Details

Time bar (total: 17.7s)

sample146.0ms

Algorithm
intervals
Results
110.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
41131
3299
2124
152
022

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin kx) 2.0)
0.5b
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
3.2b
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
10.5b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite147.0ms

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*
8×add-cbrt-cube
6×pow1 associate-/r* prod-exp
5×associate-*r*
4×sqrt-div pow-exp add-log-exp
3×pow-unpow flip3-+ div-exp flip-+ associate-/l* unswap-sqr sqr-pow
2×pow-to-exp associate-*r/ associate-/r/ div-inv distribute-lft-out
1×distribute-rgt-in cbrt-undiv rem-sqrt-square clear-num pow-pow frac-2neg distribute-lft-in sqrt-pow1 pow1/2 *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
5.0ms
(pow (sin kx) 2.0)
16.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
111.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
6.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
144.0ms
(pow (sin kx) 2.0)
553.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
545.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
564.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify2.1s

Counts
122 → 122
Iterations
IterNodes
done5000
22398
1590
0222

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
0.5b
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))
3.1b
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
10.5b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
72×prod-exp
36×pow-exp
33×add-sqr-sqrt
31×*-un-lft-identity
27×add-cube-cbrt
25×div-exp
24×times-frac
22×associate-*l*
17×unpow-prod-down
15×sqrt-prod
13×add-cbrt-cube
12×pow-to-exp
6×associate-/r* associate-*r* associate-*r/
5×distribute-rgt-in pow1 distribute-lft-in
4×flip3-+ sqrt-div cbrt-unprod flip-+ add-log-exp
3×div-inv associate-/l* unswap-sqr sqr-pow
2×associate-/r/ *-commutative distribute-lft-out
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 151
Calls
4 calls:
121.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
16.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))
110.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
9.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

series2.3s

Counts
4 → 12
Calls
4 calls:
513.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
673.0ms
(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))
573.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
530.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

simplify3.2s

Counts
163 → 163
Iterations
IterNodes
done5000
23620
1678
0246

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 2.0b

regimes814.0ms

Accuracy

0% (0.1b remaining)

Error of 1.3b against oracle of 1.2b and baseline of 1.3b

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.3s8000×body80valid