Details

sample495.0ms

Algorithm

intervals

Results

215.0ms	81×	body	1280	valid
93.0ms	67×	body	640	valid
22.0ms	75×	body	80	valid
17.0ms	19×	body	320	valid
9.0ms	14×	body	160	valid

simplify395.0ms

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize20.0ms

Local error

Found 3 expressions with local error:

3.2b	(/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
0.2b	(* (sin th) (sin ky))
0.1b	(hypot (sin kx) (sin ky))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `times-frac` `associate-r` `associate-l*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `sin-mult`
1×	`hypot-udef` `clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 58

Calls

3 calls:

Slowest

19.0ms	(* (sin th) (sin ky))
17.0ms	(/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
0.0ms	(hypot (sin kx) (sin ky))

series561.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

342.0ms	(/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
150.0ms	(hypot (sin kx) (sin ky))
68.0ms	(* (sin th) (sin ky))

simplify291.0ms

Counts: 71 → 67

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.7b

localize45.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.1b	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
0.1b	(hypot (sin kx) (sin ky))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`hypot-udef` `associate-/r/`

Counts

3 → 114

Calls

3 calls:

Slowest

10.0ms	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
9.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.0ms	(hypot (sin kx) (sin ky))

series762.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

325.0ms	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
268.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
170.0ms	(hypot (sin kx) (sin ky))

simplify599.0ms

Counts: 173 → 123

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (hypot (sin ky) (sin kx)) (sin ky))
0.1b	(/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
0.1b	(hypot (sin ky) (sin kx))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`hypot-udef` `associate-/r/`

Counts

3 → 114

Calls

3 calls:

Slowest

16.0ms	(/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
5.0ms	(/ (hypot (sin ky) (sin kx)) (sin ky))
0.0ms	(hypot (sin ky) (sin kx))

series637.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

307.0ms	(/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
189.0ms	(/ (hypot (sin ky) (sin kx)) (sin ky))
140.0ms	(hypot (sin ky) (sin kx))

simplify648.0ms

Counts: 173 → 123

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.7b

localize38.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
0.3b	(/ (sin th) (hypot (sin ky) (sin kx)))
0.1b	(hypot (sin ky) (sin kx))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`hypot-udef` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 76

Calls

3 calls:

Slowest

27.0ms	(* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
15.0ms	(/ (sin th) (hypot (sin ky) (sin kx)))
0.0ms	(hypot (sin ky) (sin kx))

series852.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

352.0ms	(* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
320.0ms	(/ (sin th) (hypot (sin ky) (sin kx)))
180.0ms	(hypot (sin ky) (sin kx))

simplify312.0ms

Counts: 96 → 85

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.7b

regimes1.0s

Accuracy

0% (0.2b remaining)

Error of 8.7b against oracle of 8.6b and baseline of 8.7b

bsearch2.0ms

end0.0ms

sample11.7s

Algorithm

intervals

Results

7.1s	2781×	body	1280	valid
2.5s	1839×	body	640	valid
834.0ms	2301×	body	80	valid
739.0ms	725×	body	320	valid
193.0ms	354×	body	160	valid