Details

sample220.0ms

Algorithm

intervals

Results

97.0ms	82×	body	1280	valid
37.0ms	71×	body	640	valid
27.0ms	247×	body	80	valid
16.0ms	43×	body	320	valid
5.0ms	22×	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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.1b	(- (exp l) (exp (- l)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
8×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `fma-neg` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

61.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
55.0ms	(* J (- (exp l) (exp (- l))))
77.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
13.0ms	(- (exp l) (exp (- l)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
76.0ms	(* J (- (exp l) (exp (- l))))
127.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
50.0ms	(- (exp l) (exp (- l)))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1301
1	477
0	199

prune914.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* l (+ (* 1/3 (* l l)) 2))
0.0b	(* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2))))
0.1b	(* (* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2.0)))
0.2b	(* 1/3 (* l l))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `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`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `fma-udef`
1×	`flip3-+` `flip-+`

Counts

4 → 87

Calls

4 calls:

90.0ms	(* l (+ (* 1/3 (* l l)) 2))
11.0ms	(* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2))))
20.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2.0)))
20.0ms	(* 1/3 (* l l))

series572.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* l (+ (* 1/3 (* l l)) 2))
178.0ms	(* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2))))
245.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2.0)))
42.0ms	(* 1/3 (* l l))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1736
1	472
0	162

prune858.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(* l (fma (* l l) 1/3 2))
0.1b	(* 1/60 (pow l 5))
0.1b	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma (* l l) 1/3 2)) J)) (cos (/ K 2.0)))
2.7b	(* (* 1/60 (pow l 5)) J)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
21×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-cbrt-cube`
12×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
11×	`associate-l`
10×	`pow1`
6×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `fma-udef` `sqr-pow`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `distribute-rgt-out` `flip-+`

Counts

4 → 93

Calls

4 calls:

12.0ms	(* l (fma (* l l) 1/3 2))
19.0ms	(* 1/60 (pow l 5))
94.0ms	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma (* l l) 1/3 2)) J)) (cos (/ K 2.0)))
34.0ms	(* (* 1/60 (pow l 5)) J)

series442.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* l (fma (* l l) 1/3 2))
74.0ms	(* 1/60 (pow l 5))
155.0ms	(* (+ (* (* 1/60 (pow l 5)) J) (* (* l (fma (* l l) 1/3 2)) J)) (cos (/ K 2.0)))
70.0ms	(* (* 1/60 (pow l 5)) J)

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1485
1	416
0	172

prune942.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow l 5) 1/60)
0.1b	(* J (* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0))))
0.1b	(* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0)))
0.3b	(* l 1/3)

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` `log1p-expm1-u` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 87

Calls

4 calls:

19.0ms	(* (pow l 5) 1/60)
28.0ms	(* J (* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0))))
13.0ms	(* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0)))
11.0ms	(* l 1/3)

series479.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (pow l 5) 1/60)
243.0ms	(* J (* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0))))
137.0ms	(* (fma l (fma l (* l 1/3) 2) (* (pow l 5) 1/60)) (cos (/ K 2.0)))
32.0ms	(* l 1/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1134
1	372
0	163

prune857.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes750.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.4s	2670×	body	1280	valid
1.9s	2656×	body	640	valid
1.2s	8314×	body	80	valid
930.0ms	1414×	body	320	valid
243.0ms	756×	body	160	valid