Details

Algorithm

intervals

Results

Calls

1 calls:

Slowest

37.0ms

(+ 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:

8.1b	(cos (- lambda1 lambda2))
8.0b	(sin (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

43.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
15.0ms	(sin (- lambda1 lambda2))
10.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

Calls

4 calls:

Slowest

156.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
87.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
32.0ms	(sin (- lambda1 lambda2))
19.0ms	(cos (- lambda1 lambda2))

Calls

68 calls:

Slowest

393.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
353.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
231.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
115.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
102.0ms	(* (cos phi2) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))))

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

Algorithm

intervals

Results