Details

sample575.0ms

Algorithm

intervals

Results

203.0ms	83×	body	1280	valid
138.0ms	58×	body	640	valid
75.0ms	77×	body	80	valid
23.0ms	26×	body	320	valid
7.0ms	12×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize46.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin ky) (hypot (sin kx) (sin ky)))
0.1b	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
0.0b	(hypot (sin kx) (sin ky))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `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-r/` `-commutative`

Counts

3 → 76

Calls

3 calls:

Slowest

21.0ms	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
9.0ms	(/ (sin ky) (hypot (sin kx) (sin ky)))
0.0ms	(hypot (sin kx) (sin ky))

series827.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

378.0ms	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
243.0ms	(/ (sin ky) (hypot (sin kx) (sin ky)))
205.0ms	(hypot (sin kx) (sin ky))

simplify1.1s

Counts: 85 → 85

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.7b

localize38.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin ky) (hypot (sin kx) (sin ky)))
0.1b	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
0.0b	(hypot (sin kx) (sin ky))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `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-r/` `-commutative`

Counts

3 → 76

Calls

3 calls:

Slowest

27.0ms	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
16.0ms	(/ (sin ky) (hypot (sin kx) (sin ky)))
0.0ms	(hypot (sin kx) (sin ky))

series1.2s

Counts

3 → 9

Calls

3 calls:

Slowest

608.0ms	(hypot (sin kx) (sin ky))
313.0ms	(* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
239.0ms	(/ (sin ky) (hypot (sin kx) (sin ky)))

simplify1.0s

Counts: 85 → 85

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))
0.1b	(* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))
0.1b	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.0b	(hypot (sin kx) (sin ky))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`hypot-udef` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 196

Calls

4 calls:

Slowest

22.0ms	(* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))
16.0ms	(/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))
13.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.0ms	(hypot (sin kx) (sin ky))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

308.0ms	(* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))
307.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
210.0ms	(/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))
186.0ms	(hypot (sin kx) (sin ky))

simplify828.0ms

Counts: 208 → 208

prune3.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.7b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
0.1b	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.0b	(hypot (sin kx) (sin ky))

rewrite37.0ms

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

22.0ms	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
11.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
0.0ms	(hypot (sin kx) (sin ky))

series760.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

343.0ms	(/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
255.0ms	(/ (hypot (sin kx) (sin ky)) (sin ky))
162.0ms	(hypot (sin kx) (sin ky))

simplify1.8s

Counts: 123 → 123

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.7b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 8.8b against oracle of 8.6b and baseline of 8.8b

bsearch3.0ms

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.4s	2771×	body	1280	valid
2.5s	1783×	body	640	valid
1.1s	2285×	body	80	valid
894.0ms	790×	body	320	valid
244.0ms	371×	body	160	valid