Details

sample15.2s

Algorithm

intervals

Results

14.5s	1923×	body	10240	exit
418.0ms	174×	body	1280	valid
170.0ms	70×	body	640	valid
10.0ms	11×	body	320	valid
1.0ms	1×	body	160	valid

simplify29.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

29.0ms

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

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

6.3b	(sin (- lambda1 lambda2))
6.2b	(cos (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite71.0ms

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`

Counts

4 → 98

Calls

4 calls:

Slowest

48.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
11.0ms	(sin (- lambda1 lambda2))
9.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series303.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
79.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
42.0ms	(sin (- lambda1 lambda2))
28.0ms	(cos (- lambda1 lambda2))

simplify8.5s

Counts

156 → 110

Calls

156 calls:

Slowest

648.0ms	(* (* (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1)) (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))) (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1)))
424.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
307.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
246.0ms	(* (* (* (cos phi2) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2)))) (* (cos phi2) (sin (- lambda1 lambda2))))
200.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.4m	59698×	body	10240	exit
15.8s	5388×	body	1280	valid
3.6s	2089×	body	640	valid
563.0ms	440×	body	320	valid
41.0ms	66×	body	160	valid
6.0ms	17×	body	80	valid