Details

sample205.0ms

Algorithm

intervals

Results

67.0ms	103×	body	1280	valid
65.0ms	99×	body	640	valid
23.0ms	274×	body	80	valid
11.0ms	38×	body	320	valid
4.0ms	25×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2946
5	605
4	222
3	91
2	45
1	24
0	14

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2.0)) U)
0.0b	(* J (exp l))
5.9b	(- (* J (exp l)) (/ J (exp l)))

rewrite43.0ms

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` `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 → 59

Calls

3 calls:

0.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2.0)) U)
19.0ms	(* J (exp l))
18.0ms	(- (* J (exp l)) (/ J (exp l)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2.0)) U)
31.0ms	(* J (exp l))
84.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify2.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	2006
1	477
0	186

prune501.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* J l))
0.1b	(fma (* 2 (* J l)) (cos (/ K 2.0)) U)

rewrite25.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

23.0ms	(* 2 (* J l))
0.0ms	(fma (* 2 (* J l)) (cos (/ K 2.0)) U)

series175.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* 2 (* J l))
147.0ms	(fma (* 2 (* J l)) (cos (/ K 2.0)) U)

simplify2.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	1649
2	407
1	126
0	60

prune343.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)) U)
0.3b	(* (sqrt 2) (* (sqrt 2) (* J l)))
0.4b	(* (sqrt 2) (* J l))

rewrite80.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

3 → 59

Calls

3 calls:

1.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)) U)
53.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
23.0ms	(* (sqrt 2) (* J l))

series428.0ms

Counts

3 → 9

Calls

3 calls:

260.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2.0)) U)
87.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))
81.0ms	(* (sqrt 2) (* J l))

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	936
1	199
0	85

prune460.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* J 2) (* l (cos (/ K 2.0)))) U)
0.1b	(* (* J 2) (* l (cos (/ K 2.0))))
0.1b	(* l (cos (/ K 2.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

29.0ms	(+ (* (* J 2) (* l (cos (/ K 2.0)))) U)
28.0ms	(* (* J 2) (* l (cos (/ K 2.0))))
10.0ms	(* l (cos (/ K 2.0)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(+ (* (* J 2) (* l (cos (/ K 2.0)))) U)
73.0ms	(* (* J 2) (* l (cos (/ K 2.0))))
77.0ms	(* l (cos (/ K 2.0)))

simplify1.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1069
1	262
0	102

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes619.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.9s	2716×	body	1280	valid
1.7s	8432×	body	80	valid
1.4s	2651×	body	640	valid
569.0ms	1425×	body	320	valid
217.0ms	711×	body	160	valid