Details

sample398.0ms

Algorithm

intervals

Results

124.0ms	88×	body	1280	valid
77.0ms	23×	body	320	valid
46.0ms	54×	body	640	valid
15.0ms	80×	body	80	valid
4.0ms	11×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3205
6	911
5	367
4	177
3	95
2	61
1	25
0	13

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

0.0ms	(hypot (sin ky) (sin kx))
17.0ms	(/ (sin ky) (hypot (sin ky) (sin kx)))
24.0ms	(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

series730.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(hypot (sin ky) (sin kx))
244.0ms	(/ (sin ky) (hypot (sin ky) (sin kx)))
340.0ms	(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

simplify2.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5017
3	3345
2	1003
1	305
0	133

prune606.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.7b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

0.0ms	(hypot (sin ky) (sin kx))
12.0ms	(/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))
25.0ms	(* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))

series738.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(hypot (sin ky) (sin kx))
227.0ms	(/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))
348.0ms	(* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))

simplify2.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5008
3	3066
2	1123
1	323
0	132

prune464.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot (sin ky) (sin kx))
0.1b	(* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx)))))
0.2b	(/ 1 (hypot (sin ky) (sin kx)))
0.3b	(* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `associate-/l` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`hypot-udef` `clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 111

Calls

4 calls:

0.0ms	(hypot (sin ky) (sin kx))
70.0ms	(* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx)))))
5.0ms	(/ 1 (hypot (sin ky) (sin kx)))
18.0ms	(* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))

series996.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(hypot (sin ky) (sin kx))
354.0ms	(* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx)))))
216.0ms	(/ 1 (hypot (sin ky) (sin kx)))
260.0ms	(* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))

simplify3.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
3	3362
2	1263
1	393
0	168

prune670.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot (sin ky) (sin kx))
0.3b	(/ (sin th) (hypot (sin ky) (sin kx)))
0.3b	(* (sin ky) (/ (sin th) (hypot (sin ky) (sin kx))))

rewrite36.0ms

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:

0.0ms	(hypot (sin ky) (sin kx))
13.0ms	(/ (sin th) (hypot (sin ky) (sin kx)))
20.0ms	(* (sin ky) (/ (sin th) (hypot (sin ky) (sin kx))))

series751.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(hypot (sin ky) (sin kx))
295.0ms	(/ (sin th) (hypot (sin ky) (sin kx)))
295.0ms	(* (sin ky) (/ (sin th) (hypot (sin ky) (sin kx))))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
3	2357
2	874
1	281
0	125

prune611.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 7.7b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 8.9b against oracle of 8.7b and baseline of 8.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.8s	2716×	body	1280	valid
1.9s	1885×	body	640	valid
625.0ms	2301×	body	80	valid
472.0ms	751×	body	320	valid
127.0ms	347×	body	160	valid