Details

sample15.2s

Algorithm

intervals

Results

14.4s	1904×	body	10240	exit
522.0ms	189×	body	1280	valid
140.0ms	56×	body	640	valid
10.0ms	9×	body	320	valid
1.0ms	1×	body	160	valid
0.0ms	1×	body	80	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

localize51.0ms

Local error

Found 4 expressions with local error:

9.9b	(cos (- lambda1 lambda2))
9.7b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite71.0ms

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

29.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
16.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
15.0ms	(sin (- lambda1 lambda2))
10.0ms	(cos (- lambda1 lambda2))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
83.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
36.0ms	(sin (- lambda1 lambda2))
27.0ms	(cos (- lambda1 lambda2))

simplify1.7s

Counts

35 → 71

Calls

35 calls:

Slowest

415.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
271.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
184.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
180.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
92.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.4m	60383×	body	10240	exit
14.8s	5412×	body	1280	valid
3.8s	2068×	body	640	valid
523.0ms	424×	body	320	valid
492.0ms	73×	body	160	valid
7.0ms	23×	body	80	valid