Details

sample361.0ms

Algorithm

intervals

Results

168.0ms	92×	body	1280	valid
80.0ms	99×	body	640	valid
51.0ms	274×	body	80	valid
25.0ms	41×	body	320	valid
8.0ms	21×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
9	2396
8	1697
7	948
6	527
5	277
4	181
3	78
2	39
1	23
0	14

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ J (exp l))
0.0b	(* (exp l) J)
0.0b	(* (cos (/ K 2)) (- (* (exp l) J) (/ J (exp l))))
5.4b	(- (* (exp l) J) (/ J (exp l)))

rewrite100.0ms

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`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `sub-neg` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/ J (exp l))
12.0ms	(* (exp l) J)
64.0ms	(* (cos (/ K 2)) (- (* (exp l) J) (/ J (exp l))))
13.0ms	(- (* (exp l) J) (/ J (exp l)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ J (exp l))
27.0ms	(* (exp l) J)
135.0ms	(* (cos (/ K 2)) (- (* (exp l) J) (/ J (exp l))))
523.0ms	(- (* (exp l) J) (/ J (exp l)))

simplify2.7s

Counts

97 → 97

Iterations

Iter	Nodes
3	2529
2	896
1	320
0	141

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:

14.0ms	(* 2 (* J l))
9.0ms	(+ U (* (cos (/ K 2)) (* 2 (* J l))))
51.0ms	(* (cos (/ K 2)) (* 2 (* J l)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* 2 (* J l))
169.0ms	(+ U (* (cos (/ K 2)) (* 2 (* J l))))
76.0ms	(* (cos (/ K 2)) (* 2 (* J l)))

simplify1.1s

Counts

62 → 62

Iterations

Iter	Nodes
3	3752
2	790
1	230
0	91

prune759.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

9.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
138.0ms	(cbrt (cos (/ K 2)))
137.0ms	(cbrt (cos (/ K 2)))
144.0ms	(cbrt (cos (/ K 2)))

simplify3.2s

Counts

89 → 89

Iterations

Iter	Nodes
5	6281
4	1940
3	763
2	340
1	148
0	71

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.4b	(cbrt (cbrt (cos (/ K 2))))
0.4b	(cbrt (cbrt (cos (/ K 2))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cbrt (cos (/ K 2))))
1.0ms	(cbrt (cbrt (cos (/ K 2))))

series632.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (cos (/ K 2)))
171.0ms	(cbrt (cos (/ K 2)))
143.0ms	(cbrt (cbrt (cos (/ K 2))))
135.0ms	(cbrt (cbrt (cos (/ K 2))))

simplify1.6s

Counts

66 → 66

Iterations

Iter	Nodes
5	2958
4	1040
3	387
2	149
1	85
0	52

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes463.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	11

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.1s	2717×	body	1280	valid
2.4s	2675×	body	640	valid
1.6s	8586×	body	80	valid
1.3s	1435×	body	320	valid
282.0ms	743×	body	160	valid