Details

sample14.7s

Algorithm

intervals

Results

14.1s	1832×	body	10240	exit
365.0ms	173×	body	1280	valid
91.0ms	66×	body	640	valid
13.0ms	13×	body	320	valid
2.0ms	3×	body	160	valid
0.0ms	1×	body	80	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

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

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

6.0b	(sin (- lambda1 lambda2))
5.9b	(cos (- lambda1 lambda2))
0.7b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.1b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite54.0ms

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

30.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
14.0ms	(sin (- lambda1 lambda2))
9.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
79.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
28.0ms	(sin (- lambda1 lambda2))
18.0ms	(cos (- lambda1 lambda2))

simplify3.9s

Counts

68 → 110

Calls

68 calls:

Slowest

399.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
307.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
298.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
121.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
111.0ms	(* (cos phi2) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))))

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.9m

Algorithm

intervals

Results

7.5m	59738×	body	10240	exit
13.9s	5308×	body	1280	valid
4.4s	2143×	body	640	valid
579.0ms	440×	body	320	valid
66.0ms	96×	body	160	valid
4.0ms	13×	body	80	valid