Details

sample14.8s

Algorithm

intervals

Results

14.2s	1895×	body	10240	exit
373.0ms	169×	body	1280	valid
91.0ms	67×	body	640	valid
16.0ms	17×	body	320	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	80	valid

simplify38.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

38.0ms

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

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

7.5b	(sin (- lambda1 lambda2))
7.2b	(cos (- lambda1 lambda2))
0.6b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite73.0ms

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

34.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
19.0ms	(sin (- lambda1 lambda2))
18.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
78.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
32.0ms	(sin (- lambda1 lambda2))
19.0ms	(cos (- lambda1 lambda2))

simplify4.0s

Counts

68 → 110

Calls

68 calls:

Slowest

396.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
337.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
196.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
117.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
116.0ms	(* (cos phi2) (* (cos (fma (sqrt lambda1) (sqrt 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

sample7.5m

Algorithm

intervals

Results

7.1m	59022×	body	10240	exit
14.0s	5388×	body	1280	valid
6.1s	2073×	body	640	valid
609.0ms	426×	body	320	valid
87.0ms	93×	body	160	valid
6.0ms	20×	body	80	valid