Details

sample15.4s

Algorithm

intervals

Results

14.4s	2005×	body	10240	exit
780.0ms	177×	body	1280	valid
129.0ms	66×	body	640	valid
10.0ms	11×	body	320	valid
2.0ms	2×	body	160	valid

simplify72.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

72.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

8.6b	(cos (- lambda1 lambda2))
8.6b	(sin (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite50.0ms

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

23.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
16.0ms	(sin (- lambda1 lambda2))
9.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

162.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
101.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
24.0ms	(sin (- lambda1 lambda2))
20.0ms	(cos (- lambda1 lambda2))

simplify8.8s

Counts

156 → 110

Calls

156 calls:

Slowest

643.0ms	(* (* (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1)) (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))) (fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1)))
479.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
356.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
270.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
195.0ms	(* (* (* (cos phi2) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2)))) (* (cos phi2) (sin (- lambda1 lambda2))))

prune1.8s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.8m

Algorithm

intervals

Results

7.3m	59625×	body	10240	exit
15.4s	5386×	body	1280	valid
4.3s	2113×	body	640	valid
822.0ms	410×	body	320	valid
428.0ms	76×	body	160	valid
5.0ms	15×	body	80	valid