Details

sample45.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	22	29
1	52	29
2	131	28
3	330	28
4	1152	28
5	4772	28
done	5000	28

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin ky) 2.0)
0.4b	(/ 1.0 (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)))
2.5b	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
7.9b	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`sqrt-prod`
7×	`add-exp-log`
6×	`pow1` `associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/l*`
1×	`cbrt-undiv` `pow-to-exp` `rem-sqrt-square` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `pow-exp` `clear-num` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

3.0ms	(pow (sin ky) 2.0)
6.0ms	(/ 1.0 (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)))
0.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
1.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (sin ky) 2.0)
445.0ms	(/ 1.0 (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)))
233.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
364.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

simplify924.0ms

Counts

97 → 97

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	168	2499
1	317	2299
2	710	2094
3	1978	2088
done	5001	2070

prune417.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ (* 2.0 l) Om) 2.0)
0.3b	(pow (sin kx) 2.0)
0.3b	(pow (sin ky) 2.0)
2.5b	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down`
12×	`add-exp-log`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
7×	`pow1`
5×	`pow-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `times-frac` `sqr-pow`
2×	`div-exp`
1×	`prod-exp` `fma-udef` `div-inv`

Counts

4 → 73

Calls

4 calls:

8.0ms	(pow (/ (* 2.0 l) Om) 2.0)
3.0ms	(pow (sin kx) 2.0)
4.0ms	(pow (sin ky) 2.0)
0.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)

series531.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow (/ (* 2.0 l) Om) 2.0)
104.0ms	(pow (sin kx) 2.0)
102.0ms	(pow (sin ky) 2.0)
246.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	171	959
1	352	911
2	833	816
3	2722	814
done	5000	806

prune416.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.1b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.1b

regimes335.0ms

Accuracy

0% (0.3b remaining)

Error of 1.5b against oracle of 1.2b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	28
1	24	28
done	24	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

795.0ms

8000×

body

valid