Details

sample285.0ms

Algorithm

intervals

Results

95.0ms	87×	body	640	valid
88.0ms	92×	body	1280	valid
48.0ms	294×	body	80	valid
24.0ms	51×	body	320	valid
4.0ms	13×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3163
6	1067
5	416
4	202
3	85
2	44
1	24
0	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
4.8b	(- (exp l) (exp (- l)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

36.0ms	(* J (- (exp l) (exp (- l))))
64.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
19.0ms	(- (exp l) (exp (- l)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* J (- (exp l) (exp (- l))))
125.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
42.0ms	(- (exp l) (exp (- l)))

simplify3.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	4144
2	1002
1	386
0	168

prune512.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))
0.0b	(* (pow l 5) 1/60)
0.1b	(* (* J (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.3b	(* 1/3 l)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `unpow-prod-down` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp` `fma-udef`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))
17.0ms	(* (pow l 5) 1/60)
31.0ms	(* (* J (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))) (cos (/ K 2)))
5.0ms	(* 1/3 l)

series364.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))
64.0ms	(* (pow l 5) 1/60)
199.0ms	(* (* J (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60))) (cos (/ K 2)))
27.0ms	(* 1/3 l)

simplify3.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4892
2	965
1	338
0	150

prune606.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow l 5) 1/60)
0.1b	(* J (* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2))))
0.1b	(* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2)))
0.3b	(* 1/3 l)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* (pow l 5) 1/60)
32.0ms	(* J (* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2))))
14.0ms	(* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2)))
10.0ms	(* 1/3 l)

series411.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (pow l 5) 1/60)
208.0ms	(* J (* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2))))
118.0ms	(* (fma l (fma (* 1/3 l) l 2) (* (pow l 5) 1/60)) (cos (/ K 2)))
18.0ms	(* 1/3 l)

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1108
1	368
0	165

prune681.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 l)
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

10.0ms	(* 1/3 l)
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))
2.0ms	(cbrt (cos (/ K 2)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1/3 l)
140.0ms	(cbrt (cos (/ K 2)))
138.0ms	(cbrt (cos (/ K 2)))
151.0ms	(cbrt (cos (/ K 2)))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
4	2017
3	592
2	220
1	122
0	65

prune514.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes423.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample10.1s

Algorithm

intervals

Results

3.7s	2644×	body	1280	valid
2.6s	2558×	body	640	valid
2.0s	8331×	body	80	valid
894.0ms	1460×	body	320	valid
316.0ms	732×	body	160	valid