Details

sample318.0ms

Algorithm

intervals

Results

116.0ms	104×	body	1280	valid
99.0ms	92×	body	640	valid
43.0ms	236×	body	80	valid
23.0ms	42×	body	320	valid
7.0ms	21×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
9	2326
8	1689
7	945
6	535
5	284
4	183
3	80
2	41
1	23
0	14

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize42.0ms

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)))
5.2b	(- (exp l) (exp (- l)))

rewrite140.0ms

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:

35.0ms	(* J (- (exp l) (exp (- l))))
86.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
13.0ms	(- (exp l) (exp (- l)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* J (- (exp l) (exp (- l))))
150.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
48.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
3	3015
2	731
1	276
0	114

prune996.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

19.0ms	(* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
8.0ms	(* (pow l 5) 1/60)
77.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
26.0ms	(* 1/3 (* l l))

series506.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
63.0ms	(* (pow l 5) 1/60)
228.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
42.0ms	(* 1/3 (* l l))

simplify5.8s

Counts

102 → 102

Iterations

Iter	Nodes
3	10761
2	1714
1	463
0	170

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/3 l) (* l l))
0.1b	(* J (* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2))))
0.1b	(* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2)))
0.3b	(* 1/3 l)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

22.0ms	(* (* 1/3 l) (* l l))
542.0ms	(* J (* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2))))
481.0ms	(* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2)))
11.0ms	(* 1/3 l)

series383.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* 1/3 l) (* l l))
194.0ms	(* J (* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2))))
126.0ms	(* (+ (+ (* (* 1/3 l) (* l l)) (* 2 l)) (* 1/60 (* (* l l) (* l (* l l))))) (cos (/ K 2)))
16.0ms	(* 1/3 l)

simplify5.1s

Counts

96 → 96

Iterations

Iter	Nodes
3	9176
2	1478
1	403
0	153

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `associate-l` `pow-prod-up`
4×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `flip3-+` `associate-*l/` `pow-sqr` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 96

Calls

4 calls:

29.0ms	(* (* l l) l)
110.0ms	(* (* (* l l) l) (+ (* 1/60 (* l l)) 1/3))
26.0ms	(* 1/60 (* l l))
68.0ms	(* (* J (+ (* l 2) (* (* (* l l) l) (+ (* 1/60 (* l l)) 1/3)))) (cos (/ K 2)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* l l) l)
184.0ms	(* (* (* l l) l) (+ (* 1/60 (* l l)) 1/3))
49.0ms	(* 1/60 (* l l))
268.0ms	(* (* J (+ (* l 2) (* (* (* l l) l) (+ (* 1/60 (* l l)) 1/3)))) (cos (/ K 2)))

simplify934.0ms

Counts

108 → 108

Iterations

Iter	Nodes
2	2043
1	503
0	164

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes530.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	28
1	28
0	19

end0.0ms

sample9.6s

Algorithm

intervals

Results

3.7s	2636×	body	1280	valid
2.2s	2633×	body	640	valid
2.0s	8449×	body	80	valid
800.0ms	1474×	body	320	valid
312.0ms	739×	body	160	valid