Details

sample848.0ms

Algorithm

intervals

Results

664.0ms	126×	body	1280	valid
94.0ms	67×	body	640	valid
54.0ms	27×	body	320	valid
9.0ms	13×	body	160	valid
6.0ms	23×	body	80	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	20
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
2.3b	(sin (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`cos-diff`
2×	`cos-sum` `associate-+r+` `sub-neg` `sin-sum`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `sin-diff` `flip-+`

Counts

4 → 44

Calls

4 calls:

0.0ms	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
17.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
13.0ms	(sin (- lambda1 lambda2))
8.0ms	(cos (- lambda1 lambda2))

series219.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
139.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
34.0ms	(sin (- lambda1 lambda2))
29.0ms	(cos (- lambda1 lambda2))

simplify809.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
3	1169
2	480
1	211
0	101

prune488.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize73.0ms

Local error

Found 4 expressions with local error:

2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cos-sum`
4×	`cos-diff` `add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

8.0ms	(cos (- lambda1 lambda2))
10.0ms	(cos (- lambda1 lambda2))
16.0ms	(cos (- lambda1 lambda2))
18.0ms	(cos (- lambda1 lambda2))

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cos (- lambda1 lambda2))
35.0ms	(cos (- lambda1 lambda2))
30.0ms	(cos (- lambda1 lambda2))
24.0ms	(cos (- lambda1 lambda2))

simplify986.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2001
6	1611
5	763
4	301
3	164
2	79
1	50
0	31

prune649.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize121.0ms

Local error

Found 4 expressions with local error:

2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cos-sum`
4×	`cos-diff` `add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

9.0ms	(cos (- lambda1 lambda2))
16.0ms	(cos (- lambda1 lambda2))
8.0ms	(cos (- lambda1 lambda2))
8.0ms	(cos (- lambda1 lambda2))

series107.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cos (- lambda1 lambda2))
31.0ms	(cos (- lambda1 lambda2))
22.0ms	(cos (- lambda1 lambda2))
22.0ms	(cos (- lambda1 lambda2))

simplify1.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	2001
6	1611
5	763
4	301
3	164
2	79
1	50
0	31

prune787.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize168.0ms

Local error

Found 4 expressions with local error:

2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))
2.4b	(cos (- lambda1 lambda2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cos-sum`
4×	`cos-diff` `add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

9.0ms	(cos (- lambda1 lambda2))
15.0ms	(cos (- lambda1 lambda2))
10.0ms	(cos (- lambda1 lambda2))
8.0ms	(cos (- lambda1 lambda2))

series93.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cos (- lambda1 lambda2))
26.0ms	(cos (- lambda1 lambda2))
24.0ms	(cos (- lambda1 lambda2))
20.0ms	(cos (- lambda1 lambda2))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	2001
6	1611
5	763
4	301
3	164
2	79
1	50
0	31

prune726.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes791.0ms

Accuracy

0% (0.2b remaining)

Error of 0.9b against oracle of 0.7b and baseline of 0.9b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	50
1	50
0	35

end0.0ms

sample15.2s

Algorithm

intervals

Results

9.2s	3562×	body	1280	valid
3.9s	2321×	body	640	valid
1.3s	958×	body	320	valid
285.0ms	451×	body	160	valid
203.0ms	708×	body	80	valid