Details

sample195.0ms

Algorithm

intervals

Results

65.0ms	96×	body	640	valid
57.0ms	69×	body	1280	valid
28.0ms	261×	body	80	valid
14.0ms	38×	body	320	valid
4.0ms	16×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3163
6	1067
5	416
4	202
3	85
2	44
1	24
0	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))) U)
0.0b	(* J (exp l))
0.0b	(/ J (exp l))
7.4b	(- (* J (exp l)) (/ J (exp l)))

rewrite57.0ms

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:

0.0ms	(fma (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))) U)
16.0ms	(* J (exp l))
7.0ms	(/ J (exp l))
33.0ms	(- (* J (exp l)) (/ J (exp l)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(fma (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))) U)
23.0ms	(* J (exp l))
51.0ms	(/ J (exp l))
79.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4953
2	1465
1	501
0	201

prune702.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

33.0ms	(* 2 (* J l))
1.0ms	(fma (cos (/ K 2)) (* 2 (* J l)) U)

series188.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* 2 (* J l))
153.0ms	(fma (cos (/ K 2)) (* 2 (* J l)) U)

simplify3.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	3938
3	1099
2	346
1	128
0	61

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

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:

1.0ms	(fma (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l))) U)
83.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
43.0ms	(* (sqrt 2) (* J l))

series549.0ms

Counts

3 → 9

Calls

3 calls:

358.0ms	(fma (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l))) U)
108.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
83.0ms	(* (sqrt 2) (* J l))

simplify3.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5004
3	3601
2	828
1	201
0	86

prune365.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

46.0ms	(+ (* J (* 2 (* l (cos (/ K 2))))) U)
54.0ms	(* J (* 2 (* l (cos (/ K 2)))))
9.0ms	(* l (cos (/ K 2)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (* J (* 2 (* l (cos (/ K 2))))) U)
76.0ms	(* J (* 2 (* l (cos (/ K 2)))))
50.0ms	(* l (cos (/ K 2)))

simplify2.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4193
2	863
1	268
0	107

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes432.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.0s	2748×	body	1280	valid
2.0s	8449×	body	80	valid
1.6s	2591×	body	640	valid
642.0ms	1494×	body	320	valid
221.0ms	788×	body	160	valid