Details

sample14.2s

Algorithm

intervals

Results

13.5s	1888×	body	10240	exit
421.0ms	182×	body	1280	valid
77.0ms	58×	body	640	valid
12.0ms	11×	body	320	valid
3.0ms	4×	body	160	valid
0.0ms	1×	body	80	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	23
2	23
1	20
0	14

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi2) (sin (- lambda1 lambda2)))
0.5b	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
5.8b	(sin (- lambda1 lambda2))
6.3b	(cos (- lambda1 lambda2))

rewrite72.0ms

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:

41.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
0.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
14.0ms	(sin (- lambda1 lambda2))
14.0ms	(cos (- lambda1 lambda2))

series293.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (cos phi2) (sin (- lambda1 lambda2)))
154.0ms	(fma (cos phi2) (cos (- lambda1 lambda2)) (cos phi1))
32.0ms	(sin (- lambda1 lambda2))
27.0ms	(cos (- lambda1 lambda2))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
4	2634
3	1579
2	887
1	486
0	227

prune1.5s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	13

end0.0ms

sample6.3m

Algorithm

intervals

Results

6.0m	58742×	body	10240	exit
13.0s	5330×	body	1280	valid
3.5s	2110×	body	640	valid
482.0ms	431×	body	320	valid
50.0ms	98×	body	160	valid
8.0ms	31×	body	80	valid