Details

sample789.0ms

Algorithm

intervals

Results

408.0ms	100×	body	1280	valid
80.0ms	60×	body	640	valid
18.0ms	21×	body	320	valid
18.0ms	60×	body	80	valid
12.0ms	15×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
0.3b	(pow (sin ky) 2)
0.3b	(pow (sin kx) 2)
0.2b	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
30×	`associate-l`
26×	`times-frac`
25×	`add-cube-cbrt`
21×	`sqrt-prod`
14×	`unpow-prod-down`
11×	`add-exp-log`
9×	`pow1` `add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow-unpow`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

Slowest

61.0ms	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
18.0ms	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
3.0ms	(pow (sin ky) 2)
3.0ms	(pow (sin kx) 2)

series328.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
130.0ms	(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
22.0ms	(pow (sin ky) 2)
22.0ms	(pow (sin kx) 2)

simplify1.8s

Counts: 119 → 119

prune2.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize41.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b	(* (sin ky) (sin ky))
0.3b	(* (sin kx) (sin kx))
0.3b	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

Slowest

61.0ms	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
22.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.0ms	(* (sin kx) (sin kx))
13.0ms	(* (sin ky) (sin ky))

series352.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

203.0ms	(* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
94.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
31.0ms	(* (sin ky) (sin ky))
24.0ms	(* (sin kx) (sin kx))

simplify708.0ms

Counts: 131 → 131

prune2.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

localize70.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt (* (sin kx) (sin kx)))
16.9b	(cbrt (* (sin kx) (sin kx)))
16.9b	(cbrt (* (sin kx) (sin kx)))
2.4b	(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sin-mult`
15×	`cbrt-div`
9×	`sqrt-div`
7×	`frac-add`
6×	`add-sqr-sqrt`
5×	`frac-times` `pow1` `-un-lft-identity` `associate-l/` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 56

Calls

4 calls:

Slowest

124.0ms	(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))
15.0ms	(cbrt (* (sin kx) (sin kx)))
10.0ms	(cbrt (* (sin kx) (sin kx)))
9.0ms	(cbrt (* (sin kx) (sin kx)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

201.0ms	(cbrt (* (sin kx) (sin kx)))
162.0ms	(cbrt (* (sin kx) (sin kx)))
142.0ms	(cbrt (* (sin kx) (sin kx)))
117.0ms	(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))

simplify815.0ms

Counts: 68 → 68

prune1.5s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.2b

localize85.0ms

Local error

Found 4 expressions with local error:

2.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
2.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
2.4b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.6b	(cbrt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
12×	`sqrt-div`
8×	`sin-mult`
7×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 86

Calls

4 calls:

Slowest

21.0ms	(cbrt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
16.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
12.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

269.0ms	(cbrt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
136.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
113.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
97.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.0s

Counts: 98 → 98

prune2.0s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 10.2b

regimes1.7s

Accuracy

0% (1.4b remaining)

Error of 12.4b against oracle of 10.9b and baseline of 12.4b

bsearch7.0ms

end0.0ms

sample12.2s

Algorithm

intervals

Results

7.4s	2801×	body	1280	valid
2.8s	1795×	body	640	valid
753.0ms	2310×	body	80	valid
664.0ms	748×	body	320	valid
269.0ms	346×	body	160	valid