Details

Algorithm

intervals

Results

Calls

1 calls:

Slowest

18.0ms

(+ 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:

6.5b	(sin (- lambda1 lambda2))
6.3b	(cos (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `sin-sum` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `cos-sum` `distribute-lft-in`
1×	`cos-diff` `pow-prod-down` `prod-exp` `sin-diff` `*-commutative` `cbrt-unprod` `fma-udef`

Calls

4 calls:

Slowest

7.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
2.0ms	(sin (- lambda1 lambda2))
2.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

Calls

4 calls:

Slowest

112.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
60.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
18.0ms	(sin (- lambda1 lambda2))
13.0ms	(cos (- lambda1 lambda2))

Calls

30 calls:

Slowest

258.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
149.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
112.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
91.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
67.0ms	(* (cos phi2) (* (cos lambda1) (sin (- lambda2))))

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

Algorithm

intervals

Results