Details

sample14.9s

Algorithm

intervals

Results

14.2s	1895×	body	10240	exit
412.0ms	166×	body	1280	valid
126.0ms	73×	body	640	valid
18.0ms	14×	body	320	valid
2.0ms	3×	body	160	valid

simplify37.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

37.0ms

(+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

7.6b	(sin (- lambda1 lambda2))
7.6b	(cos (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

19.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
9.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
9.0ms	(sin (- lambda1 lambda2))
8.0ms	(cos (- lambda1 lambda2))

series323.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
75.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
41.0ms	(sin (- lambda1 lambda2))
39.0ms	(cos (- lambda1 lambda2))

simplify1.8s

Counts

34 → 70

Calls

34 calls:

Slowest

417.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
260.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
226.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
186.0ms	(- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
173.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.4m

Algorithm

intervals

Results

7.0m	58322×	body	10240	exit
14.5s	5406×	body	1280	valid
3.8s	2074×	body	640	valid
1.0s	417×	body	320	valid
58.0ms	91×	body	160	valid
4.0ms	12×	body	80	valid