Details

sample516.0ms

Algorithm

intervals

Results

239.0ms	90×	body	1280	valid
96.0ms	67×	body	640	valid
20.0ms	68×	body	80	valid
18.0ms	19×	body	320	valid
7.0ms	12×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize43.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b	(* (sin kx) (sin kx))
0.3b	(* (sin ky) (sin ky))
0.2b	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
18×	`times-frac`
15×	`sqrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `sqrt-div` `swap-sqr` `associate-r` `associate-l*` `sin-mult`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `frac-add` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `sqr-sin` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 116

Calls

4 calls:

Slowest

34.0ms	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
13.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
12.0ms	(* (sin ky) (sin ky))
10.0ms	(* (sin kx) (sin kx))

series818.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

589.0ms	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
157.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
36.0ms	(* (sin kx) (sin kx))
34.0ms	(* (sin ky) (sin ky))

simplify662.0ms

Counts: 128 → 128

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.6b

localize69.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b	(* (sin ky) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
0.3b	(* (sin kx) (sin kx))
0.3b	(* (sin ky) (sin ky))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
31×	`associate-r`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`times-frac`
21×	`pow1`
17×	`add-exp-log`
14×	`sqrt-prod`
13×	`add-cbrt-cube`
9×	`associate-l`
7×	`unswap-sqr`
6×	`sqrt-div` `swap-sqr` `prod-exp` `sin-mult`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `associate-/r/` `*-commutative`
2×	`pow2` `flip3-+` `pow-plus` `div-exp` `frac-add` `pow-sqr` `pow-prod-up` `flip-+` `sqr-sin`
1×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 124

Calls

4 calls:

Slowest

83.0ms	(* (sin ky) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
13.0ms	(* (sin kx) (sin kx))
12.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
10.0ms	(* (sin ky) (sin ky))

series394.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

193.0ms	(* (sin ky) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
133.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
35.0ms	(* (sin kx) (sin kx))
34.0ms	(* (sin ky) (sin ky))

simplify2.4s

Counts: 136 → 136

prune2.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 11.6b

localize58.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (+ (* (* (cbrt (sin kx)) (cbrt (sin kx))) (* (cbrt (sin kx)) (sin kx))) (* (sin ky) (sin ky))))
0.6b	(cbrt (sin kx))
0.6b	(cbrt (sin kx))
0.6b	(cbrt (sin kx))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 52

Calls

4 calls:

Slowest

70.0ms	(sqrt (+ (* (* (cbrt (sin kx)) (cbrt (sin kx))) (* (cbrt (sin kx)) (sin kx))) (* (sin ky) (sin ky))))
5.0ms	(cbrt (sin kx))
2.0ms	(cbrt (sin kx))
2.0ms	(cbrt (sin kx))

series537.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(cbrt (sin kx))
139.0ms	(cbrt (sin kx))
128.0ms	(cbrt (sin kx))
111.0ms	(sqrt (+ (* (* (cbrt (sin kx)) (cbrt (sin kx))) (* (cbrt (sin kx)) (sin kx))) (* (sin ky) (sin ky))))

simplify939.0ms

Counts: 64 → 64

prune1.2s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 11.5b

localize41.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b	(* (sin kx) (sin kx))
0.3b	(* (sin ky) (sin ky))
0.2b	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
18×	`times-frac`
15×	`sqrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `sqrt-div` `swap-sqr` `associate-r` `associate-l*` `sin-mult`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `frac-add` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `sqr-sin` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 116

Calls

4 calls:

Slowest

33.0ms	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
20.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms	(* (sin kx) (sin kx))
10.0ms	(* (sin ky) (sin ky))

series425.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
140.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
43.0ms	(* (sin ky) (sin ky))
33.0ms	(* (sin kx) (sin kx))

simplify795.0ms

Counts: 128 → 128

prune1.8s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 11.5b

regimes1.1s

Accuracy

0% (1.3b remaining)

Error of 12.3b against oracle of 11.0b and baseline of 12.3b

bsearch4.0ms

end0.0ms

sample12.2s

Algorithm

intervals

Results

7.1s	2727×	body	1280	valid
2.6s	1908×	body	640	valid
1.2s	2251×	body	80	valid
747.0ms	772×	body	320	valid
265.0ms	342×	body	160	valid