Details

Time bar (total: 7.0s)

analyze611.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
49.9%49.9%0.2%3
49.9%49.9%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
74.9%25%0.2%7
74.9%25%0.2%8
74.9%25%0.2%9
74.9%25%0.2%10
87.3%12.5%0.2%11
87.3%12.5%0.2%12
87.3%12.5%0.2%13
87.3%12.5%0.2%14

sample96.0ms

Algorithm
intervals
Results
36.0ms205×body80valid
22.0ms16×body1280valid
17.0ms20×body640valid
5.0msbody320valid
2.0msbody160valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0488229
1488229

prune11.0ms

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: 1.3b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 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 (sin ky) 2.0)
2.5b
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.5b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
26×add-cube-cbrt
21×times-frac
19×add-exp-log
15×sqrt-prod
13×unpow-prod-down
11×associate-*l*
add-cbrt-cube
pow1 prod-exp associate-/r*
associate-*r*
sqrt-div pow-exp add-log-exp
pow-unpow flip3-+ div-exp flip-+ associate-/l* unswap-sqr sqr-pow
pow-to-exp associate-*r/ associate-/r/ div-inv 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 → 110
Calls
4 calls:
5.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
3.0ms
(pow (sin ky) 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)))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
18.0ms
(pow (sin ky) 2.0)
112.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
132.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050162674

prune325.0ms

Filtered
88 candidates to 122 candidates (-38.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh000
Picked101
Done000
Total1212123

Merged error: 1.0b

Counts
123 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin ky) 2.0)
2.5b
(* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
4.4b
(log (exp (/ 1.0 (sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))))
7.5b
(sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt *-un-lft-identity
25×log-pow
24×exp-prod
23×add-cube-cbrt
18×times-frac
17×add-exp-log
12×sqrt-prod
pow1 prod-exp
unpow-prod-down add-cbrt-cube
associate-*r* associate-*l*
sqrt-div pow-exp add-log-exp
pow-unpow log-prod flip3-+ flip-+ sqr-pow
pow-to-exp associate-*r/ associate-/r/ distribute-lft-out unswap-sqr
distribute-rgt-in rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow1/2 div-exp rem-log-exp *-commutative cbrt-unprod div-inv
Counts
4 → 98
Calls
4 calls:
3.0ms
(pow (sin ky) 2.0)
15.0ms
(* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.0ms
(log (exp (/ 1.0 (sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))))
3.0ms
(sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (sin ky) 2.0)
108.0ms
(* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
163.0ms
(log (exp (/ 1.0 (sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))))
127.0ms
(sqrt (+ 1.0 (* (pow (* (/ l Om) 2.0) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049802031
149802031

prune302.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done000
Total1102112

Merged error: 1.0b

Counts
112 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin kx) 2.0)
0.3b
(pow (sin ky) 2.0)
2.2b
(pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
2.6b
(log (pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt
11×pow-unpow
log-prod pow-pow
pow1 add-exp-log
exp-prod sqr-pow
pow-to-exp pow-exp add-cbrt-cube add-log-exp
rem-log-exp
unpow-prod-up distribute-lft-out
log-pow
Counts
4 → 78
Calls
4 calls:
3.0ms
(pow (sin kx) 2.0)
3.0ms
(pow (sin ky) 2.0)
11.0ms
(pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
5.0ms
(log (pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (sin kx) 2.0)
18.0ms
(pow (sin ky) 2.0)
59.0ms
(pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
61.0ms
(log (pow (exp (pow (* (/ l Om) 2.0) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050801303

prune218.0ms

Filtered
62 candidates to 90 candidates (-45.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done011
Total90292

Merged error: 1.0b

Counts
92 → 2

regimes501.0ms

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
03031
13031

end0.0ms

analyze756.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
49.9%49.9%0.2%3
49.9%49.9%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
74.9%25%0.2%7
74.9%25%0.2%8
74.9%25%0.2%9
74.9%25%0.2%10
87.3%12.5%0.2%11
87.3%12.5%0.2%12
87.3%12.5%0.2%13
87.3%12.5%0.2%14

sample2.8s

Algorithm
intervals
Results
1.1s6222×body80valid
652.0ms564×body1280valid
546.0ms650×body640valid
231.0ms375×body320valid
76.0ms189×body160valid

Profiling

Loading profile data...