Details

sample341.0ms

Algorithm

intervals

Results

149.0ms	98×	body	1280	valid
68.0ms	84×	body	640	valid
63.0ms	263×	body	80	valid
22.0ms	42×	body	320	valid
9.0ms	23×	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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (exp l))
0.0b	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
6.8b	(- (* J (exp l)) (/ J (exp l)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`prod-diff`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`div-inv`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

19.0ms	(* J (exp l))
0.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
35.0ms	(- (* J (exp l)) (/ J (exp l)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* J (exp l))
272.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
101.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	2000
3	2000
2	1338
1	468
0	185

prune420.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

18.0ms	(* 2 (* J l))
0.0ms	(fma (* 2 (* J l)) (cos (/ K 2)) U)

series167.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* 2 (* J l))
131.0ms	(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

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

50.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
29.0ms	(* 2 (* J l))
67.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (* (* 2 (* J l)) (cos (/ K 2))) U)
22.0ms	(* 2 (* J l))
79.0ms	(* (* 2 (* J l)) (cos (/ K 2)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	2012
3	2012
2	894
1	258
0	100

prune369.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
0.4b	(* (sqrt 2) (* J l))
0.4b	(* (sqrt 2) (* (sqrt 2) (* J l)))

rewrite119.0ms

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)
32.0ms	(* (sqrt 2) (* J l))
85.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

series411.0ms

Counts

3 → 9

Calls

3 calls:

241.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
63.0ms	(* (sqrt 2) (* J l))
108.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	2008
3	2008
2	824
1	198
0	86

prune317.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes411.0ms

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	15
1	15
0	11

end0.0ms

sample10.2s

Algorithm

intervals

Results

4.1s	2704×	body	1280	valid
2.2s	2486×	body	640	valid
1.7s	8518×	body	80	valid
1.4s	1380×	body	320	valid
354.0ms	794×	body	160	valid