Details

sample312.0ms

Algorithm

intervals

Results

106.0ms	93×	body	1280	valid
98.0ms	85×	body	640	valid
50.0ms	269×	body	80	valid
24.0ms	46×	body	320	valid
6.0ms	21×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1004
5	361
4	183
3	80
2	41
1	23
0	14

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.2b

localize36.0ms

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)))
5.7b	(- (exp l) (exp (- l)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

66.0ms	(* J (- (exp l) (exp (- l))))
92.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
21.0ms	(- (exp l) (exp (- l)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* J (- (exp l) (exp (- l))))
157.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
69.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	2005
3	2005
2	847
1	282
0	114

prune984.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
25×	`add-cbrt-cube`
23×	`pow1`
16×	`add-sqr-sqrt`
15×	`prod-exp`
13×	`cbrt-unprod`
12×	`associate-l` `pow-prod-down`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* (pow l 5) 1/60)
45.0ms	(* (* 1/3 (* l l)) l)
1.1s	(* (* J (+ (+ (* (* 1/3 (* l l)) l) (+ l l)) (* (pow l 5) 1/60))) (cos (/ K 2)))
15.0ms	(* 1/3 (* l l))

series402.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (pow l 5) 1/60)
79.0ms	(* (* 1/3 (* l l)) l)
183.0ms	(* (* J (+ (+ (* (* 1/3 (* l l)) l) (+ l l)) (* (pow l 5) 1/60))) (cos (/ K 2)))
44.0ms	(* 1/3 (* l l))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	2006
3	2006
2	1946
1	473
0	166

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
12×	`associate-r` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
5×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 86

Calls

4 calls:

14.0ms	(* 1/60 (pow l 5))
51.0ms	(* (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5))) (* J (cos (/ K 2))))
7.0ms	(* J (cos (/ K 2)))
13.0ms	(* 1/3 (* l l))

series333.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 1/60 (pow l 5))
157.0ms	(* (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5))) (* J (cos (/ K 2))))
61.0ms	(* J (cos (/ K 2)))
46.0ms	(* 1/3 (* l l))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	2001
3	2001
2	1433
1	415
0	161

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
12×	`associate-r` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 94

Calls

4 calls:

8.0ms	(* 1/60 (pow l 5))
85.0ms	(* J (* (cos (/ K 2)) (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5)))))
68.0ms	(* (cos (/ K 2)) (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5))))
26.0ms	(* 1/3 (* l l))

series640.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 1/60 (pow l 5))
292.0ms	(* J (* (cos (/ K 2)) (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5)))))
243.0ms	(* (cos (/ K 2)) (+ (* l (+ 2 (* 1/3 (* l l)))) (* 1/60 (pow l 5))))
38.0ms	(* 1/3 (* l l))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	2001
3	2001
2	1998
1	532
0	193

prune1.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes576.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	32
1	32
0	22

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.0s	2669×	body	1280	valid
2.2s	2611×	body	640	valid
2.1s	8319×	body	80	valid
822.0ms	1465×	body	320	valid
293.0ms	749×	body	160	valid