Details

sample241.0ms

Algorithm

intervals

Results

71.0ms	85×	body	1280	valid
68.0ms	77×	body	640	valid
34.0ms	298×	body	80	valid
18.0ms	51×	body	320	valid
6.0ms	28×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3179
6	1004
5	361
4	183
3	80
2	41
1	23
0	14

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp l) J)
0.0b	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
0.3b	(/ J (exp l))
4.2b	(- (* (exp l) J) (/ J (exp l)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 77

Calls

4 calls:

22.0ms	(* (exp l) J)
72.0ms	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
7.0ms	(/ J (exp l))
18.0ms	(- (* (exp l) J) (/ J (exp l)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (exp l) J)
121.0ms	(* (- (* (exp l) J) (/ J (exp l))) (cos (/ K 2.0)))
49.0ms	(/ J (exp l))
123.0ms	(- (* (exp l) J) (/ J (exp l)))

simplify3.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4799
2	1112
1	315
0	137

prune729.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* (+ l l) J) (cos (/ K 2.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-*l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

52.0ms

(* (* (+ l l) J) (cos (/ K 2.0)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* (* (+ l l) J) (cos (/ K 2.0)))

simplify2.6s

Counts

23 → 23

Iterations

Iter	Nodes
done	5006
3	2611
2	520
1	155
0	59

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ l l) (* J (cos (/ K 2.0))))
0.1b	(* J (cos (/ K 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-out` `distribute-lft-out`
2×	`associate-l/` `-commutative` `add-log-exp`
1×	`distribute-lft1-in` `flip3-+` `count-2` `distribute-rgt1-in` `flip-+` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

36.0ms	(* (+ l l) (* J (cos (/ K 2.0))))
8.0ms	(* J (cos (/ K 2.0)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (+ l l) (* J (cos (/ K 2.0))))
54.0ms	(* J (cos (/ K 2.0)))

simplify2.8s

Counts

53 → 53

Iterations

Iter	Nodes
done	5014
3	2945
2	698
1	207
0	83

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (exp l))
0.0b	(* (cos (* 0.5 K)) (* (- (exp l) (/ 1 (exp l))) J))
0.2b	(* (- (exp l) (/ 1 (exp l))) J)
4.2b	(- (exp l) (/ 1 (exp l)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`times-frac` `add-cbrt-cube`
12×	`pow1` `add-exp-log`
11×	`associate-l`
6×	`add-log-exp` `difference-of-squares`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `pow-flip` `distribute-lft-out--`
3×	`exp-prod` `associate-/r` `flip3--` `div-inv` `flip--` `associate-/l`
2×	`div-exp` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `inv-pow` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

8.0ms	(/ 1 (exp l))
102.0ms	(* (cos (* 0.5 K)) (* (- (exp l) (/ 1 (exp l))) J))
76.0ms	(* (- (exp l) (/ 1 (exp l))) J)
16.0ms	(- (exp l) (/ 1 (exp l)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (exp l))
140.0ms	(* (cos (* 0.5 K)) (* (- (exp l) (/ 1 (exp l))) J))
106.0ms	(* (- (exp l) (/ 1 (exp l))) J)
44.0ms	(- (exp l) (/ 1 (exp l)))

simplify3.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5034
3	4101
2	888
1	327
0	150

prune651.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes462.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.8s

Algorithm

intervals

Results

2.6s	2713×	body	1280	valid
1.8s	2627×	body	640	valid
1.7s	8366×	body	80	valid
663.0ms	1460×	body	320	valid
259.0ms	766×	body	160	valid