Details

sample269.0ms

Algorithm

intervals

Results

95.0ms	90×	body	1280	valid
73.0ms	79×	body	640	valid
42.0ms	269×	body	80	valid
26.0ms	49×	body	320	valid
7.0ms	23×	body	160	valid

simplify928.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
6	1067
5	416
4	202
3	85
2	44
1	24
0	14

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

18.0ms	(* J (exp l))
12.0ms	(/ J (exp l))
0.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
15.0ms	(- (* J (exp l)) (/ J (exp l)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* J (exp l))
28.0ms	(/ J (exp l))
205.0ms	(fma (- (* J (exp l)) (/ J (exp l))) (cos (/ K 2)) U)
77.0ms	(- (* J (exp l)) (/ J (exp l)))

simplify900.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2001
2	1464
1	501
0	201

prune715.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

25.0ms	(* 2 (* J l))
1.0ms	(fma (* 2 (* J l)) (cos (/ K 2)) U)

series179.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* 2 (* J l))
144.0ms	(fma (* 2 (* J l)) (cos (/ K 2)) U)

simplify800.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	2002
3	1076
2	345
1	128
0	61

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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)
16.0ms	(* (sqrt 2) (* J l))
55.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

series486.0ms

Counts

3 → 9

Calls

3 calls:

285.0ms	(fma (* (sqrt 2) (* (sqrt 2) (* J l))) (cos (/ K 2)) U)
80.0ms	(* (sqrt 2) (* J l))
122.0ms	(* (sqrt 2) (* (sqrt 2) (* J l)))

simplify745.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2002
2	824
1	198
0	86

prune461.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
0.5b	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
0.5b	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
0.5b	(* (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)) (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)))

rewrite22.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

1.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
1.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
1.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
16.0ms	(* (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)) (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)))

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
299.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
261.0ms	(cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U))
314.0ms	(* (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)) (cbrt (fma (* 2 (* J l)) (cos (/ K 2)) U)))

simplify730.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
2	655
1	254
0	111

prune636.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes532.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.6s	2602×	body	1280	valid
3.1s	2678×	body	640	valid
1.6s	8312×	body	80	valid
824.0ms	1374×	body	320	valid
289.0ms	762×	body	160	valid