Details

sample172.0ms

Algorithm

intervals

Results

59.0ms	85×	body	1280	valid
33.0ms	72×	body	640	valid
25.0ms	257×	body	80	valid
13.0ms	49×	body	320	valid
6.0ms	28×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	2572
5	534
4	198
3	82
2	41
1	23
0	14

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.2b	(- (exp l) (exp (- l)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-l/` `associate-r/` `flip--`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

56.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
68.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
17.0ms	(- (exp l) (exp (- l)))

series592.0ms

Counts

3 → 9

Calls

3 calls:

366.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
162.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
63.0ms	(- (exp l) (exp (- l)))

simplify1.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5002
2	1433
1	330
0	125

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-r`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 90

Calls

4 calls:

19.0ms	(* 1/60 (pow l 5))
1.3s	(* (* J (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5)))) (cos (/ K 2.0)))
17.0ms	(* l (* l l))
73.0ms	(* (* l (* l l)) 1/3)

series448.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* 1/60 (pow l 5))
226.0ms	(* (* J (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5)))) (cos (/ K 2.0)))
72.0ms	(* l (* l l))
50.0ms	(* (* l (* l l)) 1/3)

simplify2.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2751
1	465
0	168

prune715.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`associate-l/` `-commutative` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 85

Calls

4 calls:

896.0ms	(* J (* (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5))) (cos (/ K 2.0))))
25.0ms	(* l (* l l))
1.2s	(* (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5))) (cos (/ K 2.0)))
68.0ms	(* (* l (* l l)) 1/3)

series504.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* J (* (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5))) (cos (/ K 2.0))))
44.0ms	(* l (* l l))
151.0ms	(* (+ (+ (* (* l (* l l)) 1/3) (+ l l)) (* 1/60 (pow l 5))) (cos (/ K 2.0)))
61.0ms	(* (* l (* l l)) 1/3)

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	2527
1	426
0	154

prune760.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

19.0ms	(* (pow l 5) 1/60)
77.0ms	(* (+ (* l (+ 2 (* 1/3 (* l l)))) (* (pow l 5) 1/60)) (* (cos (/ K 2.0)) J))
19.0ms	(* (cos (/ K 2.0)) J)
23.0ms	(* 1/3 (* l l))

series414.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (pow l 5) 1/60)
184.0ms	(* (+ (* l (+ 2 (* 1/3 (* l l)))) (* (pow l 5) 1/60)) (* (cos (/ K 2.0)) J))
85.0ms	(* (cos (/ K 2.0)) J)
51.0ms	(* 1/3 (* l l))

simplify1.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	2257
1	422
0	160

prune710.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
2	35
1	34
0	23

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.5s	2620×	body	640	valid
2.1s	2723×	body	1280	valid
1.0s	8456×	body	80	valid
703.0ms	1445×	body	320	valid
186.0ms	747×	body	160	valid