Details

sample16.8s

Algorithm

intervals

Results

16.2s	2102×	body	10240	exit
436.0ms	170×	body	1280	valid
98.0ms	69×	body	640	valid
12.0ms	14×	body	320	valid
1.0ms	3×	body	160	valid

simplify19.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

19.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

7.3b	(sin (- lambda1 lambda2))
7.2b	(cos (- lambda1 lambda2))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))

rewrite79.0ms

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

39.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
19.0ms	(sin (- lambda1 lambda2))
19.0ms	(cos (- lambda1 lambda2))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))

series301.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
91.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
30.0ms	(sin (- lambda1 lambda2))
30.0ms	(cos (- lambda1 lambda2))

simplify3.8s

Counts

68 → 110

Calls

68 calls:

Slowest

367.0ms	(* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))))
347.0ms	(- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3))))
228.0ms	(- 2 (+ (* 1/2 (pow lambda1 2)) (* 1/2 (pow phi2 2))))
141.0ms	(- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
101.0ms	(* (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)))))))

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.9m

Algorithm

intervals

Results

7.6m	61046×	body	10240	exit
14.0s	5383×	body	1280	valid
4.2s	2076×	body	640	valid
540.0ms	423×	body	320	valid
67.0ms	104×	body	160	valid
9.0ms	14×	body	80	valid