Details

sample475.0ms

Algorithm

intervals

Results

222.0ms	96×	body	1280	valid
53.0ms	47×	body	640	valid
22.0ms	25×	body	320	valid
20.0ms	78×	body	80	valid
9.0ms	10×	body	160	valid

simplify630.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
6	911
5	367
4	177
3	95
2	61
1	25
0	13

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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))
16.0ms	(/ (sin ky) (hypot (sin ky) (sin kx)))
28.0ms	(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

series794.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(hypot (sin ky) (sin kx))
239.0ms	(/ (sin ky) (hypot (sin ky) (sin kx)))
382.0ms	(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

simplify691.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2001
2	1003
1	305
0	133

prune504.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.3b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

4.0ms	(hypot (sin ky) (sin kx))
18.0ms	(/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))
34.0ms	(* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))

series742.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(hypot (sin ky) (sin kx))
230.0ms	(/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))
349.0ms	(* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))))

simplify713.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2000
2	1123
1	323
0	132

prune456.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (hypot (sin ky) (sin kx)))
0.7b	(cbrt (sin ky))
0.7b	(cbrt (sin ky))
0.7b	(cbrt (sin ky))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (hypot (sin ky) (sin kx)))
1.0ms	(cbrt (sin ky))
1.0ms	(cbrt (sin ky))
1.0ms	(cbrt (sin ky))

series652.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (hypot (sin ky) (sin kx)))
148.0ms	(cbrt (sin ky))
124.0ms	(cbrt (sin ky))
152.0ms	(cbrt (sin ky))

simplify715.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2001
3	982
2	348
1	145
0	70

prune610.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.3b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (hypot (sin ky) (sin kx))))
0.7b	(cbrt (sin ky))
0.7b	(cbrt (sin ky))
0.7b	(cbrt (sin ky))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (sqrt (hypot (sin ky) (sin kx))))
1.0ms	(cbrt (sin ky))
1.0ms	(cbrt (sin ky))
1.0ms	(cbrt (sin ky))

series632.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (sqrt (hypot (sin ky) (sin kx))))
141.0ms	(cbrt (sin ky))
164.0ms	(cbrt (sin ky))
125.0ms	(cbrt (sin ky))

simplify622.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2000
3	958
2	356
1	153
0	81

prune509.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 8.3b

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 8.6b against oracle of 8.4b and baseline of 8.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.1s	2755×	body	1280	valid
2.7s	1826×	body	640	valid
1.3s	781×	body	320	valid
804.0ms	2295×	body	80	valid
183.0ms	343×	body	160	valid