Details

sample165.0ms

Algorithm

intervals

Results

117.0ms

256×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	22	29
1	52	29
2	132	28
3	344	28
4	1245	28
done	5000	28

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin kx) 2.0)
0.3b	(pow (sin ky) 2.0)
2.9b	(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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `unpow-prod-down` `pow-unpow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 63

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

191.0ms	(pow (sin kx) 2.0)
156.0ms	(pow (sin ky) 2.0)
376.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
570.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

simplify2.0s

Counts

75 → 75

Iterations

Useful iterations: 3 (876.0ms)

Iter	Nodes	Cost
0	137	1098
1	330	1019
2	1022	899
3	3972	895
done	5001	895

prune561.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.5b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))))
0.3b	(pow (sin ky) 2.0)
2.9b	(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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `log-pow`
6×	`exp-prod` `sqrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `log-prod`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-exp` `fma-udef` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

517.0ms	(log (exp (sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))))
163.0ms	(pow (sin ky) 2.0)
355.0ms	(fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0)
554.0ms	(sqrt (fma (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) 1.0))

simplify2.2s

Counts

76 → 76

Iterations

Useful iterations: 3 (823.0ms)

Iter	Nodes	Cost
0	136	1586
1	289	1425
2	888	1246
3	3781	1240
done	5000	1240

prune693.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.5b

localize16.0ms

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: 1.5b

regimes595.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.5s

8000×

body

valid