Details

sample30.1s

Algorithm

intervals

Results

28.2s	1862×	body	10240	exit
677.0ms	75×	body	640	valid
603.0ms	136×	body	1280	valid
362.0ms	13×	body	80	valid
41.0ms	21×	body	320	valid
14.0ms	11×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	55
3	55
2	54
1	35
0	22

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.3b	(* (sin theta) (sin delta))
0.4b	(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.4b	(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `sin-mult` `unswap-sqr`
1×	`asin-acos` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

20.0ms	(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
22.0ms	(* (sin theta) (sin delta))
4.0ms	(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
12.0ms	(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
72.0ms	(* (sin theta) (sin delta))
7.0ms	(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
267.0ms	(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify830.0ms

Counts

74 → 74

Iterations

Iter	Nodes
3	2022
2	713
1	317
0	148

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
2	30
1	30
0	22

end0.0ms

sample9.4m

Algorithm

intervals

Results

9.1m	50142×	body	10240	exit
13.2s	3454×	body	1280	valid
4.9s	1971×	body	640	valid
1.4s	743×	body	320	valid
290.0ms	281×	body	160	valid
127.0ms	248×	body	80	valid