Details

Algorithm

intervals

Results

Calls

1 calls:

Slowest

27.0ms

(+ 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:

8.3b	(cos (- lambda1 lambda2))
8.2b	(sin (- lambda1 lambda2))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

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`

Calls

4 calls:

Slowest

31.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
10.0ms	(cos (- lambda1 lambda2))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
8.0ms	(sin (- lambda1 lambda2))

Calls

4 calls:

Slowest

144.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
77.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
26.0ms	(cos (- lambda1 lambda2))
26.0ms	(sin (- lambda1 lambda2))

Calls

35 calls:

Slowest

414.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
272.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
234.0ms	(- 2 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2))))
201.0ms	(* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2)))))
138.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

Algorithm

intervals

Results