Details

sample64.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	29
1	52	29
2	124	29
3	298	29
4	1125	29
done	5001	29

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin ky) 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)))
9.4b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`add-exp-log`
17×	`*-un-lft-identity`
16×	`unpow-prod-down`
13×	`add-cube-cbrt`
11×	`associate-l`
7×	`pow1`
6×	`pow-unpow` `prod-exp` `add-cbrt-cube`
5×	`associate-r` `pow-exp`
4×	`add-log-exp` `sqr-pow`
3×	`pow-to-exp` `times-frac` `sqrt-prod` `unswap-sqr`
2×	`pow-pow` `flip3-+` `sqrt-div` `associate-*r/` `div-exp` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 86

Calls

4 calls:

6.0ms	(pow (sin ky) 2.0)
4.0ms	(pow (sin kx) 2.0)
88.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
8.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

149.0ms	(pow (sin ky) 2.0)
134.0ms	(pow (sin kx) 2.0)
558.0ms	(* (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)))))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: 2 (557.0ms)

Iter	Nodes	Cost
0	195	1635
1	565	1485
2	2303	1429
done	5001	1429

prune731.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize67.0ms

Local error

Found 4 expressions with local error:

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)))
9.4b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
11.6b	(cbrt (pow (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 3))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`unpow-prod-down`
18×	`cbrt-prod`
17×	`add-exp-log`
16×	`add-cube-cbrt`
11×	`associate-l`
9×	`sqrt-prod`
6×	`pow1` `cube-prod` `prod-exp` `add-cbrt-cube`
5×	`associate-r`
4×	`sqrt-div` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `times-frac` `flip-+` `unswap-sqr`
2×	`cube-div` `pow-to-exp` `cbrt-div` `associate-*r/` `div-exp` `distribute-lft-out`
1×	`distribute-rgt-in` `cube-mult` `rem-sqrt-square` `pow-pow` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow1/3` `unpow3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv`

Counts

4 → 98

Calls

4 calls:

8.0ms	(pow (sin kx) 2.0)
99.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
8.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
26.0ms	(cbrt (pow (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 3))

series1.9s

Counts

4 → 12

Calls

4 calls:

161.0ms	(pow (sin kx) 2.0)
651.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
590.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
505.0ms	(cbrt (pow (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 3))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: 2 (528.0ms)

Iter	Nodes	Cost
0	209	2792
1	618	2247
2	2930	2203
done	5001	2203

prune726.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.1b

localize19.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

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: 1.1b

regimes683.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	32
1	31	32
done	31	32

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.6s

8000×

body

valid