Details

sample277.0ms

Algorithm

intervals

Results

115.0ms	87×	body	1280	valid
66.0ms	87×	body	640	valid
39.0ms	253×	body	80	valid
20.0ms	42×	body	320	valid
10.0ms	34×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
8	2007
7	1093
6	610
5	337
4	198
3	83
2	42
1	24
0	14

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
6.8b	(- (exp l) (exp (- l)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 52

Calls

2 calls:

57.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
32.0ms	(- (exp l) (exp (- l)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
46.0ms	(- (exp l) (exp (- l)))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
3	2474
2	801
1	297
0	124

prune742.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(* l (+ (* (* l l) 1/3) 2))
0.1b	(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
0.2b	(* (* l l) 1/3)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-r`
7×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
5×	`associate-l`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 68

Calls

3 calls:

51.0ms	(* l (+ (* (* l l) 1/3) 2))
16.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
15.0ms	(* (* l l) 1/3)

series376.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(* l (+ (* (* l l) 1/3) 2))
214.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
30.0ms	(* (* l l) 1/3)

simplify3.9s

Counts

77 → 77

Iterations

Iter	Nodes
3	5713
2	1232
1	379
0	140

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* l l) l)
0.1b	(* J (* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l))))))
0.1b	(* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
0.4b	(* l 1/3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up` `fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-sqr`
1×	`pow3`

Counts

4 → 100

Calls

4 calls:

15.0ms	(* (* l l) l)
15.0ms	(* J (* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l))))))
7.0ms	(* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
5.0ms	(* l 1/3)

series632.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* l l) l)
356.0ms	(* J (* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l))))))
186.0ms	(* (cos (/ K 2)) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
23.0ms	(* l 1/3)

simplify3.1s

Counts

112 → 112

Iterations

Iter	Nodes
3	4736
2	1170
1	401
0	172

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* l l) l)
0.1b	(* (* J (cos (/ K 2))) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
0.1b	(* J (cos (/ K 2)))
0.4b	(* l 1/3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 96

Calls

4 calls:

15.0ms	(* (* l l) l)
17.0ms	(* (* J (cos (/ K 2))) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
7.0ms	(* J (cos (/ K 2)))
5.0ms	(* l 1/3)

series426.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* l l) l)
301.0ms	(* (* J (cos (/ K 2))) (fma (fma l (* l 1/3) 2) l (* 1/60 (* (* (* l l) l) (* l l)))))
52.0ms	(* J (cos (/ K 2)))
32.0ms	(* l 1/3)

simplify2.6s

Counts

108 → 108

Iterations

Iter	Nodes
3	3783
2	950
1	343
0	151

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes387.0ms

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
2	25
1	25
0	19

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.1s	2601×	body	640	valid
3.0s	2515×	body	1280	valid
1.8s	8391×	body	80	valid
1.3s	1462×	body	320	valid
436.0ms	728×	body	160	valid