Details

sample16.3s

Algorithm

intervals

Results

15.7s	2117×	body	10240	exit
404.0ms	177×	body	1280	valid
81.0ms	63×	body	640	valid
12.0ms	13×	body	320	valid
1.0ms	2×	body	80	valid
0.0ms	1×	body	160	valid

simplify456.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

455.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

7.8b	(cos (- lambda1 lambda2))
7.7b	(sin (- lambda1 lambda2))
0.6b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite93.0ms

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

34.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
27.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
16.0ms	(cos (- lambda1 lambda2))
16.0ms	(sin (- lambda1 lambda2))

series269.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
78.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
32.0ms	(sin (- lambda1 lambda2))
20.0ms	(cos (- lambda1 lambda2))

simplify1.8s

Counts

35 → 71

Calls

35 calls:

Slowest

398.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
265.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
162.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
160.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
138.0ms	(- (+ 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

sample7.1m

Algorithm

intervals

Results

6.7m	59619×	body	10240	exit
13.5s	5402×	body	1280	valid
4.4s	2092×	body	640	valid
528.0ms	405×	body	320	valid
77.0ms	83×	body	160	valid
5.0ms	18×	body	80	valid