Details

sample14.5s

Algorithm

intervals

Results

13.4s	1895×	body	10240	exit
773.0ms	166×	body	1280	valid
141.0ms	73×	body	640	valid
52.0ms	14×	body	320	valid
2.0ms	3×	body	160	valid

simplify50.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

50.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

7.6b	(sin (- lambda1 lambda2))
7.6b	(cos (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.1b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite66.0ms

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

32.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
21.0ms	(cos (- lambda1 lambda2))
10.0ms	(sin (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series319.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
102.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
24.0ms	(sin (- lambda1 lambda2))
19.0ms	(cos (- lambda1 lambda2))

simplify4.1s

Counts

68 → 110

Calls

68 calls:

Slowest

428.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
426.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
315.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
180.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
128.0ms	(* (cos phi2) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))))

prune2.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.7m

Algorithm

intervals

Results

7.3m	58322×	body	10240	exit
16.6s	5406×	body	1280	valid
4.9s	2074×	body	640	valid
458.0ms	417×	body	320	valid
63.0ms	91×	body	160	valid
4.0ms	12×	body	80	valid