Details

Time bar (total: 5.3s)

sample101.0ms

Algorithm
intervals
Results
34.0ms201×body80valid
21.0ms19×body1280valid
13.0ms17×body640valid
12.0ms11×body320valid
3.0ms8×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sin ky) 2.0)
0.3b
(pow (sin kx) 2.0)
2.5b
(* (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)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-exp-log
17×*-un-lft-identity
16×unpow-prod-down
13×add-cube-cbrt
11×associate-*l*
7×pow1
6×pow-unpow prod-exp add-cbrt-cube
5×associate-*r* pow-exp
4×add-log-exp sqr-pow
3×pow-to-exp times-frac sqrt-prod unswap-sqr
2×pow-pow flip3-+ sqrt-div associate-*r/ div-exp flip-+ distribute-lft-out
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 *-commutative cbrt-unprod div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(pow (sin ky) 2.0)
3.0ms
(pow (sin kx) 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)))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (sin ky) 2.0)
20.0ms
(pow (sin kx) 2.0)
109.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
134.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049621458
149621458

prune239.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh000
Picked011
Done000
Total97299

Merged error: 0.6b

Counts
99 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sin ky) 2.0)
0.3b
(pow (sin kx) 2.0)
1.5b
(log (pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
2.0b
(pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt
11×pow-unpow
8×log-prod pow-pow
7×pow1 add-exp-log
5×exp-prod sqr-pow
4×pow-to-exp pow-exp add-cbrt-cube add-log-exp
3×rem-log-exp
2×unpow-prod-up distribute-lft-out
1×log-pow
Counts
4 → 78
Calls
4 calls:
3.0ms
(pow (sin ky) 2.0)
3.0ms
(pow (sin kx) 2.0)
5.0ms
(log (pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
13.0ms
(pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (sin ky) 2.0)
18.0ms
(pow (sin kx) 2.0)
65.0ms
(log (pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
58.0ms
(pow (exp (pow (* (/ 2.0 Om) l) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049771311
149771311

prune226.0ms

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: 0.6b

Counts
92 → 2

regimes1.1s

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
02829
12829

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s6212×body80valid
604.0ms526×body1280valid
521.0ms639×body640valid
227.0ms387×body320valid
88.0ms236×body160valid

Profiling

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