Details

sample279.0ms

Algorithm

intervals

Results

92.0ms	90×	body	1280	valid
58.0ms	49×	body	320	valid
53.0ms	79×	body	640	valid
40.0ms	269×	body	80	valid
7.0ms	23×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	1004
5	361
4	183
3	80
2	41
1	23
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (exp l))
0.0b	(/ J (exp l))
0.0b	(* (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))))
3.7b	(- (* J (exp l)) (/ J (exp l)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1` `add-exp-log`
7×	`associate-r`
6×	`associate-l` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `sub-neg` `div-inv` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* J (exp l))
6.0ms	(/ J (exp l))
83.0ms	(* (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))))
31.0ms	(- (* J (exp l)) (/ J (exp l)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* J (exp l))
29.0ms	(/ J (exp l))
125.0ms	(* (cos (/ K 2)) (- (* J (exp l)) (/ J (exp l))))
80.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify578.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2003
2	894
1	326
0	143

prune588.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

9.0ms	(+ U (* (cos (/ K 2)) (* 2 (* J l))))
13.0ms	(* 2 (* J l))
41.0ms	(* (cos (/ K 2)) (* 2 (* J l)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ U (* (cos (/ K 2)) (* 2 (* J l))))
37.0ms	(* 2 (* J l))
89.0ms	(* (cos (/ K 2)) (* 2 (* J l)))

simplify638.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	2001
2	790
1	230
0	91

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ U (* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l)))))
0.1b	(* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l))))
0.3b	(* (sqrt 2) (* J l))
0.4b	(* (sqrt 2) (* (sqrt 2) (* J l)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod` `add-log-exp`
4×	`insert-posit16`
3×	`associate-r` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

21.0ms	(+ U (* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l)))))
122.0ms	(* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l))))
15.0ms	(* (sqrt 2) (* J l))
60.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

series635.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(+ U (* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l)))))
167.0ms	(* (cos (/ K 2)) (* (sqrt 2) (* (sqrt 2) (* J l))))
67.0ms	(* (sqrt 2) (* J l))
95.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

simplify870.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2000
2	1335
1	304
0	116

prune527.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ U (* 1 (* (* 2 J) (* l (cos (/ K 2))))))
0.1b	(* (* 2 J) (* l (cos (/ K 2))))
0.1b	(* l (cos (/ K 2)))

rewrite87.0ms

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`
6×	`*-un-lft-identity`
5×	`add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

23.0ms	(+ U (* 1 (* (* 2 J) (* l (cos (/ K 2))))))
45.0ms	(* (* 2 J) (* l (cos (/ K 2))))
18.0ms	(* l (cos (/ K 2)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ U (* 1 (* (* 2 J) (* l (cos (/ K 2))))))
88.0ms	(* (* 2 J) (* l (cos (/ K 2))))
55.0ms	(* l (cos (/ K 2)))

simplify824.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
2	1012
1	269
0	101

prune281.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes802.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	13

end0.0ms

sample10.1s

Algorithm

intervals

Results

3.5s	2602×	body	1280	valid
2.3s	2678×	body	640	valid
2.0s	8312×	body	80	valid
1.4s	1374×	body	320	valid
294.0ms	762×	body	160	valid