Details

sample255.0ms

Algorithm

intervals

Results

120.0ms	92×	body	1280	valid
49.0ms	87×	body	640	valid
39.0ms	294×	body	80	valid
22.0ms	51×	body	320	valid
3.0ms	13×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune14.0ms

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)))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

97.0ms	(* J (- (exp l) (exp (- l))))
328.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
31.0ms	(- (exp l) (exp (- l)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* J (- (exp l) (exp (- l))))
130.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
66.0ms	(- (exp l) (exp (- l)))

simplify3.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
3	4135
2	1064
1	414
0	179

prune651.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`associate-l`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`unswap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
15.0ms	(* l (fma 1/3 (* l l) 2))
14.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
54.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
121.0ms	(* l (fma 1/3 (* l l) 2))
234.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
250.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

simplify3.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4748
2	977
1	339
0	145

prune712.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`associate-r`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`unswap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
61.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
24.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* l (fma 1/3 (* l l) 2))
105.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
239.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
101.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1110
1	345
0	148

prune708.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`associate-l`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`unswap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
53.0ms	(* (* J (cos (/ K 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
24.0ms	(* J (cos (/ K 2)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* l (fma 1/3 (* l l) 2))
97.0ms	(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
361.0ms	(* (* J (cos (/ K 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
57.0ms	(* J (cos (/ K 2)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1128
1	344
0	145

prune768.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes501.0ms

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	22
1	22
0	18

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.2s	2644×	body	1280	valid
3.0s	2558×	body	640	valid
2.3s	8331×	body	80	valid
889.0ms	1460×	body	320	valid
244.0ms	732×	body	160	valid