Details

sample111.0ms

Algorithm

intervals

Results

64.0ms

256×

body

valid

simplify799.0ms

Counts: 1 → 1

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ (* 2.0 l) Om) 2.0)
0.3b	(pow (sin kx) 2.0)
2.6b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
11.0b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

20.0ms	(pow (/ (* 2.0 l) Om) 2.0)
8.0ms	(pow (sin kx) 2.0)
175.0ms	(* (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)))))

series1.9s

Counts

4 → 12

Calls

4 calls:

491.0ms	(pow (/ (* 2.0 l) Om) 2.0)
200.0ms	(pow (sin kx) 2.0)
567.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
611.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify972.0ms

Counts: 104 → 104

prune743.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.7b

localize51.0ms

Local error

Found 4 expressions with local error:

11.0b	(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
14.2b	(cbrt (/ (* 2.0 l) Om))
14.2b	(cbrt (/ (* 2.0 l) Om))
14.2b	(cbrt (/ (* 2.0 l) Om))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `sqrt-prod` `div-inv`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 63

Calls

4 calls:

5.0ms	(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
7.0ms	(cbrt (/ (* 2.0 l) Om))
9.0ms	(cbrt (/ (* 2.0 l) Om))
20.0ms	(cbrt (/ (* 2.0 l) Om))

series1.2s

Counts

4 → 12

Calls

4 calls:

701.0ms	(sqrt (+ 1.0 (* (pow (* (cbrt (/ (* 2.0 l) Om)) (cbrt (/ (* 2.0 l) Om))) 2.0) (* (pow (cbrt (/ (* 2.0 l) Om)) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
147.0ms	(cbrt (/ (* 2.0 l) Om))
169.0ms	(cbrt (/ (* 2.0 l) Om))
147.0ms	(cbrt (/ (* 2.0 l) Om))

simplify2.7s

Counts: 75 → 75

prune810.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize73.0ms

Local error

Found 4 expressions with local error:

14.2b	(cbrt (/ (* 2.0 l) Om))
14.2b	(cbrt (/ (* 2.0 l) Om))
14.2b	(cbrt (/ (* 2.0 l) Om))
14.2b	(cbrt (/ (* 2.0 l) Om))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

7.0ms	(cbrt (/ (* 2.0 l) Om))
7.0ms	(cbrt (/ (* 2.0 l) Om))
7.0ms	(cbrt (/ (* 2.0 l) Om))
7.0ms	(cbrt (/ (* 2.0 l) Om))

series550.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (/ (* 2.0 l) Om))
130.0ms	(cbrt (/ (* 2.0 l) Om))
133.0ms	(cbrt (/ (* 2.0 l) Om))
148.0ms	(cbrt (/ (* 2.0 l) Om))

simplify1.3s

Counts: 76 → 76

prune899.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.7b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify13.0ms

Counts: 0 → 0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.7b

regimes527.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch0.0ms

simplify2.2s

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.5s

8000×

body

valid