Details

Time bar (total: 7.2s)

sample99.0ms

Algorithm
intervals
Results
39.0ms200×body80valid
20.0ms26×body640valid
13.0ms12×body1280valid
5.0ms9×body320valid
3.0ms9×body160valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05216
112316
229416
3108316
4500116

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (* 2.0 l) Om) 2.0)
0.3b
(pow (sin kx) 2.0)
2.0b
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.1b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt unpow-prod-down
18×*-un-lft-identity
14×add-cube-cbrt
11×associate-*l*
7×pow1 pow-exp prod-exp
6×pow-unpow times-frac add-cbrt-cube
5×associate-*r*
4×div-exp add-log-exp sqr-pow
3×pow-to-exp sqrt-prod unswap-sqr
2×pow-pow flip3-+ sqrt-div associate-*r/ flip-+ div-inv distribute-lft-out
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
3.0ms
(pow (/ (* 2.0 l) Om) 2.0)
1.0ms
(pow (sin kx) 2.0)
39.0ms
(* (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)))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(pow (/ (* 2.0 l) Om) 2.0)
107.0ms
(pow (sin kx) 2.0)
364.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
308.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0499897
11984856
25002856

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

7.1b
(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
14.9b
(cbrt (/ (* 2.0 l) Om))
14.9b
(cbrt (/ (* 2.0 l) Om))
14.9b
(cbrt (/ (* 2.0 l) Om))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 sqrt-prod div-inv
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 63
Calls
4 calls:
2.0ms
(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
2.0ms
(cbrt (/ (* 2.0 l) Om))
2.0ms
(cbrt (/ (* 2.0 l) Om))
2.0ms
(cbrt (/ (* 2.0 l) Om))

series719.0ms

Counts
4 → 12
Calls
4 calls:
450.0ms
(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
89.0ms
(cbrt (/ (* 2.0 l) Om))
89.0ms
(cbrt (/ (* 2.0 l) Om))
91.0ms
(cbrt (/ (* 2.0 l) Om))

simplify148.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0193798
1579751
23641744
35002741

prune434.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

14.9b
(cbrt (/ (* 2.0 l) Om))
14.9b
(cbrt (/ (* 2.0 l) Om))
14.9b
(cbrt (/ (* 2.0 l) Om))
14.9b
(cbrt (/ (* 2.0 l) Om))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 64
Calls
4 calls:
5.0ms
(cbrt (/ (* 2.0 l) Om))
2.0ms
(cbrt (/ (* 2.0 l) Om))
2.0ms
(cbrt (/ (* 2.0 l) Om))
2.0ms
(cbrt (/ (* 2.0 l) Om))

series369.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (/ (* 2.0 l) Om))
101.0ms
(cbrt (/ (* 2.0 l) Om))
90.0ms
(cbrt (/ (* 2.0 l) Om))
91.0ms
(cbrt (/ (* 2.0 l) Om))

simplify180.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (34.0ms)

IterNodesCost
091452
1169416
2392408
31107396
44961372
55001372

prune561.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes310.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03326
13326

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s6137×body80valid
623.0ms567×body1280valid
524.0ms676×body640valid
217.0ms393×body320valid
84.0ms227×body160valid