Details

analyze9.3s (22%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample19.2s (45.7%)

Results

14.3s	5412×	body	1024	valid
2.3s	1322×	body	512	valid
1.7s	427×	body	2048	valid
469.0ms	386×	body	256	valid
397.0ms	709×	body	128	valid
7.0ms	3×	body	1024	invalid
2.0ms	1×	body	512	invalid

preprocess60.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary64`
351×	`distribute-rgt-neg-in_binary64`
312×	`fma-neg_binary64`
281×	`neg-mul-1_binary64`
263×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1101
1	391	1057
2	968	1057
3	2393	1057
4	4809	1057
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))))))))
(.f64 2 (.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) lambda1))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 2 lambda2))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 2 (.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) phi1))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (.f64 2 phi1))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (.f64 2 phi1))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 2 (.f64 phi2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 2 (.f64 phi2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 (.f64 R 2) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 lambda2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 lambda2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (.f64 R 2) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
562×	`fma-neg_binary64`
317×	`cancel-sign-sub-inv_binary64`
288×	`distribute-rgt-neg-in_binary64`
278×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	99
2	127	99
3	292	99
4	710	99
5	1626	99
6	3178	99
7	4850	99

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

prune9.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

23.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Status

Error

Program

▶

23.5b

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

23.5b

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Compiler

Compiled 409 to 266 computations (35% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
✓	0.7b	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
✓	3.2b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.2b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series38.0ms (0.1%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	-inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	phi2	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	lambda2	@	0	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
3.0ms	lambda2	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	phi1	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

rewrite41.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`add-sqr-sqrt_binary64`
235×	`pow1_binary64`
234×	`*-un-lft-identity_binary64`
225×	`add-log-exp_binary64`
225×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	67
1	466	67

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) 1))))))

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

614×	`cancel-sign-sub-inv_binary64`
363×	`fma-neg_binary64`
333×	`fma-def_binary64`
288×	`distribute-rgt-neg-in_binary64`
272×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	3999
1	923	3667
2	3201	3659

Stop Event

1×	node limit

Counts

183 → 162

Calls

Call 1

Inputs
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
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(pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2)
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(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2)
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(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)

Outputs
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1))))
(fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (.f64 lambda1 lambda1) (sin.f64 (.f64 1/2 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 3) 1/48))) (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (neg.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (.f64 -1 (+.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) 1) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (fma.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))) (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 -1 (.f64 (pow.f64 phi2 3) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6)) (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))) (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (pow.f64 phi2 3) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) 1/6)))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) -1/6) (pow.f64 phi2 3) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) 1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) 1) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))) 1)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 -1 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda2)) (cos.f64 phi1))) 1)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)))) (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (fma.f64 -1 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda2)) (cos.f64 phi1))) 1) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) -1/6) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 3)) (cos.f64 phi1)))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (cos.f64 phi1))))
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(-.f64 (+.f64 1 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (cos.f64 phi1)))))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2)
(+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2))
(fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 lambda2 2)) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 lambda2 lambda2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2))) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 lambda2 2)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (pow.f64 lambda2 3)) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2))))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 lambda2 lambda2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) -1/6) (pow.f64 lambda2 3) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2))) (fma.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 -1/2 lambda1)) -1/6)) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) lambda1))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))))))
(fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))) lambda1)))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (.f64 lambda1 lambda1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))))))
(fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))))) (pow.f64 lambda1 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) lambda1))))
(fma.f64 (fma.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (fma.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 1/48 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))))) (pow.f64 lambda1 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (.f64 lambda1 lambda1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))))))))
(fma.f64 (pow.f64 lambda1 3) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) 1/24) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) 1/8)) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)

prune2.7s (6.3%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	304	38	342
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	306	38	344

Error

21.9b

Counts

344 → 38

Alt Table

Status	Error	Program
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	31.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3))))))
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	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))))

Compiler

Compiled 30359 to 19162 computations (36.9% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
✓	3.2b	(cos.f64 (-.f64 lambda2 lambda1))
	3.2b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.2b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series6.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	lambda2	@	0	(cos.f64 (-.f64 lambda2 lambda1))
1.0ms	lambda2	@	0	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
1.0ms	lambda2	@	-inf	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
1.0ms	lambda1	@	-inf	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
1.0ms	lambda1	@	0	(cos.f64 (-.f64 lambda2 lambda1))

rewrite49.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`prod-diff_binary64`
263×	`fma-def_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
125×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	192	18
2	2699	16

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(cos.f64 (-.f64 lambda2 lambda1))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 1) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (neg.f64 (.f64 (neg.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 lambda1))) (sin.f64 lambda2) (.f64 (neg.f64 (sin.f64 lambda1)) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (cos.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))) (.f64 (sin.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (sin.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (.f64 (sin.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (neg.f64 (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (neg.f64 (sin.f64 lambda1)) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda2) (cos.f64 (.f64 (neg.f64 lambda1) 1))) (.f64 (sin.f64 lambda2) (sin.f64 (.f64 (neg.f64 lambda1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 (neg.f64 lambda1) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (+.f64 (neg.f64 lambda1) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (exp.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (neg.f64 (.f64 (sin.f64 lambda2) (neg.f64 (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 1 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2) (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 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Outputs

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(-.f64 lambda2 lambda1)) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (neg.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (neg.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (neg.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2)) (cbrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 2)) (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 1))))))

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg_binary64`
509×	`fma-def_binary64`
290×	`distribute-rgt-neg-out_binary64`
240×	`distribute-lft-neg-out_binary64`
232×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	538
1	248	498
2	707	431
3	2660	422

Stop Event

1×	node limit

Counts

122 → 127

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1)))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))

Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 (neg.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(-.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (fma.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)))))
(+.f64 (cos.f64 lambda1) (fma.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1))))))
(fma.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 lambda2 lambda2)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(fma.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 lambda2 -1/2)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (fma.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2))))))
(+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))
(fma.f64 (neg.f64 (sin.f64 lambda1)) (fma.f64 1/6 (pow.f64 lambda2 3) (neg.f64 lambda2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) (fma.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 lambda2 -1/2)) (.f64 (sin.f64 lambda1) (-.f64 lambda2 (.f64 1/6 (pow.f64 lambda2 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))))
(fma.f64 lambda1 (sin.f64 lambda2) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (fma.f64 (.f64 (sin.f64 lambda2) -1/6) (pow.f64 lambda1 3) (cos.f64 lambda2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(fma.f64 (cos.f64 lambda1) -1/2 1/2)
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1))) (*.f64 (cos.f64 lambda1) 1/2)))
(+.f64 1/2 (.f64 1/2 (-.f64 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 (cos.f64 lambda1) -1/2 (fma.f64 lambda2 (*.f64 -1/2 (sin.f64 lambda1)) 1/2))
(fma.f64 1/2 (neg.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))) 1/2)
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1)))) (*.f64 (cos.f64 lambda1) 1/2)))
(+.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/4 (.f64 lambda2 lambda2))) (.f64 1/2 (-.f64 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (cos.f64 lambda1)))))
(+.f64 (fma.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)) 1/2) (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/4 (.f64 lambda2 lambda2)) 1/2)))
(+.f64 (fma.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)) 1/2) (.f64 (cos.f64 lambda1) (fma.f64 lambda2 (*.f64 lambda2 1/4) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (fma.f64 -1/12 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1))))) (.f64 (cos.f64 lambda1) 1/2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) 1/4 (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 lambda2 1/2) (.f64 (pow.f64 lambda2 3) -1/12)))) (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)))
(+.f64 1/2 (fma.f64 (neg.f64 (sin.f64 lambda1)) (fma.f64 (pow.f64 lambda2 3) -1/12 (.f64 lambda2 1/2)) (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/4 (.f64 lambda2 lambda2)) 1/2))))
(+.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (fma.f64 lambda2 (.f64 lambda2 1/4) -1/2)) (.f64 (sin.f64 lambda1) (fma.f64 (pow.f64 lambda2 3) -1/12 (.f64 lambda2 1/2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(fma.f64 -1/2 (cos.f64 lambda2) 1/2)
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (-.f64 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1) (*.f64 (cos.f64 lambda2) 1/2)))
(+.f64 1/2 (fma.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1 (.f64 -1/2 (cos.f64 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1)))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (+.f64 1/2 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1))) (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) 1/4 1/2) (fma.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1 (.f64 -1/2 (cos.f64 lambda2))))
(+.f64 (.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))) (fma.f64 (cos.f64 lambda2) (.f64 lambda1 (*.f64 lambda1 1/4)) 1/2))
(+.f64 (fma.f64 (sin.f64 lambda2) (.f64 lambda1 -1/2) 1/2) (.f64 (cos.f64 lambda2) (fma.f64 lambda1 (*.f64 lambda1 1/4) -1/2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (fma.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 1/2 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1)))) (.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) 1/4 (fma.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) 1/12 (fma.f64 -1/2 (.f64 lambda1 (sin.f64 lambda2)) 1/2))) (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (+.f64 (.f64 (pow.f64 lambda1 3) 1/12) (.f64 lambda1 -1/2))) (.f64 (cos.f64 lambda2) (-.f64 (.f64 lambda1 (.f64 lambda1 1/4)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (+.f64 (.f64 (pow.f64 lambda1 3) 1/12) (.f64 lambda1 -1/2))) (.f64 (cos.f64 lambda2) (fma.f64 lambda1 (*.f64 lambda1 1/4) -1/2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)

prune2.3s (5.4%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	259	10	269
Fresh	4	33	37
Picked	1	0	1
Done	0	0	0
Total	264	43	307

Error

21.7b

Counts

307 → 43

Alt Table

Status	Error	Program
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	38.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (.f64 (sin.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	45.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (cos.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))) (.f64 (sin.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1))))) (sin.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda2 lambda2 (.f64 lambda1 (+.f64 lambda2 lambda1)))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (neg.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	40.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	30.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2)))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	37.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (cos.f64 phi1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	31.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
▶	23.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))))

Compiler

Compiled 24880 to 15381 computations (38.2% saved)

localize60.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
✓	2.6b	(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
	3.2b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.2b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series81.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	lambda1	@	inf	(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
8.0ms	phi2	@	inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
8.0ms	lambda2	@	inf	(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
6.0ms	phi1	@	inf	(log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))
6.0ms	lambda2	@	-inf	(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

rewrite48.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
383×	`add-log-exp_binary64`
383×	`log1p-expm1-u_binary64`
383×	`expm1-log1p-u_binary64`
381×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	181
1	824	181

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs

(-.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))

(log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (cbrt.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (cbrt.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 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(+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (*.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 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lambda1)))))))) (+.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) 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(*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 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(cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 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simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

500×	`cancel-sign-sub-inv_binary64`
404×	`fma-neg_binary64`
265×	`fma-def_binary64`
234×	`associate-r_binary64`
230×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	7604
1	928	7330
2	3311	7313

Stop Event

1×	node limit

Counts

97 → 80

Calls

Call 1

Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))))))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))))) (.f64 -1/2 (.f64 (pow.f64 lambda2 3) (-.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (cos.f64 lambda1) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (cos.f64 lambda1))) (.f64 -1/6 (.f64 (sin.f64 lambda1) (cos.f64 lambda1)))) (cos.f64 lambda1))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 lambda1) 2)) (pow.f64 (sin.f64 lambda1) 2)) (sin.f64 lambda1)) (pow.f64 (cos.f64 lambda1) 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))) (sin.f64 lambda1)) (cos.f64 lambda1))))))))))) (.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2))))) (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1)))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2))))) (pow.f64 lambda1 2))) (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (cos.f64 lambda2) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 -1/6 (cos.f64 lambda2))) (sin.f64 lambda2)) (cos.f64 lambda2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 lambda2)) (+.f64 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda2) 2) (cos.f64 lambda2))))) (sin.f64 lambda2)) (cos.f64 lambda2))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 lambda2) 2) (.f64 -1 (pow.f64 (cos.f64 lambda2) 2))) (sin.f64 lambda2)) (pow.f64 (cos.f64 lambda2) 2))))) (pow.f64 lambda1 3))) (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
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(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (-.f64 (.f64 (.f64 -1/2 lambda2) (sin.f64 lambda1)) (*.f64 1/2 (cos.f64 lambda1))))
(+.f64 1/2 (fma.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))))))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (-.f64 (.f64 -1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 (.f64 lambda2 lambda2) (-.f64 (.f64 (cos.f64 lambda1) -1/2) (.f64 0 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))))))) (*.f64 1/2 (cos.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) -1/2) (fma.f64 -1/2 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (*.f64 lambda2 lambda2) (fma.f64 (cos.f64 lambda1) -1/2 0))) 1/2))
(+.f64 (.f64 (cos.f64 lambda1) -1/2) (fma.f64 -1/2 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) -1/2))) 1/2))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))))) (.f64 -1/2 (.f64 (pow.f64 lambda2 3) (-.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (cos.f64 lambda1) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 lambda1) (cos.f64 lambda1))) (.f64 -1/6 (.f64 (sin.f64 lambda1) (cos.f64 lambda1)))) (cos.f64 lambda1))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 lambda1) 2)) (pow.f64 (sin.f64 lambda1) 2)) (sin.f64 lambda1)) (pow.f64 (cos.f64 lambda1) 2)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 lambda1)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))) (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))) (sin.f64 lambda1)) (cos.f64 lambda1))))))))))) (.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/2 (+.f64 (.f64 (.f64 lambda2 lambda2) (-.f64 (.f64 (cos.f64 lambda1) -1/2) (.f64 0 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1))))) (.f64 (pow.f64 lambda2 3) (-.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (cos.f64 lambda1) 2)) (fma.f64 -1 (/.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda1)) -2/3) (cos.f64 lambda1)) (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (sin.f64 lambda1) 2)) (/.f64 (pow.f64 (cos.f64 lambda1) 2) (sin.f64 lambda1))) (neg.f64 (/.f64 (-.f64 (.f64 (cos.f64 lambda1) -1/2) (.f64 0 (/.f64 (pow.f64 (sin.f64 lambda1) 2) (cos.f64 lambda1)))) (/.f64 (cos.f64 lambda1) (sin.f64 lambda1))))))))))) (.f64 1/2 (cos.f64 lambda1))))
(+.f64 (.f64 (cos.f64 lambda1) -1/2) (+.f64 1/2 (.f64 -1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (fma.f64 (.f64 lambda2 lambda2) (fma.f64 (cos.f64 lambda1) -1/2 0) (.f64 (pow.f64 lambda2 3) (-.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (cos.f64 lambda1) 2)) (-.f64 (-.f64 (/.f64 (sin.f64 lambda1) (/.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda1) 2)))) (/.f64 (.f64 (sin.f64 lambda1) (fma.f64 (cos.f64 lambda1) -1/2 0)) (cos.f64 lambda1))) (/.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda1)) (/.f64 (cos.f64 lambda1) -2/3))))))))))
(+.f64 1/2 (fma.f64 -1/2 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (fma.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) -1/2) (.f64 (pow.f64 lambda2 3) (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (cos.f64 lambda1) 2)) (-.f64 (/.f64 (sin.f64 lambda1) (/.f64 (pow.f64 (cos.f64 lambda1) 2) (-.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda1) 2)))) (/.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (sin.f64 lambda1))) (cos.f64 lambda1)))) (/.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda1)) (/.f64 (cos.f64 lambda1) -2/3)))))) (.f64 (cos.f64 lambda1) -1/2)))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))
(-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))))
(-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2))))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (-.f64 (.f64 -1/2 (.f64 lambda1 (sin.f64 lambda2))) (*.f64 1/2 (cos.f64 lambda2))))
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(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3)) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2)) (.f64 (pow.f64 (sin.f64 lambda2) 2) (pow.f64 (sin.f64 lambda1) 2))) (.f64 (sin.f64 lambda2) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (-.f64 1/2 (/.f64 (.f64 1/2 (fma.f64 (pow.f64 (sin.f64 lambda2) 3) (pow.f64 (sin.f64 lambda1) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3)))) (-.f64 (fma.f64 (pow.f64 (cos.f64 lambda2) 2) (pow.f64 (cos.f64 lambda1) 2) (.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

prune2.3s (5.5%)

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	212	10	222
Fresh	7	35	42
Picked	1	0	1
Done	0	0	0
Total	220	45	265

Error

21.5b

Counts

265 → 45

Alt Table

Status	Error	Program
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	38.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (.f64 (sin.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 2) (neg.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))) 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	31.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) 3))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	40.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	36.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
▶	23.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))))
	41.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2)))))))
	34.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	30.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	44.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	37.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (.f64 lambda1 lambda1) (sin.f64 (.f64 1/2 lambda2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (cbrt.f64 (-.f64 1/2 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))) (cbrt.f64 (-.f64 1/2 (/.f64 (.f64 1/2 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2) (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	32.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	34.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (cos.f64 phi2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))
	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (cos.f64 phi1)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

Compiler

Compiled 33686 to 16628 computations (50.6% saved)

localize61.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))
	3.2b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.2b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	5.5b	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	phi2	@	0	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))
0.0ms	phi1	@	0	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))
0.0ms	phi2	@	inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))
0.0ms	phi2	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))
0.0ms	phi1	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))

rewrite40.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
94×	`add-log-exp_binary64`
93×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	217	9
2	2438	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/3) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1/3))))))

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def_binary64`
526×	`associate-l_binary64`
386×	`associate-r_binary64`
338×	`fma-neg_binary64`
230×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	360
1	142	352
2	351	328
3	1071	318
4	3574	318

Stop Event

1×	node limit

Counts

47 → 40

Calls

Call 1

Inputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))

Outputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 -1/8 (*.f64 phi2 phi2) 1)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 phi2 (*.f64 phi2 -1/8) 1)))
(fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2) (.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 phi2 (*.f64 phi2 -1/8) 1)))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(fma.f64 (fma.f64 -1/8 (.f64 phi2 phi2) 1) (sin.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 phi2) (.f64 1/48 (pow.f64 phi2 3)))))
(fma.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 phi2 (.f64 phi2 -1/8) 1) (.f64 (cos.f64 (.f64 1/2 phi1)) (fma.f64 -1/2 phi2 (*.f64 1/48 (pow.f64 phi2 3)))))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 (.f64 -1/8 (.f64 phi1 phi1)) (sin.f64 (.f64 -1/2 phi2)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 phi1 (*.f64 phi1 -1/8) 1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 1/2 phi1) (.f64 -1/48 (pow.f64 phi1 3)))) (.f64 (+.f64 (.f64 phi1 (.f64 phi1 -1/8)) 1) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 (cos.f64 (.f64 -1/2 phi2)) (fma.f64 1/2 phi1 (.f64 -1/48 (pow.f64 phi1 3))) (.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 phi1 (*.f64 phi1 -1/8) 1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))

prune1.6s (3.8%)

Pruning

48 alts after pruning (48 fresh and 0 done)

	Pruned	Kept	Total
New	208	5	213
Fresh	1	43	44
Picked	1	0	1
Done	0	0	0
Total	210	48	258

Error

21.5b

Counts

258 → 48

Alt Table

Status	Error	Program
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	38.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (.f64 (sin.f64 (/.f64 (.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
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	34.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (cos.f64 phi2)))))))
	32.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))))
	23.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	39.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	38.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2)))))))
	32.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (-.f64 1/2 (.f64 1/2 (/.f64 (fma.f64 (pow.f64 (sin.f64 lambda1) 3) (pow.f64 (sin.f64 lambda2) 3) (.f64 (pow.f64 (cos.f64 lambda2) 3) (pow.f64 (cos.f64 lambda1) 3))) (fma.f64 (pow.f64 (cos.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2) (fma.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (sin.f64 lambda2) 2) (.f64 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (neg.f64 (sin.f64 lambda2)))))))) (cos.f64 phi1)))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	23.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 3)) 2)))))))))
	35.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))))

Compiler

Compiled 28878 to 13552 computations (53.1% saved)

regimes2.2s (5.1%)

Accuracy

Total -39.8b remaining (-165.9%)

Threshold costs -39.8b (-165.9%)

Counts

221 → 1

Compiler

Compiled 17147 to 9679 computations (43.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	157
1	71	157
2	96	157
3	118	157
4	134	157
5	144	157
6	149	157
7	151	157

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (+.f64 1/2 (/.f64 (*.f64 -1/2 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3))) (fma.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (-.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

end1.8s (4.2%)

Stop Event

1×

fuel

Compiler

Compiled 4148 to 2209 computations (46.7% saved)

Details

analyze9.3s (22%)

sample19.2s (45.7%)

preprocess60.0ms (0.1%)

simplify36.0ms (0.1%)

prune9.0ms (0%)

localize26.0ms (0.1%)

series38.0ms (0.1%)

rewrite41.0ms (0.1%)

simplify78.0ms (0.2%)

prune2.7s (6.3%)

localize38.0ms (0.1%)

series6.0ms (0%)

rewrite49.0ms (0.1%)

simplify33.0ms (0.1%)

prune2.3s (5.4%)

localize60.0ms (0.1%)

series81.0ms (0.2%)

rewrite48.0ms (0.1%)

simplify127.0ms (0.3%)

prune2.3s (5.5%)

localize61.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (0.1%)

simplify33.0ms (0.1%)

prune1.6s (3.8%)

regimes2.2s (5.1%)

simplify7.0ms (0%)

end1.8s (4.2%)

Profiling