Details

analyze8.2s (14.6%)

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)

sample19.7s (35.1%)

Results

14.5s	5372×	body	1024	valid
2.4s	454×	body	2048	valid
2.1s	1317×	body	512	valid
410.0ms	413×	body	256	valid
335.0ms	700×	body	128	valid
2.0ms	1×	body	1024	invalid
2.0ms	1×	body	512	invalid

Compiler

Compiled 142 to 94 computations (33.8% saved)

preprocess58.0ms (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)

simplify34.0ms (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)))))))

prune8.0ms (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

24.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	24.5b	(.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)))))))
	24.5b	(.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

▶

24.5b

(*.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)))))))

24.5b

(*.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)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(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)))
✓	0.8b	(-.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)))
✓	3.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.7b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series267.0ms (0.5%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
19.0ms	phi2	@	0	(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)))
17.0ms	phi1	@	0	(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)))
17.0ms	lambda1	@	0	(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)))
16.0ms	lambda2	@	0	(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)))
14.0ms	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)))

rewrite41.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`add-sqr-sqrt_binary64`
243×	`pow1_binary64`
242×	`*-un-lft-identity_binary64`
232×	`add-log-exp_binary64`
232×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
1	485	91

Stop Event

1×	node limit

Counts

4 → 67

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)))
(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)))

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 pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 1)))) (#(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 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 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 log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(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 -.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))) 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 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 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 log1p.f64 (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 +.f64 1 (neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.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)))) 2) (cbrt.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.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)))) (sqrt.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 2)) (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.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)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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)))))))))
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simplify129.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

554×	`*-commutative_binary64`
455×	`fma-def_binary64`
269×	`fma-neg_binary64`
241×	`+-commutative_binary64`
184×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	8710
1	1679	8376
2	4418	8373

Stop Event

1×	node limit

Counts

199 → 174

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 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))) (.f64 1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 2))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 2))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (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 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda2))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1))))
(-.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 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 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 lambda2 lambda1)))
(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 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (sin.f64 (.f64 1/2 phi1))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (cos.f64 (.f64 -1/2 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 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (pow.f64 phi1 2)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))))
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(-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 3) (.f64 (pow.f64 (cos.f64 phi2) 3) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 3) (pow.f64 (cos.f64 phi1) 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 5))))) (+.f64 (.f64 1/8 (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 3) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 (cos.f64 phi1) 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))))))))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (cos.f64 phi1) 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))))) (+.f64 (.f64 1/12 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (.f64 1/16 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 3) (pow.f64 (cos.f64 phi1) 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)))))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.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 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.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 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.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 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.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 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 lambda1 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))))))))
(-.f64 (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (.f64 1/12 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 1/16 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 3) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 lambda1 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)))))))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (.f64 1/8 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 lambda1 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 3) (.f64 (pow.f64 (cos.f64 phi2) 3) (.f64 (pow.f64 (cos.f64 phi1) 3) (pow.f64 lambda1 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 5))))) (.f64 1/16 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 3) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (pow.f64 lambda1 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3))))))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 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 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))) (.f64 1/8 (.f64 (sin.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 2))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (-.f64 (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1))) (.f64 (.f64 1/8 (sin.f64 (.f64 -1/2 lambda1))) (.f64 lambda2 lambda2))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (*.f64 lambda2 lambda2)) -1/8)))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 2))) (.f64 1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (-.f64 (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1))) (fma.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3))))))
(-.f64 (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda1))) (fma.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 1/48 (.f64 (cos.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 3)))))
(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 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda2))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)))
(+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2)))))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1))))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (fma.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 lambda1 lambda1)) (.f64 1/2 (.f64 lambda1 (cos.f64 (*.f64 1/2 lambda2))))))
(-.f64 (sin.f64 (.f64 1/2 lambda2)) (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(-.f64 (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))) (.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))) (fma.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 lambda1 lambda1)) (.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2)))))))
(-.f64 (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 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 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 phi1))
(-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(-.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (sin.f64 (.f64 1/2 phi1)) (fma.f64 (.f64 1/2 (cos.f64 (.f64 1/2 phi1))) phi2 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 phi2)))))
(-.f64 (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (sin.f64 (.f64 1/2 phi1))) (+.f64 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2))))
(-.f64 (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (sin.f64 (.f64 1/2 phi1))) (fma.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(-.f64 (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (sin.f64 (.f64 1/2 phi1))) (fma.f64 (.f64 1/2 (cos.f64 (.f64 1/2 phi1))) phi2 (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2)))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (.f64 1/2 phi1) (cos.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 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (.f64 1/2 phi1) (cos.f64 (.f64 -1/2 phi2)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1))))
(+.f64 (sin.f64 (.f64 -1/2 phi2)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (*.f64 phi1 phi1)) -1/8)))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (cos.f64 (.f64 -1/2 phi2))))))
(-.f64 (+.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (.f64 1/2 phi1) (cos.f64 (.f64 -1/2 phi2)))) (fma.f64 1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (.f64 (.f64 1/48 (pow.f64 phi1 3)) (cos.f64 (.f64 -1/2 phi2)))))
(-.f64 (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)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (*.f64 1/48 (pow.f64 phi1 3)))))
(-.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 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)))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 phi1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (pow.f64 phi1 2)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))))
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(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (.f64 phi1 phi1) (cos.f64 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 phi1 phi1) 1/4))) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (pow.f64 phi1 2) (cos.f64 phi2))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (sin.f64 (.f64 -1/2 phi2))) (+.f64 1 (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (.f64 phi1 phi1) (cos.f64 phi2))))))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))))))))
(+.f64 (fma.f64 1/6 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) 1) (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (.f64 phi1 phi1) (cos.f64 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 phi1 phi1) 1/4))) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (pow.f64 (cos.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 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.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 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))) (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (pow.f64 phi2 2)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 1/4 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 phi2 2))))))
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(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

prune1.6s (2.9%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	257	43	300
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	259	43	302

Error

22.8b

Counts

302 → 43

Alt Table

Status	Error	Program
	25.0b	(.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 (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)))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (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)))))))
	36.9b	(.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 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)))))))
	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 -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)))))))
▶	24.5b	(.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)) 2)) (+.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))))))))
	33.5b	(.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 phi2)) 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 (-.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)))))))
	24.5b	(.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)))))))))
	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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
	26.2b	(.f64 R (.f64 2 (atan2.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)) 1/2) (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)))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	41.6b	(.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 (+.f64 1 (+.f64 (.f64 1/4 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) lambda1)))))) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) (+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 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 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	24.6b	(.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 (pow.f64 (cbrt.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)))) 2) (cbrt.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)))))))))
	36.9b	(.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 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)))))))
	27.8b	(.f64 R (.f64 2 (atan2.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.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))))) 1) (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)))))))
	34.9b	(.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 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)))))))
	27.8b	(.f64 R (.f64 2 (atan2.f64 (log.f64 (+.f64 1 (expm1.f64 (sqrt.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)))))) (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)))))))
	24.5b	(.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)) (expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (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)))))))
	38.7b	(.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 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (.f64 phi1 phi1) (cos.f64 phi2))) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (.f64 phi1 phi1) 1/4))) (+.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (.f64 phi1 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))))) (fma.f64 1/4 (.f64 (.f64 phi1 phi1) (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) 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)))))))
	24.5b	(.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 (expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	40.9b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (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 1/2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1)))))) (.f64 1/8 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)))))) (.f64 -1/8 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 phi2) 2) (.f64 (pow.f64 (cos.f64 phi1) 2) (.f64 (.f64 lambda2 lambda2) (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3)))) (.f64 (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	37.6b	(.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 (-.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2)))))))
	26.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (sqrt.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) (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)))))))
	24.5b	(.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 (log1p.f64 (expm1.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)))))))
	24.5b	(.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)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.3b	(.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 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)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	34.8b	(.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 (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	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)) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))
	32.1b	(.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 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	24.5b	(.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 (+.f64 1 (expm1.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))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	24.5b	(.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 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	24.8b	(.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)) (cbrt.f64 (pow.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)))))))
	32.5b	(.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 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.6b	(.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)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.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)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (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)))))))
	36.4b	(.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 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1)))) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.8b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 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)))))))
	25.0b	(.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)))))))

Compiler

Compiled 32689 to 20802 computations (36.4% saved)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
✓	3.7b	(cos.f64 (-.f64 lambda2 lambda1))
	3.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series19.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	lambda2	@	0	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
2.0ms	lambda1	@	0	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
2.0ms	lambda2	@	-inf	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
2.0ms	lambda2	@	0	(cos.f64 (-.f64 lambda2 lambda1))
2.0ms	lambda1	@	inf	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))

rewrite89.0ms (0.2%)

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 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Outputs

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

((#(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 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (/.f64 1 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) 1/4) (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 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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 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))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)))))))

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
303×	`distribute-rgt-neg-in_binary64`
298×	`distribute-lft-neg-in_binary64`
294×	`fma-def_binary64`
249×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	357
1	210	345
2	693	308
3	2662	293

Stop Event

1×	node limit

Counts

106 → 121

Calls

Call 1

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

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

prune5.8s (10.4%)

Pruning

55 alts after pruning (55 fresh and 0 done)

	Pruned	Kept	Total
New	374	22	396
Fresh	9	33	42
Picked	1	0	1
Done	0	0	0
Total	384	55	439

Error

22.7b

Counts

439 → 55

Alt Table

Status	Error	Program
	24.8b	(.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 1 (pow.f64 (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)) 2)) (+.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))))))))
	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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) -1/2 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	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 (-.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 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	25.0b	(.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 (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)))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (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)))))))
	36.9b	(.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 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)))))))
	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 -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)))))))
	24.6b	(.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 (-.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)) 2)) (+.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))))))))
	34.1b	(.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 (-.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)) 2)) (+.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))))))))
	33.5b	(.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 phi2)) 2)))))))
	24.4b	(.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 (-.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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))))))))
	46.8b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.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)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	24.5b	(.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)))))))))
	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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
	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 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)) 2)) (+.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))))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 lambda1 (.f64 (cos.f64 phi2) (cos.f64 phi1)))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
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	24.5b	(.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 (log1p.f64 (expm1.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)))))))
	26.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (sqrt.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) (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)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	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)) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))
	36.4b	(.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 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1)))) (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.5b	(.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.5b	(.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 (+.f64 1 (expm1.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))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	24.5b	(.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 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	24.8b	(.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)) (cbrt.f64 (pow.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)))))))
	32.5b	(.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 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) -1/2 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	24.6b	(.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)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.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)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (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)))))))
	24.8b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 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)))))))
	32.2b	(.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 (-.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) -1/2 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	37.4b	(.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 (-.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	25.0b	(.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)))))))
	24.5b	(.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)) 2)) (+.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))))))))

Compiler

Compiled 46711 to 27970 computations (40.1% saved)

localize99.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
	3.7b	(cos.f64 (-.f64 lambda2 lambda1))
	3.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series45.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	lambda2	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
9.0ms	lambda2	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
9.0ms	lambda1	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
9.0ms	lambda1	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
5.0ms	lambda2	@	0	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`prod-diff_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
137×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	259	12
2	3361	12

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(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 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))) (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 3)) (+.f64 1/4 (-.f64 (*.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 /.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 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))))

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-l_binary64`
413×	`sub-neg_binary64`
409×	`fma-neg_binary64`
351×	`associate-r_binary64`
320×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	584
1	176	542
2	544	484
3	1716	482
4	4513	482

Stop Event

1×	node limit

Counts

54 → 49

Calls

Call 1

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

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

prune4.2s (7.6%)

Pruning

54 alts after pruning (54 fresh and 0 done)

	Pruned	Kept	Total
New	252	12	264
Fresh	12	42	54
Picked	1	0	1
Done	0	0	0
Total	265	54	319

Error

22.5b

Counts

319 → 54

Alt Table

Status	Error	Program
	24.8b	(.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 1 (pow.f64 (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)) 2)) (+.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))))))))
	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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) -1/2 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	34.0b	(.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 -1/2 lambda1)))) (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 (fma.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)) (+.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))))))))
	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 (-.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 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	25.0b	(.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 (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)))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (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)))))))
	36.9b	(.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 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)))))))
	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 -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)))))))
	35.4b	(.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)) (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda1))))) (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 (fma.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)) (+.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))))))))
	33.5b	(.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 phi2)) 2)))))))
	46.8b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.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)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	24.5b	(.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)))))))))
	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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
	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 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)) 2)) (+.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))))))))
	31.7b	(.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 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 phi1)) 2)) 2)) (+.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))))))))
	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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.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))))))))
	34.7b	(.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 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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
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	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)) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))
	24.5b	(.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.5b	(.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 (fma.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)) (+.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))))))))
	24.5b	(.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 (+.f64 1 (expm1.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))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	24.8b	(.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)) (-.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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.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))))))))
▶	24.2b	(.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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.8b	(.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)) (cbrt.f64 (pow.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)))))))
	32.5b	(.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 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.6b	(.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)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.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)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (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)))))))
	37.4b	(.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 (-.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	31.8b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.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 phi1)) 2))))))))
	25.0b	(.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)))))))
	24.5b	(.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)) 2)) (+.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))))))))
	24.3b	(.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 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2)) 2)) (+.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))))))))
	24.8b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 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)))))))

Compiler

Compiled 35642 to 21086 computations (40.8% saved)

localize102.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
	1.7b	(-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
	3.7b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.7b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series52.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	lambda1	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
8.0ms	lambda2	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
8.0ms	lambda1	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
8.0ms	lambda2	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
3.0ms	lambda2	@	0	(-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`prod-diff_binary64`
241×	`log1p-udef_binary64`
137×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	259	12
2	3367	12

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(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 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))) (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 3)) (+.f64 1/4 (-.f64 (*.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 /.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 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))))

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-l_binary64`
413×	`sub-neg_binary64`
409×	`fma-neg_binary64`
353×	`associate-r_binary64`
320×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	584
1	176	542
2	544	484
3	1713	482
4	4521	482

Stop Event

1×	node limit

Counts

54 → 49

Calls

Call 1

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

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

prune4.2s (7.4%)

Pruning

55 alts after pruning (55 fresh and 0 done)

	Pruned	Kept	Total
New	242	10	252
Fresh	8	45	53
Picked	1	0	1
Done	0	0	0
Total	251	55	306

Error

22.4b

Counts

306 → 55

Alt Table

Status	Error	Program
	24.8b	(.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 1 (pow.f64 (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)) 2)) (+.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))))))))
	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 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) -1/2 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	32.8b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2) (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)))))))
	34.0b	(.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 -1/2 lambda1)))) (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 (fma.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)) (+.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))))))))
	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 (-.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 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	25.0b	(.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 (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)))))))
	36.9b	(.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 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)))))))
	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 -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)))))))
	24.2b	(.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)) (log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (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 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	32.0b	(.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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) -1/2 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	33.5b	(.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 phi2)) 2)))))))
	46.8b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.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)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.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))))))))
	24.5b	(.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)))))))))
	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 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
	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 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)) 2)) (+.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))))))))
	24.5b	(.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 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
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	26.2b	(.f64 R (.f64 2 (atan2.f64 (pow.f64 (sqrt.f64 (sqrt.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) (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)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (fma.f64 1/2 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (.f64 -1/2 lambda1)) (cos.f64 phi1))))) (sqrt.f64 (/.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	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)) (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 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))))))
	24.5b	(.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	24.5b	(.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 (fma.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)) (+.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))))))))
	24.5b	(.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 (+.f64 1 (expm1.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))))))))))
	33.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (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)))))))
	24.8b	(.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)) (-.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 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.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))))))))
	24.8b	(.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)) (cbrt.f64 (pow.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)))))))
	32.5b	(.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 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (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)))))))
	24.3b	(.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)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (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 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	36.7b	(.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 lambda2)))) (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 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	31.7b	(.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 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (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 (-.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 (fma.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)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) -1/2 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	37.4b	(.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 (-.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)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) 1/2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	25.0b	(.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)))))))
	24.5b	(.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)) 2)) (+.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))))))))
	24.3b	(.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 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))) 2)) 2)) (+.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))))))))

Compiler

Compiled 30981 to 17407 computations (43.8% saved)

regimes8.5s (15.2%)

Accuracy

Total 1.7b remaining (7.2%)

Threshold costs 0b (0%)

Counts

277 → 1

Compiler

Compiled 289756 to 196192 computations (32.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
13×	`+-commutative_binary64`
12×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	153
1	79	153
2	105	153
3	119	153
4	128	153
5	130	153

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

end2.4s (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 5178 to 3478 computations (32.8% saved)

Details

analyze8.2s (14.6%)

sample19.7s (35.1%)

preprocess58.0ms (0.1%)

simplify34.0ms (0.1%)

prune8.0ms (0%)

localize24.0ms (0%)

series267.0ms (0.5%)

rewrite41.0ms (0.1%)

simplify129.0ms (0.2%)

prune1.6s (2.9%)

localize68.0ms (0.1%)

series19.0ms (0%)

rewrite89.0ms (0.2%)

simplify69.0ms (0.1%)

prune5.8s (10.4%)

localize99.0ms (0.2%)

series45.0ms (0.1%)

rewrite80.0ms (0.1%)

simplify65.0ms (0.1%)

prune4.2s (7.6%)

localize102.0ms (0.2%)

series52.0ms (0.1%)

rewrite80.0ms (0.1%)

simplify63.0ms (0.1%)

prune4.2s (7.4%)

regimes8.5s (15.2%)

simplify5.0ms (0%)

end2.4s (4.3%)

Profiling