Details

sample99.0ms

Algorithm

intervals

Results

57.0ms

256×

body

valid

simplify797.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	22	29
1	52	29
2	132	28
3	345	28
4	1239	28
done	5000	28

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin ky) 2.0)
0.3b	(/ 1.0 (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)))
0.7b	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
7.5b	(sqrt (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

23×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
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×	`pow-unpow` `unpow-prod-down` `associate-/l*`
1×	`pow-to-exp` `cbrt-undiv` `rem-sqrt-square` `clear-num` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `pow-exp` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

3.0ms	(pow (sin ky) 2.0)
5.0ms	(/ 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)
4.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

173.0ms	(pow (sin ky) 2.0)
614.0ms	(/ 1.0 (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)))
360.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
536.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

simplify1.8s

Counts

97 → 97

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	168	2499
1	352	2302
2	1038	2126
3	3939	2091
done	5000	2088

prune807.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize22.0ms

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

prune1.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.9b

regimes762.0ms

Accuracy

0% (0.4b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 1.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	28
1	25	28
done	25	28

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.2s

8000×

body

valid