Details

sample14.2s

Algorithm

intervals

Results

13.6s	1830×	body	10240	exit
316.0ms	164×	body	1280	valid
147.0ms	77×	body	640	valid
10.0ms	10×	body	320	valid
3.0ms	5×	body	160	valid

simplify35.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

35.0ms

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

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

8.5b	(sin (- lambda1 lambda2))
8.4b	(cos (- lambda1 lambda2))
0.6b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

Slowest

33.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
9.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
8.0ms	(sin (- lambda1 lambda2))
7.0ms	(cos (- lambda1 lambda2))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
93.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
26.0ms	(sin (- lambda1 lambda2))
21.0ms	(cos (- lambda1 lambda2))

simplify1.8s

Counts

35 → 71

Calls

35 calls:

Slowest

437.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
290.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
218.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
176.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
104.0ms	(- (+ 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

sample7.7m

Algorithm

intervals

Results

7.3m	59103×	body	10240	exit
16.2s	5421×	body	1280	valid
4.2s	2078×	body	640	valid
379.0ms	380×	body	320	valid
107.0ms	102×	body	160	valid
6.0ms	19×	body	80	valid