Details

sample60.0ms

Algorithm

intervals

Results

35.0ms

256×

body

valid

simplify38.0ms

Counts: 1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin ky) 2.0)
0.3b	(pow (sin kx) 2.0)
1.6b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.8b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite144.0ms

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:

4.0ms	(pow (sin ky) 2.0)
6.0ms	(pow (sin kx) 2.0)
122.0ms	(* (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)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

152.0ms	(pow (sin ky) 2.0)
167.0ms	(pow (sin kx) 2.0)
598.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
540.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify70.0ms

Counts: 98 → 98

prune628.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin ky))
0.6b	(cbrt (sin ky))
1.6b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))
7.8b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (sin ky))
3.0ms	(cbrt (sin ky))
84.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))
6.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (sin ky))
144.0ms	(cbrt (sin ky))
605.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))
549.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))

simplify61.0ms

Counts: 84 → 84

prune783.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin ky))
0.6b	(cbrt (sin ky))
1.3b	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))
1.6b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (sin ky))
1.0ms	(cbrt (sin ky))
11.0ms	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))
91.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (sin ky))
201.0ms	(cbrt (sin ky))
573.0ms	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))))
625.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (* (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0))))

simplify45.0ms

Counts: 85 → 85

prune860.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize23.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes410.0ms

Accuracy

0% (0.5b remaining)

Error of 1.8b against oracle of 1.3b and baseline of 1.8b

bsearch0.0ms

simplify107.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.6s	7999×	body	80	valid
0.0ms	1×	body	160	valid