Details

sample192.0ms

Algorithm

intervals

Results

78.0ms	79×	body	1280	valid
37.0ms	77×	body	640	valid
26.0ms	280×	body	80	valid
13.0ms	48×	body	320	valid
4.0ms	24×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
0.0b	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
5.9b	(- (exp l) (exp (- l)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

65.0ms	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
54.0ms	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
13.0ms	(- (exp l) (exp (- l)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (- (exp l) (exp (- l))) (cos (/ K 2.0)))
122.0ms	(* J (* (- (exp l) (exp (- l))) (cos (/ K 2.0))))
53.0ms	(- (exp l) (exp (- l)))

simplify682.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1176
1	273
0	114

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`associate-r`
16×	`associate-l`
15×	`add-cbrt-cube`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `pow-prod-down` `associate-l/` `-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `pow-exp` `associate-*r/` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 96

Calls

4 calls:

18.0ms	(* (pow l 5) 1/60)
201.0ms	(* J (* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0))))
235.0ms	(* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0)))
29.0ms	(* 1/3 (pow l 3))

series501.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (pow l 5) 1/60)
259.0ms	(* J (* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0))))
104.0ms	(* (+ (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))) (cos (/ K 2.0)))
73.0ms	(* 1/3 (pow l 3))

simplify1.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	2380
1	481
0	183

prune940.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt J) (cbrt J))
0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt J)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (cbrt J) (cbrt J))
2.0ms	(cbrt J)
1.0ms	(cbrt J)
1.0ms	(cbrt J)

series1.2s

Counts

4 → 12

Calls

4 calls:

334.0ms	(* (cbrt J) (cbrt J))
300.0ms	(cbrt J)
263.0ms	(cbrt J)
314.0ms	(cbrt J)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune682.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow l 3) 1/3)
0.1b	(* (pow l 3) 1/3)
7.5b	(* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J)
17.3b	(/ (* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J) (- (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`associate-l`
22×	`add-cbrt-cube`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`prod-exp`
9×	`pow1` `associate-r`
8×	`unpow-prod-down` `cube-prod` `associate-*l/` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cbrt-undiv` `associate-/r` `times-frac` `flip3--` `div-exp` `pow-prod-down` `-commutative` `flip--`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (pow l 3) 1/3)
20.0ms	(* (pow l 3) 1/3)
53.0ms	(* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J)
126.0ms	(/ (* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J) (- (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (pow l 3) 1/3)
52.0ms	(* (pow l 3) 1/3)
234.0ms	(* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J)
320.0ms	(/ (* (* (- (* (pow l 10) 1/3600) (* (+ (+ (* (pow l 3) 1/3) l) l) (+ (+ (* (pow l 3) 1/3) l) l))) (cos (/ K 2.0))) J) (- (* (pow l 5) 1/60) (+ (* 1/3 (pow l 3)) (+ l l))))

simplify2.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	3723
1	565
0	189

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes663.0ms

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	28
1	28
0	21

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.4s	2726×	body	1280	valid
2.4s	2698×	body	640	valid
1.1s	8322×	body	80	valid
492.0ms	1438×	body	320	valid
151.0ms	762×	body	160	valid