Details

sample16.0s

Algorithm

intervals

Results

15.4s	2005×	body	10240	exit
365.0ms	177×	body	1280	valid
134.0ms	66×	body	640	valid
11.0ms	11×	body	320	valid
1.0ms	2×	body	160	valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

8.6b	(cos (- lambda1 lambda2))
8.6b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))

rewrite55.0ms

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

21.0ms	(cos (- lambda1 lambda2))
17.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
8.0ms	(sin (- lambda1 lambda2))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
83.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
31.0ms	(sin (- lambda1 lambda2))
23.0ms	(cos (- lambda1 lambda2))

simplify4.7s

Counts

79 → 70

Calls

79 calls:

Slowest

697.0ms	(- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (cos (- lambda1 lambda2))) (* (cos phi2) (cos (- lambda1 lambda2)))))
434.0ms	(* (* (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
415.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
369.0ms	(+ (pow (cos phi1) 3) (pow (* (cos phi2) (cos (- lambda1 lambda2))) 3))
285.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7m

Algorithm

intervals

Results

7.3m	59625×	body	10240	exit
14.6s	5386×	body	1280	valid
3.5s	2113×	body	640	valid
850.0ms	410×	body	320	valid
78.0ms	76×	body	160	valid
5.0ms	15×	body	80	valid