Metrics for HairBSDF, Mp, lower

analyze534.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
50%	0.7%	0.7%	97%	0%	1.5%	0%	11
50%	0.7%	0.7%	97%	0%	1.5%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample2.5s (15.5%)

Results

2.5s	8256×	body	256	valid
30.0ms	130×	body	256	invalid

Bogosity

preprocess309.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

838×	`distribute-neg-in`
784×	`associate-+l-`
766×	`times-frac`
676×	`associate-+l+`
622×	`associate-+r-`

Problems

91×	No Errors
83×	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
76×	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
5×	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
1×	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 1 v))))))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 1 v))))))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v))))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 (neg.f32 v) sinTheta_O)) (/.f32 1 (neg.f32 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 (neg.f32 v))))))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O) (-.f32 (+.f32 (/.f32 sinTheta_O (/.f32 (neg.f32 v) sinTheta_i)) (/.f32 -1 v)) 6931/10000))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))))) (/.f32 -1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_O) (+.f32 (/.f32 1 v) (*.f32 (/.f32 cosTheta_i v) sinTheta_O))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_i)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_O) (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) cosTheta_i))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) cosTheta_i (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 v (/.f32 cosTheta_i cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 cosTheta_i sinTheta_O)) (/.f32 1 cosTheta_i))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_i)))))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (*.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O) (+.f32 (/.f32 1 cosTheta_i) -6931/10000)))) (/.f32 1/2 cosTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_O cosTheta_i) v) (fma.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O (+.f32 (/.f32 1 cosTheta_i) -6931/10000)))) (/.f32 1/2 cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_i) (*.f32 (/.f32 cosTheta_O v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) sinTheta_O) (*.f32 (/.f32 sinTheta_i v) cosTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 sinTheta_O (/.f32 cosTheta_i v))) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 1 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 sinTheta_i (/.f32 cosTheta_O sinTheta_O)) (/.f32 1 cosTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_O)))))
(.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O)) (/.f32 -1 cosTheta_O)))) (/.f32 1/2 cosTheta_O))
(.f32 (exp.f32 (-.f32 (.f32 v (/.f32 cosTheta_i cosTheta_O)) (+.f32 (fma.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 1 cosTheta_O)) -6931/10000))) (/.f32 1/2 cosTheta_O))
(.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i cosTheta_O) v (+.f32 (-.f32 (/.f32 -1 cosTheta_O) (.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O))) 6931/10000))) (/.f32 1/2 cosTheta_O))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) (+.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i) (/.f32 1 sinTheta_i))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_i)))))
(.f32 (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) (+.f32 (.f32 (/.f32 v sinTheta_i) sinTheta_O) (+.f32 (/.f32 1 sinTheta_i) -6931/10000)))) (/.f32 1/2 sinTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (+.f32 (fma.f32 (/.f32 v sinTheta_i) sinTheta_O (/.f32 1 sinTheta_i)) -6931/10000))) (/.f32 1/2 sinTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 sinTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_O)))))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O) (+.f32 (/.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 sinTheta_O))))) (/.f32 1/2 sinTheta_O))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 sinTheta_O cosTheta_i)) (fma.f32 (/.f32 sinTheta_i sinTheta_O) v (/.f32 1 sinTheta_O))))) (/.f32 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 169 to 80 computations (52.7% saved)

eval1.0ms (0%)

Compiler: Compiled 71 to 45 computations (36.6% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
▶	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
▶	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize326.0ms (2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
✓	99.7%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.3%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.3%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	99.7%	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.2%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))

Compiler

Compiled 218 to 89 computations (59.2% saved)

series57.0ms (0.3%)

Counts

8 → 384

Calls

96 calls:

Time	Variable		Point	Expression
9.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
9.0ms	v	@	-inf	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
6.0ms	cosTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
2.0ms	v	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
2.0ms	sinTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`frac-times`
301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
295×	`add-exp-log`
294×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	393
1	690	353

Stop Event

1×	node limit

Counts

8 → 266

Calls

Call 1

Inputs
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
(-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i))

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) 1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 (/.f32 1 v) (/.f32 cosTheta_i (/.f32 1 cosTheta_O)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) 1) (/.f32 (cbrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) 1) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) v) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 1 cosTheta_O)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) v) (/.f32 (cbrt.f32 cosTheta_i) (/.f32 1 cosTheta_O)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) (sqrt.f32 (/.f32 v cosTheta_O))) (/.f32 (cbrt.f32 cosTheta_i) (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 (sqrt.f32 cosTheta_i) (cbrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 cosTheta_O 1) (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_i (cbrt.f32 v)))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 3)
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2)
(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 1))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) 1)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(.f32 1 (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(*.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 1 sinTheta_O)))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O v)) (/.f32 sinTheta_i (sqrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (/.f32 sinTheta_i (cbrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) v) (/.f32 (cbrt.f32 sinTheta_i) (/.f32 1 sinTheta_O)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) 1) (/.f32 (cbrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) (sqrt.f32 (/.f32 v sinTheta_O))) (/.f32 (cbrt.f32 sinTheta_i) (sqrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) v) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 1 sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) 1) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (/.f32 (sqrt.f32 sinTheta_i) (cbrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 sinTheta_O 1) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_i (cbrt.f32 v)))
(*.f32 (/.f32 sinTheta_O (sqrt.f32 v)) (/.f32 sinTheta_i (sqrt.f32 v)))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)
(pow.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) -1)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)))) 1)
(.f32 1 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)))
(.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))) (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))))
(.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 2)
(pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)) 2))
(log.f32 (exp.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 1)
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 2) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(.f32 1 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
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(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))

simplify281.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1068×	`times-frac`
910×	`associate-r`
844×	`fma-def`
760×	`associate-l`
330×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	42747
1	2430	40840

Stop Event

1×	node limit

Counts

650 → 451

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) (.f32 -1 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) (+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 sinTheta_O 3) (.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
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(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 1))) (fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 1 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2) (.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) 2))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(.f32 1 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 3)) (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v 2)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 v sinTheta_O)) (.f32 (/.f32 v cosTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (.f32 (/.f32 v cosTheta_O) 1)) (*.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O))) (.f32 (/.f32 v cosTheta_O) (neg.f32 sinTheta_i))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 v cosTheta_O) v))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) sinTheta_i)) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1)) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (.f32 1 (neg.f32 (/.f32 v sinTheta_O))) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 v (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 v sinTheta_O)) (.f32 (neg.f32 (/.f32 v cosTheta_O)) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (.f32 (neg.f32 (/.f32 v cosTheta_O)) 1)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) v) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v sinTheta_O)) (.f32 v sinTheta_i)) (.f32 v (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (.f32 v 1)) (.f32 v (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (.f32 v (neg.f32 sinTheta_i))) (.f32 v (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v 2))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 3)
(pow.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 2)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 2))
(log.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 1 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 v sinTheta_O)) (.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 (/.f32 (pow.f32 v 2) cosTheta_O) sinTheta_O))
(/.f32 (fma.f32 cosTheta_i (/.f32 v sinTheta_O) (*.f32 sinTheta_i (/.f32 (neg.f32 v) cosTheta_O))) (/.f32 (/.f32 (pow.f32 v 2) cosTheta_O) sinTheta_O))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) v) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) v))
(/.f32 (-.f32 (.f32 cosTheta_i v) (.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 v cosTheta_O))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (-.f32 (.f32 cosTheta_i v) (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 v cosTheta_O)))) (/.f32 (pow.f32 v 2) cosTheta_O))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v sinTheta_O)) (.f32 v sinTheta_i)) (.f32 v (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 v sinTheta_O))) (*.f32 v sinTheta_i)) (/.f32 (pow.f32 v 2) sinTheta_O))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (.f32 v 1)) (.f32 v (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (/.f32 v sinTheta_O)) sinTheta_i)) v) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (neg.f32 v)) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (.f32 v (neg.f32 sinTheta_i))) (.f32 v (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 v sinTheta_O))) (*.f32 v sinTheta_i)) (/.f32 (pow.f32 v 2) sinTheta_O))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 v sinTheta_O) sinTheta_i)) (pow.f32 v 2))
(/.f32 (.f32 v (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (pow.f32 v 2))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 v 2))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))) (neg.f32 (+.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2) (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 v 2) (.f32 sinTheta_O sinTheta_i)))))))
(.f32 1 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 3)) (+.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2) (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 v 2) (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(.f32 1 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) 2)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 1)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 3)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(pow.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 3) 1/3)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 2)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 2))
(fabs.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))
(log.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) 3))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(exp.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) 1))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 1 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 1 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 0))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)

eval251.0ms (1.5%)

Compiler: Compiled 16271 to 8785 computations (46% saved)

prune101.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	441	10	451
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	443	10	453

Accuracy

99.8%

Counts

453 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	95.0%	(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
▶	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	12.8%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
▶	99.7%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	95.0%	(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
▶	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	12.8%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 872 to 640 computations (26.6% saved)

localize574.0ms (3.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.7%	(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))
✓	99.6%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
✓	99.0%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	88.7%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
✓	100.0%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
✓	99.9%	(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	99.7%	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	76.9%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	99.9%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	76.9%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	99.0%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	99.8%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	99.7%	(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))
✓	99.6%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
✓	88.7%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)

Compiler

Compiled 309 to 127 computations (58.9% saved)

series64.0ms (0.4%)

Counts

16 → 512

Calls

168 calls:

Time	Variable		Point	Expression
12.0ms	sinTheta_O	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
3.0ms	v	@	inf	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
2.0ms	cosTheta_i	@	0	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	0	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	0	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))

rewrite154.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`log1p-expm1-u`
329×	`expm1-log1p-u`
324×	`add-exp-log`
322×	`add-log-exp`
316×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	669
1	693	622

Stop Event

1×	node limit

Counts

16 → 449

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 sinTheta_O sinTheta_i)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))

Outputs
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) 1)
(.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (/.f32 1 v))
(.f32 1 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) 2) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(.f32 (pow.f32 v -1/2) (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (sqrt.f32 v)))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (cbrt.f32 v)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i))) 2) 1) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) v))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (sqrt.f32 v)))
(.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i))) 1) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) v))
(.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (cbrt.f32 v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) 3)
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) 2)
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) -1)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))) 1)
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))) 2) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))) (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (pow.f32 1 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(/.f32 (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (.f32 1/2 (exp.f32 6931/10000))) (.f32 (exp.f32 (/.f32 1 v)) v))
(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3) (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (/.f32 1 v))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 1)
(-.f32 (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (/.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v) 2) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 1 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 1)
(.f32 (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v) 2) (.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v) 2)) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(/.f32 (+.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) v) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) v))
(/.f32 (+.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (pow.f32 v 2)) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (fma.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v (neg.f32 (.f32 v 1))))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (pow.f32 v 2)))
(/.f32 (+.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 2) (+.f32 (pow.f32 v -2) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) (pow.f32 v 2))))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 3) (pow.f32 v -3)))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 2) (+.f32 (pow.f32 v -2) (/.f32 (.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) (pow.f32 v 2))))))
(/.f32 (+.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) (/.f32 1 v))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) 2) (pow.f32 v -2)))) (.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) (/.f32 1 v))))
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(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3) (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 1)
(.f32 1 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (pow.f32 (E.f32) (neg.f32 (/.f32 1 v))))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2) (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (pow.f32 1 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))
(pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))

simplify431.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`times-frac`
1176×	`fma-def`
680×	`sqr-pow`
574×	`distribute-lft-in`
476×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1213	66188
1	3450	59003

Stop Event

1×	node limit

Counts

961 → 713

Calls

Call 1

Inputs
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2))) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2))) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 -1 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (log.f32 (E.f32)) (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))))) v)))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (log.f32 (E.f32)) (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))))) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) 2))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (log.f32 (E.f32)) (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) 3))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (+.f32 1 (.f32 -1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) 2))) (pow.f32 v 2))))))
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(exp.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))) 1)
(/.f32 (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (.f32 1/2 (exp.f32 6931/10000))) (.f32 (exp.f32 (/.f32 1 v)) v))
(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (E.f32) (+.f32 (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)))
(pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 1)
(pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))) 3)
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2))
(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))) 2)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3) (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 1)
(.f32 1 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (pow.f32 (E.f32) (neg.f32 (/.f32 1 v))))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2) (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(.f32 (pow.f32 1 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))
(pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))

Outputs
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i))
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i))
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i))
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
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(cbrt.f32 (.f32 (/.f32 1/8 (pow.f32 (/.f32 v (exp.f32 6931/10000)) 3)) (pow.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v)) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))) 1)
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 1 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (pow.f32 (E.f32) (neg.f32 (/.f32 1 v))))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (/.f32 -1 v)))
(.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 1 v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2) (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 (pow.f32 1 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (sqrt.f32 (E.f32)) (.f32 2 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)) (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))
(pow.f32 (E.f32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 1)
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3)
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3) 1/3)
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 2)
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2)) (cbrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) (sqrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2)) (cbrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) (sqrt.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) (sqrt.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 2))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(fabs.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v)) 3))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))))
(exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))

eval517.0ms (3.2%)

Compiler: Compiled 27572 to 15808 computations (42.7% saved)

prune276.0ms (1.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	919	22	941
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	928	23	951

Accuracy

99.9%

Counts

951 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
	99.7%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
▶	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
▶	99.6%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
	12.8%	(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
▶	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.3%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
▶	99.7%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
	99.6%	(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))
	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
	99.6%	(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
▶	99.6%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3))
	99.2%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
	99.6%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
	12.8%	(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
	99.6%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	13.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.4%	1
	99.5%	(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
	99.7%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
▶	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
▶	99.6%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
	12.8%	(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
▶	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.3%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
▶	99.7%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
	99.6%	(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))
	99.4%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
	99.6%	(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
▶	99.6%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3))
	99.2%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
	99.6%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
	12.8%	(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
	99.6%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	13.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.4%	1

Compiler

Compiled 1956 to 1508 computations (22.9% saved)

localize677.0ms (4.1%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
	99.8%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	99.8%	(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
✓	99.6%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
✓	100.0%	(.f32 (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)) v)
✓	100.0%	(/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)
✓	99.9%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
✓	99.7%	(exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
✓	100.0%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
✓	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	100.0%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	99.4%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	99.9%	(/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)
	99.8%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	99.8%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
✓	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))

Compiler

Compiled 324 to 150 computations (53.7% saved)

series42.0ms (0.3%)

Counts

15 → 567

Calls

153 calls:

Time	Variable		Point	Expression
2.0ms	sinTheta_O	@	inf	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
1.0ms	sinTheta_O	@	0	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
1.0ms	sinTheta_i	@	0	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
1.0ms	sinTheta_i	@	-inf	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
1.0ms	sinTheta_O	@	-inf	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

377×	`log1p-expm1-u`
377×	`expm1-log1p-u`
373×	`add-exp-log`
370×	`add-log-exp`
367×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	665
1	797	621

Stop Event

1×	node limit

Counts

15 → 303

Calls

Call 1

Inputs
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)
(.f32 (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)) v)
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)))
(+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))

Outputs
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))) 1)
(.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (/.f32 1/2 v))
(.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2)) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))) (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 3))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))) 1)
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1)
(.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2)) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3)) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2))
(log.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(exp.f32 (.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v) (log.f32 (/.f32 1/2 v)))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(fma.f32 1 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1)
(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))
(.f32 1 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2)
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3) 1/3)
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1))) -1)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 1 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(.f32 1 (-.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) 2) (cbrt.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (sqrt.f32 (-.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 1 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (+.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (-.f32 1 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 3)) (+.f32 1 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(pow.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
(pow.f32 (cbrt.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 3)
(pow.f32 (pow.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 2)
(sqrt.f32 (pow.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2))
(log.f32 (exp.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(cbrt.f32 (pow.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3))
(expm1.f32 (log1p.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (log1p.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (log1p.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 1)
(*.f32 1 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
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(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (/.f32 1/2 v))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) 2) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(.f32 (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 3))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) 1)
(.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1)
(.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3)) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2) (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 2))
(log.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(exp.f32 (.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 1))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(fma.f32 1 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) (log.f32 (/.f32 1/2 v)))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 1)
(.f32 1 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 2)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(exp.f32 (log.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(exp.f32 (.f32 (log.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v) 6931/10000)
(fma.f32 1 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)

simplify368.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def`
816×	`times-frac`
544×	`sqr-pow`
502×	`associate-+r+`
494×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1028	58150
1	2872	49908

Stop Event

1×	node limit

Counts

870 → 640

Calls

Call 1

Inputs
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2))) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2))) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2))) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v)))
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(-.f32 (exp.f32 (log1p.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))) 1)
(pow.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 1)
(pow.f32 (cbrt.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 3)
(pow.f32 (pow.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2)
(sqrt.f32 (pow.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 2))
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))))
(cbrt.f32 (pow.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 3))
(cbrt.f32 (.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 v)))
(exp.f32 (.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v)) 1))
(log1p.f32 (expm1.f32 (.f32 v (exp.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))) 1)
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (/.f32 1/2 v))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) 2) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(.f32 (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(sqrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 3))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))) 1)
(.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1)
(.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (-.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3)) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2) (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 2))
(log.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(exp.f32 (.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 1))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(fma.f32 1 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) (log.f32 (/.f32 1/2 v)))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 1)
(.f32 1 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 2)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(exp.f32 (log.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(exp.f32 (.f32 (log.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v) 6931/10000)
(fma.f32 1 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)

Outputs
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(exp.f32 (.f32 (log.f32 (E.f32)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(pow.f32 (E.f32) (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))
(/.f32 1/2 v)
(+.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (.f32 (log.f32 (E.f32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))))) v))
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v
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(-.f32 (+.f32 v 1) (*.f32 sinTheta_O sinTheta_i))
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(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
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(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(fma.f32 1 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))) 1)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(.f32 1 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))))
(.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3) 332956652491/1000000000000) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v) 3) 332956652491/1000000000000) (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v) -6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (-.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v) 2)) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 1)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 3)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(pow.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3) 1/3)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 2)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 2))
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2))
(fabs.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v)))
(log.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000))))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000) 3))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(exp.f32 (log.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(exp.f32 (.f32 (log.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)) 1))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)))
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v) 6931/10000)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(fma.f32 1 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 6931/10000)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 6931/10000)
(-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1))) v))

eval575.0ms (3.5%)

Compiler: Compiled 26880 to 16348 computations (39.2% saved)

prune216.0ms (1.3%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	901	11	912
Fresh	8	10	18
Picked	3	2	5
Done	0	0	0
Total	912	23	935

Accuracy

99.9%

Counts

935 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
▶	99.7%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
▶	99.6%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
	99.5%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
	99.6%	(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
▶	6.2%	(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.6%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
	99.5%	(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
▶	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
▶	97.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
✓	99.6%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
	99.2%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
	99.6%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
	12.8%	(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
	99.6%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	13.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.4%	1
	99.5%	(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
▶	99.7%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
▶	99.6%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
	99.5%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
	99.6%	(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
▶	6.2%	(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.6%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
	99.5%	(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
▶	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
▶	97.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
✓	99.6%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
	99.2%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
	99.6%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
	12.8%	(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
	99.6%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	13.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.4%	1

Compiler

Compiled 1662 to 1328 computations (20.1% saved)

localize628.0ms (3.8%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.9%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	99.2%	(/.f32 sinTheta_O (/.f32 v sinTheta_i))
✓	96.2%	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
✓	100.0%	(*.f32 (exp.f32 (/.f32 1 v)) v)
✓	100.0%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
✓	99.7%	(exp.f32 (/.f32 1 v))
✓	99.9%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
✓	99.7%	(exp.f32 (/.f32 -1 v))
✓	100.0%	(+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	100.0%	(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
	99.4%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	43.9%	(-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
	99.8%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	99.8%	(/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2)
✓	99.7%	(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
✓	99.7%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))

Compiler

Compiled 285 to 155 computations (45.6% saved)

series27.0ms (0.2%)

Counts

14 → 448

Calls

114 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
1.0ms	v	@	0	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
1.0ms	v	@	inf	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
1.0ms	sinTheta_i	@	0	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
1.0ms	sinTheta_O	@	0	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`log1p-expm1-u`
416×	`expm1-log1p-u`
408×	`add-exp-log`
406×	`add-log-exp`
404×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	559
1	909	507

Stop Event

1×	node limit

Counts

14 → 282

Calls

Call 1

Inputs
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))
(/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2)
(-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 1 v))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 (exp.f32 (/.f32 1 v)) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))

Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2))) 1)
(.f32 1 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2))
(.f32 (cbrt.f32 (pow.f32 (exp.f32 4) (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)) (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)))
(.f32 (pow.f32 (exp.f32 2) (/.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2) 2)) (pow.f32 (exp.f32 2) (/.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2) 2)))
(.f32 (pow.f32 1 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 4)) (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) (pow.f32 (cbrt.f32 (exp.f32 2)) (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)))
(.f32 (pow.f32 (sqrt.f32 (exp.f32 2)) (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) (pow.f32 (sqrt.f32 (exp.f32 2)) (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)))
(log.f32 (exp.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2))))
(cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)))
(exp.f32 (.f32 2 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)))
(exp.f32 (.f32 (.f32 2 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) 1))
(log1p.f32 (expm1.f32 (pow.f32 (pow.f32 (exp.f32 2) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1/2)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))) 1)
(.f32 1 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2) (.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(pow.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 3)
(pow.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2)
(log.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(exp.f32 (log.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(exp.f32 (.f32 (log.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 1))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(fma.f32 1 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) 2)) (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2))) 1)
(.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)
(.f32 1 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) 2) (cbrt.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)) (sqrt.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2)))
(pow.f32 (.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1/2) 1)
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(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(+.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) -1))
(+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) -1)
(+.f32 0 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) 1)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)
(pow.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O 3) (pow.f32 (/.f32 v sinTheta_i) 3)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(fma.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) 2) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) -1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) 1)
(*.f32 1 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(*.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (exp.f32 -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(*.f32 (exp.f32 1) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) -1)))
(/.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (exp.f32 1))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 1)
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 3)
(pow.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3) 1/3)
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)
(pow.f32 (exp.f32 1) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))

simplify309.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-r`
940×	`fma-def`
712×	`times-frac`
502×	`sqr-pow`
436×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	876	39620
1	2409	38094

Stop Event

1×	node limit

Counts

730 → 521

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
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v
(+.f32 1 v)
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v
(+.f32 1 v)
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(exp.f32 6931/10000)
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(exp.f32 6931/10000)
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(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
1
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(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
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1
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1
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(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (log1p.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)
(fma.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O 1)
(fma.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
(fma.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1)
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i 1)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(pow.f32 (exp.f32 1) (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 -1 v)) 2)) (cbrt.f32 (/.f32 -1 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 -1 v))) (sqrt.f32 (/.f32 -1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v))) v)
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 2)
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (/.f32 -1 v)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (exp.f32 (/.f32 1 v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) 2)
(pow.f32 (exp.f32 1) (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 1 v))) (sqrt.f32 (/.f32 1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 1 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))) 1)
(.f32 1 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(.f32 (.f32 1/2 (exp.f32 6931/10000)) (/.f32 1 (*.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (cbrt.f32 (pow.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) 2)) (cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))) (sqrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))))
(pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))) 2)
(pow.f32 (/.f32 (.f32 v (exp.f32 (/.f32 1 v))) (.f32 1/2 (exp.f32 6931/10000))) -1)
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 1/2 (exp.f32 6931/10000)) 3) (pow.f32 (.f32 v (exp.f32 (/.f32 1 v))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 1))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 v (exp.f32 (/.f32 1 v))))) 1)
(pow.f32 (*.f32 v (exp.f32 (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (*.f32 v (exp.f32 (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 (/.f32 1 v)))) 2)
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v (exp.f32 (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 (/.f32 1 v))) 3))
(cbrt.f32 (*.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 1 v)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 (/.f32 1 v) (log.f32 v)))
(exp.f32 (*.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 1))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 (/.f32 1 v)))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) 1)
(.f32 1 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) 2)) (cbrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (sqrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) 2)
(pow.f32 (exp.f32 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 6931/10000 (/.f32 1 v)))) -1)
(log.f32 (exp.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(+.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) -1))
(+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) -1)
(+.f32 0 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) 1)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)
(pow.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O 3) (pow.f32 (/.f32 v sinTheta_i) 3)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(fma.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) 2) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) -1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) 1)
(*.f32 1 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(*.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (exp.f32 -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(*.f32 (exp.f32 1) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) -1)))
(/.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) 1)) (exp.f32 1))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 1)
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 3)
(pow.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3) 1/3)
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)
(pow.f32 (exp.f32 1) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))

Outputs
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))))
(/.f32 (*.f32 1/2 (exp.f32 6931/10000)) v)
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
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v
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(exp.f32 6931/10000)
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(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)

eval341.0ms (2.1%)

Compiler: Compiled 16367 to 11082 computations (32.3% saved)

prune211.0ms (1.3%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	626	7	633
Fresh	2	14	16
Picked	1	4	5
Done	0	2	2
Total	629	27	656

Accuracy

99.9%

Counts

656 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
	99.6%	(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)) 2))
	99.7%	(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
✓	99.6%	(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
	99.5%	(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
	99.6%	(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
	99.6%	(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
	6.2%	(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
✓	6.2%	(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.6%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
	99.5%	(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))))
	99.6%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
✓	91.4%	(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
✓	97.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
✓	99.6%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.6%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
	99.2%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
	99.6%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
	12.8%	(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
	99.6%	(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
	97.7%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
	12.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	13.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.4%	1

Compiler

Compiled 1376 to 969 computations (29.6% saved)

regimes263.0ms (1.6%)

Counts

53 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3))
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
(*.f32 (/.f32 1/2 v) (/.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))) 2)) (cbrt.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))

Outputs
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))

Calls

9 calls:

26.0ms	sinTheta_O
26.0ms	cosTheta_O
25.0ms	cosTheta_i
25.0ms	sinTheta_i
24.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 974 to 637 computations (34.6% saved)

regimes181.0ms (1.1%)

Counts

47 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) 1) v))) 3))

Outputs
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))

Calls

9 calls:

26.0ms	cosTheta_O
23.0ms	sinTheta_O
23.0ms	sinTheta_i
22.0ms	cosTheta_i
18.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 800 to 533 computations (33.4% saved)

regimes161.0ms (1%)

Counts

43 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v)) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))

Outputs
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))

Calls

9 calls:

21.0ms	cosTheta_i
21.0ms	cosTheta_O
21.0ms	sinTheta_i
20.0ms	sinTheta_O
15.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 717 to 476 computations (33.6% saved)

regimes146.0ms (0.9%)

Counts

38 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))) (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v))))) v))))
(/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (exp.f32 (+.f32 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v) (log.f32 v))))
(.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v)))) 2))

Outputs
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

Calls

9 calls:

20.0ms	sinTheta_i
18.0ms	cosTheta_O
18.0ms	sinTheta_O
18.0ms	cosTheta_i
14.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 621 to 421 computations (32.2% saved)

regimes87.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 (-.f32 1 (.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 1/2) 6931/10000) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) v))
(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 1 v)))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))

Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))

Calls

5 calls:

16.0ms	cosTheta_i
16.0ms	cosTheta_O
16.0ms	sinTheta_O
15.0ms	sinTheta_i
15.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`

Compiler

Compiled 404 to 271 computations (32.9% saved)

regimes64.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 6931/10000) 1/2) (.f32 (exp.f32 (/.f32 1 v)) v))

Outputs
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))

Calls

5 calls:

12.0ms	cosTheta_O
12.0ms	sinTheta_i
12.0ms	sinTheta_O
11.0ms	cosTheta_i
10.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`

Compiler

Compiled 259 to 179 computations (30.9% saved)

regimes46.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
(/.f32 1 (*.f32 (/.f32 v 1/2) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000))))

Outputs
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))

Calls

5 calls:

9.0ms	sinTheta_i
9.0ms	sinTheta_O
9.0ms	cosTheta_i
8.0ms	cosTheta_O
7.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`

Compiler

Compiled 153 to 104 computations (32% saved)

regimes40.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))

Outputs
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))

Calls

5 calls:

8.0ms	cosTheta_i
8.0ms	sinTheta_i
8.0ms	v
7.0ms	cosTheta_O
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.7%	1	`cosTheta_i`
97.7%	1	`cosTheta_O`
97.7%	1	`sinTheta_i`
97.7%	1	`sinTheta_O`
97.7%	1	`v`

Compiler

Compiled 119 to 80 computations (32.8% saved)

regimes40.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Calls

5 calls:

12.0ms	sinTheta_i
7.0ms	cosTheta_O
7.0ms	cosTheta_i
6.0ms	v
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
13.9%	1	`cosTheta_O`
18.4%	2	`sinTheta_i`
13.9%	1	`sinTheta_O`
13.9%	1	`cosTheta_i`
13.9%	1	`v`

Compiler

Compiled 103 to 70 computations (32% saved)

regimes13.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))

Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))

Calls

1 calls:

11.0ms

sinTheta_i

Results

Accuracy	Segments	Branch
18.4%	2	`sinTheta_i`

Compiler

Compiled 71 to 45 computations (36.6% saved)

regimes12.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))

Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))

Calls

1 calls:

10.0ms

sinTheta_i

Results

Accuracy	Segments	Branch
18.4%	2	`sinTheta_i`

Compiler

Compiled 64 to 41 computations (35.9% saved)

regimes17.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))

Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))

Calls

3 calls:

6.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
13.9%	1	`sinTheta_O`
13.9%	1	`v`
13.9%	1	`sinTheta_i`

Compiler

Compiled 69 to 47 computations (31.9% saved)

regimes22.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 1 (-.f32 (+.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 1 (-.f32 (+.f32 1 (+.f32 1 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1))) 1))

Outputs
1

Calls

5 calls:

5.0ms	sinTheta_i
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
6.4%	1	`cosTheta_i`
6.4%	1	`cosTheta_O`
6.4%	1	`sinTheta_i`
6.4%	1	`sinTheta_O`
6.4%	1	`v`

Compiler

Compiled 69 to 51 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-5.904451700451511e-30	-5.606655911275211e-30

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-5.904451700451511e-30	-5.606655911275211e-30

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-5.904451700451511e-30	-5.606655911275211e-30

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative`
52×	`*-commutative`
38×	`sub-neg`
30×	`neg-sub0`
28×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	729
1	142	725
2	183	725
3	216	725
4	235	725
5	238	725

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1

Outputs
(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) -1) v))))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v)) 2))
(pow.f32 (exp.f32 2) (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) -1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) -1) v))))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (+.f32 -1 (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v)))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 -1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) 1) v))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (.f32 sinTheta_O sinTheta_i)) v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(if (<=.f32 sinTheta_i -15419045/2658455991569831745807614120560689152) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (exp.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1

Compiler

Compiled 252 to 191 computations (24.2% saved)

soundness4.9s (30.2%)

Rules

1484×	`times-frac`
1484×	`times-frac`
1484×	`times-frac`
1484×	`times-frac`
1484×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445
0	39	393
1	690	353
0	823	42747
1	2430	40840
0	41	669
1	693	622
0	1213	66188
1	3450	59003
0	41	669
1	693	622
0	1213	66188
1	3450	59003
0	823	42747
1	2430	40840
0	41	669
1	693	622
0	1213	66188
1	3450	59003
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445
0	1213	66188
1	3450	59003
0	1213	66188
1	3450	59003
0	41	669
1	693	622
0	1213	66188
1	3450	59003
0	1213	66188
1	3450	59003
0	39	393
1	690	353
0	41	669
1	693	622
0	1213	66188
1	3450	59003

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 2561 to 1436 computations (43.9% saved)

end0.0ms (0%)

preprocess112.0ms (0.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 552 to 354 computations (35.9% saved)

analyze534.0ms (3.3%)

sample2.5s (15.5%)

preprocess309.0ms (1.9%)

eval1.0ms (0%)

prune3.0ms (0%)

localize326.0ms (2%)

series57.0ms (0.3%)

rewrite156.0ms (1%)

simplify281.0ms (1.7%)

eval251.0ms (1.5%)

prune101.0ms (0.6%)

localize574.0ms (3.5%)

series64.0ms (0.4%)

rewrite154.0ms (0.9%)

simplify431.0ms (2.6%)

eval517.0ms (3.2%)

prune276.0ms (1.7%)

localize677.0ms (4.1%)

series42.0ms (0.3%)

rewrite136.0ms (0.8%)

simplify368.0ms (2.2%)

eval575.0ms (3.5%)

prune216.0ms (1.3%)

localize628.0ms (3.8%)

series27.0ms (0.2%)

rewrite111.0ms (0.7%)

simplify309.0ms (1.9%)

eval341.0ms (2.1%)

prune211.0ms (1.3%)

regimes263.0ms (1.6%)

regimes181.0ms (1.1%)

regimes161.0ms (1%)

regimes146.0ms (0.9%)

regimes87.0ms (0.5%)

regimes64.0ms (0.4%)

regimes46.0ms (0.3%)

regimes40.0ms (0.2%)

regimes40.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes17.0ms (0.1%)

regimes22.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness4.9s (30.2%)

end0.0ms (0%)

preprocess112.0ms (0.7%)

Profiling