Details

Algorithm

intervals

Results

Calls

1 calls:

Slowest

17.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

Local error

Found 4 expressions with local error:

7.0b	(cos (- lambda1 lambda2))
6.6b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (cos (- lambda1 lambda2)))

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `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-+`

Calls

4 calls:

Slowest

8.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
5.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
2.0ms	(cos (- lambda1 lambda2))
2.0ms	(sin (- lambda1 lambda2))

Calls

4 calls:

Slowest

108.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
57.0ms	(* (cos phi2) (cos (- lambda1 lambda2)))
28.0ms	(sin (- lambda1 lambda2))
27.0ms	(cos (- lambda1 lambda2))

Calls

32 calls:

Slowest

166.0ms	(- 1 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
155.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
136.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
101.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))
89.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

Algorithm

intervals

Results