Details

sample15.6s

Algorithm

intervals

Results

14.5s	2053×	body	10240	exit
452.0ms	183×	body	1280	valid
429.0ms	14×	body	320	valid
76.0ms	56×	body	640	valid
2.0ms	3×	body	160	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

7.2b	(cos (- lambda1 lambda2))
7.0b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite70.0ms

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

32.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
16.0ms	(cos (- lambda1 lambda2))
13.0ms	(sin (- lambda1 lambda2))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
86.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
31.0ms	(sin (- lambda1 lambda2))
20.0ms	(cos (- lambda1 lambda2))

simplify1.8s

Counts

35 → 71

Calls

35 calls:

Slowest

373.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
319.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
188.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
159.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
96.0ms	(* (* (cos lambda1) (sin (- lambda2))) (cos phi2))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7m

Algorithm

intervals

Results

7.3m	60654×	body	10240	exit
14.0s	5380×	body	1280	valid
3.8s	2081×	body	640	valid
393.0ms	421×	body	320	valid
62.0ms	98×	body	160	valid
6.0ms	20×	body	80	valid