Details

sample15.2s

Algorithm

intervals

Results

14.6s	1942×	body	10240	exit
428.0ms	160×	body	1280	valid
120.0ms	86×	body	640	valid
7.0ms	9×	body	320	valid
1.0ms	1×	body	160	valid

simplify28.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

28.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

7.7b	(cos (- lambda1 lambda2))
7.6b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))

rewrite53.0ms

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

17.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
14.0ms	(cos (- lambda1 lambda2))
12.0ms	(sin (- lambda1 lambda2))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))

series323.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
107.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
35.0ms	(cos (- lambda1 lambda2))
35.0ms	(sin (- lambda1 lambda2))

simplify1.9s

Counts

34 → 70

Calls

34 calls:

Slowest

363.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
339.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
254.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
194.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
191.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.9m

Algorithm

intervals

Results

6.6m	59455×	body	10240	exit
13.3s	5335×	body	1280	valid
4.3s	2143×	body	640	valid
456.0ms	423×	body	320	valid
50.0ms	86×	body	160	valid
3.0ms	13×	body	80	valid