div add-log-exp
pow-unpow flip3-+ flip-+ div-inv associate-/l* unswap-sqr sqr-pow
pow-to-exp associate-*r/ associate-/r/ distribute-lft-out
cbrt-undiv distribute-rgt-in rem-sqrt-square pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
8.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
5.0ms
(pow (/ (* 2.0 l) Om) 2.0)
14.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
14.0ms
(pow (/ (* 2.0 l) Om) 2.0)
106.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
133.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05831700
124061582
250011579

prune352.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh000
Picked011
Done000
Total1272129

Merged error: 0.6b

Counts
129 → 2

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022

Merged error: 0.6b

Counts
2 → 2

regimes1.2s

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.7b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s6239×body80valid
618.0ms552×body1280valid
492.0ms604×body640valid
216.0ms377×body320valid
90.0ms228×body160valid

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