Details

sample318.0ms

Algorithm

intervals

Results

133.0ms	99×	body	1280	valid
76.0ms	100×	body	640	valid
42.0ms	252×	body	80	valid
29.0ms	54×	body	320	valid
6.0ms	18×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2016
7	2016
6	1067
5	416
4	202
3	85
2	44
1	24
0	14

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (exp l))
0.0b	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
0.0b	(/ J (exp l))
6.6b	(- (* J (exp l)) (/ J (exp l)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`prod-diff`
8×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-l` `div-inv` `associate-/l`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

24.0ms	(* J (exp l))
0.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
11.0ms	(/ J (exp l))
29.0ms	(- (* J (exp l)) (/ J (exp l)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* J (exp l))
293.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
30.0ms	(/ J (exp l))
72.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	2005
3	2005
2	1456
1	501
0	201

prune852.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* J l))
0.1b	(fma (* 2 (* J l)) (cos (/ K 2)) U)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 32

Calls

2 calls:

15.0ms	(* 2 (* J l))
1.0ms	(fma (* 2 (* J l)) (cos (/ K 2)) U)

series148.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* 2 (* J l))
126.0ms	(fma (* 2 (* J l)) (cos (/ K 2)) U)

simplify1.2s

Counts

38 → 38

Iterations

Iter	Nodes
done	2003
4	2003
3	1076
2	345
1	128
0	61

prune216.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
0.3b	(* (sqrt 2) (* (sqrt 2) (* J l)))
0.4b	(* (sqrt 2) (* J l))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
81.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
32.0ms	(* (sqrt 2) (* J l))

series381.0ms

Counts

3 → 9

Calls

3 calls:

248.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
87.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
46.0ms	(* (sqrt 2) (* J l))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2013
3	2013
2	824
1	201
0	86

prune437.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))) (cos (/ K 2)) U)
0.3b	(* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))
0.3b	(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l))))
0.4b	(* (sqrt 2) (* J l))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`associate-l`
21×	`sqrt-prod`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

0.0ms	(fma (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))) (cos (/ K 2)) U)
54.0ms	(* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))
145.0ms	(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l))))
16.0ms	(* (sqrt 2) (* J l))

series597.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(fma (* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))) (cos (/ K 2)) U)
193.0ms	(* (sqrt (sqrt 2)) (* (sqrt 2) (* J l)))
93.0ms	(* (sqrt (sqrt 2)) (* (sqrt (sqrt 2)) (* (sqrt 2) (* J l))))
59.0ms	(* (sqrt 2) (* J l))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	2163
3	2163
2	1109
1	297
0	122

prune610.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes526.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample10.6s

Algorithm

intervals

Results

3.9s	2747×	body	1280	valid
2.8s	2572×	body	640	valid
1.7s	8326×	body	80	valid
1.3s	1360×	body	320	valid
245.0ms	730×	body	160	valid