Details

sample15.3s

Algorithm

intervals

Results

13.8s	1976×	body	10240	exit
865.0ms	173×	body	1280	valid
503.0ms	65×	body	640	valid
53.0ms	15×	body	320	valid
2.0ms	3×	body	160	valid

simplify36.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

36.0ms

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

7.2b	(sin (- lambda1 lambda2))
7.0b	(cos (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))

rewrite79.0ms

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

29.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
17.0ms	(sin (- lambda1 lambda2))
16.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
16.0ms	(cos (- lambda1 lambda2))

series337.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
104.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
29.0ms	(cos (- lambda1 lambda2))
24.0ms	(sin (- lambda1 lambda2))

simplify1.7s

Counts

34 → 70

Calls

34 calls:

Slowest

436.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
232.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
216.0ms	(- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
189.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
136.0ms	(- 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

sample7.6m

Algorithm

intervals

Results

7.3m	60036×	body	10240	exit
14.4s	5346×	body	1280	valid
4.7s	2116×	body	640	valid
582.0ms	437×	body	320	valid
55.0ms	84×	body	160	valid
5.0ms	17×	body	80	valid