Metrics for HairBSDF, Mp, lower

analyze1.5s (6.2%)

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)

sample4.9s (20%)

Results

4.8s	8256×	body	256	valid
60.0ms	134×	body	256	invalid

Bogosity

preprocess68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1205
1	461	1129
2	1373	1037
3	6228	1037

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_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (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 1/2 v))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) -6931/10000))) (/.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)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (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 1/2 v))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) -6931/10000))) (/.f32 1/2 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 (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 cosTheta_i v) (neg.f32 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 cosTheta_i v) (neg.f32 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 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 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 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 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_i (neg.f32 v)) sinTheta_O) (+.f32 (/.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_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (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 1/2 v))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) -6931/10000))) (/.f32 1/2 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 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (*.f32 cosTheta_O sinTheta_i) v) (+.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_O) (+.f32 (*.f32 (/.f32 cosTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) -6931/10000)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_i) (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 (/.f32 cosTheta_O (/.f32 v sinTheta_O)) (/.f32 cosTheta_i (/.f32 v sinTheta_i))) (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_O) (*.f32 (/.f32 sinTheta_i v) cosTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (.f32 cosTheta_O (/.f32 sinTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) cosTheta_i (/.f32 1 v)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 (/.f32 cosTheta_O v) sinTheta_O (-.f32 (/.f32 -1 v) (.f32 sinTheta_i (/.f32 cosTheta_i 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 6931/10000 (+.f32 (-.f32 (.f32 (/.f32 v cosTheta_i) cosTheta_O) (*.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O)) (/.f32 -1 cosTheta_i)))) (/.f32 1/2 cosTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (fma.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O (/.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 cosTheta_i (/.f32 v sinTheta_i)) (+.f32 (/.f32 cosTheta_O (/.f32 v sinTheta_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 (+.f32 6931/10000 (.f32 sinTheta_i (/.f32 cosTheta_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 (*.f32 cosTheta_O sinTheta_i) v) (/.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)))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (-.f32 (/.f32 -1 v) (.f32 (/.f32 cosTheta_O v) sinTheta_i))))))
(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 6931/10000 (-.f32 (.f32 (/.f32 v cosTheta_O) cosTheta_i) (fma.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 1 cosTheta_O))))) (/.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_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (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 1/2 v))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) -6931/10000))) (/.f32 1/2 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 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) (+.f32 (/.f32 v (/.f32 sinTheta_i sinTheta_O)) (/.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 (/.f32 cosTheta_O sinTheta_i) cosTheta_i) (fma.f32 (/.f32 v sinTheta_i) sinTheta_O (+.f32 (/.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 (*.f32 v sinTheta_i) sinTheta_O) (/.f32 1 sinTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_O)))))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O) (-.f32 (+.f32 (*.f32 (/.f32 sinTheta_i sinTheta_O) v) (/.f32 1 sinTheta_O)) 6931/10000))) (/.f32 1/2 sinTheta_O))
(.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (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 30 to 22 computations (26.7% 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
▶	99.4%	(.f32 (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 1/2 v))
▶	99.3%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	99.4%	(.f32 (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 1/2 v))
▶	99.3%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.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)

localize389.0ms (1.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.6%	(.f32 (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 1/2 v))
✓	99.3%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	99.3%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.4%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
✓	99.4%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))

Compiler

Compiled 218 to 89 computations (59.2% saved)

series228.0ms (0.9%)

Counts

8 → 336

Calls

84 calls:

Time	Variable		Point	Expression
71.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
33.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
9.0ms	cosTheta_i	@	-inf	(.f32 (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 1/2 v))
8.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
4.0ms	cosTheta_O	@	0	(/.f32 cosTheta_O (/.f32 v cosTheta_i))

rewrite212.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`add-sqr-sqrt`
770×	`pow1`
770×	`*-un-lft-identity`
734×	`add-exp-log`
732×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	250
1	825	246

Stop Event

1×	node limit

Counts

8 → 126

Calls

Call 1

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

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

simplify473.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg`
612×	`unswap-sqr`
526×	`fma-def`
512×	`times-frac`
494×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	22102
1	1249	20378
2	5171	20162

Stop Event

1×	node limit

Counts

462 → 275

Calls

Call 1

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

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

eval243.0ms (1%)

Compiler: Compiled 11051 to 6437 computations (41.8% saved)

prune64.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	266	9	275
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	268	9	277

Accuracy

99.8%

Counts

277 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.4%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 1/2 v))
	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
▶	99.4%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	99.4%	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
▶	99.8%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
▶	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
	99.3%	(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.4%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 1/2 v))
	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
▶	99.4%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	99.4%	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
▶	99.8%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) v))
▶	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))

Compiler

Compiled 884 to 648 computations (26.7% saved)

localize887.0ms (3.6%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.5%	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
✓	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	90.0%	(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
✓	99.9%	(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	99.8%	(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	99.6%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 1/2 v))
✓	78.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
✓	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	99.6%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))) (/.f32 1/2 v))
✓	78.8%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
✓	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	99.9%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 1 v)))
✓	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	78.8%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Compiler

Compiled 434 to 213 computations (50.9% saved)

series141.0ms (0.6%)

Counts

17 → 318

Calls

147 calls:

Time	Variable		Point	Expression
30.0ms	v	@	-inf	(/.f32 (exp.f32 6931/10000) v)
28.0ms	cosTheta_i	@	inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
18.0ms	cosTheta_O	@	inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
8.0ms	sinTheta_O	@	inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
7.0ms	sinTheta_i	@	inf	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))

rewrite142.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`add-sqr-sqrt`
952×	`pow1`
950×	`*-un-lft-identity`
902×	`add-exp-log`
900×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	519
1	971	519

Stop Event

1×	node limit

Counts

17 → 164

Calls

Call 1

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

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

simplify261.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1330×	`fma-def`
916×	`*-commutative`
836×	`times-frac`
794×	`associate-/l*`
540×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	738	27646
1	2209	23540

Stop Event

1×	node limit

Counts

482 → 368

Calls

Call 1

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

Outputs
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
6931/10000
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
6931/10000
6931/10000
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
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(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
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(cbrt.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (exp.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(+.f32 6931/10000 (neg.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 1 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(.f32 (.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) 3)) (+.f32 48038761/100000000 (+.f32 (.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)) (+.f32 48038761/100000000 (.f32 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 3)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (*.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (-.f32 48038761/100000000 (.f32 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (+.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)))
(pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 1)
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(log.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(cbrt.f32 (.f32 (.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(cbrt.f32 (.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v)) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(exp.f32 (log.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_i sinTheta_O)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))) (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) 1)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(log.f32 (exp.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) 1/4) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 1 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(log.f32 (exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(cbrt.f32 (.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(pow.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) 1)
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000))))
(log.f32 (exp.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000))))
(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(cbrt.f32 (.f32 (.f32 (/.f32 1/2 v) (.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))) (.f32 (.f32 (.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) v)) 1/4) (.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000)))) 3))
(expm1.f32 (log1p.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.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 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O 1) v) 6931/10000))))

eval404.0ms (1.6%)

Compiler: Compiled 21991 to 13867 computations (36.9% saved)

prune134.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	570	6	576
Fresh	0	4	4
Picked	4	1	5
Done	0	0	0
Total	574	11	585

Accuracy

99.8%

Counts

585 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	90.1%	(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (exp.f32 (/.f32 1 v))) (/.f32 1/2 v))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.1%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
▶	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	99.4%	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))
	99.4%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	99.4%	(.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
▶	99.8%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
	99.3%	(+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	90.1%	(.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (exp.f32 (/.f32 1 v))) (/.f32 1/2 v))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.1%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
▶	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	99.4%	(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))))
	99.4%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	99.4%	(.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
▶	99.8%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	4.6%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))

Compiler

Compiled 1002 to 760 computations (24.2% saved)

localize655.0ms (2.7%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	99.6%	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
	99.4%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
	78.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	99.8%	(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
✓	99.5%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	99.8%	(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
	99.6%	(log.f32 (/.f32 1/2 v))
	78.8%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	98.8%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	100.0%	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
✓	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.8%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

Compiler

Compiled 404 to 221 computations (45.3% saved)

series41.0ms (0.2%)

Counts

10 → 213

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	sinTheta_i	@	inf	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
2.0ms	sinTheta_i	@	0	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
2.0ms	sinTheta_O	@	0	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
2.0ms	v	@	-inf	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))
2.0ms	v	@	inf	(.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O)) v) (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 1/2 v))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1038×	`pow1`
984×	`add-exp-log`
982×	`add-log-exp`
972×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	380
1	1126	380

Stop Event

1×	node limit

Counts

10 → 91

Calls

Call 1

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

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

simplify159.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-l`
1106×	`fma-def`
1072×	`times-frac`
690×	`associate-/r*`
474×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	704	22024
1	2173	19238

Stop Event

1×	node limit

Counts

304 → 349

Calls

Call 1

Inputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) 1)) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) v) (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3)) (pow.f32 v 3))))))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) v))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 3) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) v)))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 2))) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 cosTheta_O 3))) (pow.f32 v 3))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 (.f32 -1 (log.f32 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (+.f32 (log.f32 1/2) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))))
(+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))))
(+.f32 (log.f32 -1/2) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) v)))))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3) (exp.f32 6931/10000)) (pow.f32 v 4))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2) (exp.f32 6931/10000)) (pow.f32 v 3))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 6931/10000)) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) 2) (exp.f32 6931/10000)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/12 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_i cosTheta_O))) 3) (exp.f32 6931/10000)) (pow.f32 v 4))))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 1 v))) (exp.f32 6931/10000)) v))
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(cbrt.f32 (.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(expm1.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(log1p.f32 (expm1.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(/.f32 (.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) 1/2) v)
(pow.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) 1)
(log.f32 (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(exp.f32 (log.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(.f32 1 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(.f32 (exp.f32 6931/10000) (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) 1)
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(cbrt.f32 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))

Outputs
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))) (/.f32 (exp.f32 6931/10000) v))
(exp.f32 6931/10000)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 6931/10000))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (exp.f32 6931/10000))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (exp.f32 6931/10000)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (exp.f32 6931/10000)) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (exp.f32 6931/10000))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (exp.f32 6931/10000))) (/.f32 (exp.f32 6931/10000) v))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
(exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))))
(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) v))
(+.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1))))
(+.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) 1)) v)))
(fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (*.f32 v v) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (+.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1)))))
(+.f32 (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (*.f32 v v) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 2)) (pow.f32 v 2))) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (-.f32 (.f32 cosTheta_i cosTheta_O) 1)) v) (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) 1) 3)) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (.f32 v v) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (+.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1))) (.f32 1/6 (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3)))))))
(+.f32 (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (*.f32 v v) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 2))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (fma.f32 1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 cosTheta_i cosTheta_O -1) 3))) (/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 v (fma.f32 cosTheta_i cosTheta_O -1)))))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2))))
(*.f32 (/.f32 -1 v) (exp.f32 (+.f32 6931/10000 (log.f32 -1/2))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_i cosTheta_O))) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))) v)))
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(log.f32 (exp.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(cbrt.f32 (.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))) (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(log1p.f32 (expm1.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O -1) v))
(/.f32 (.f32 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) 1/2) v)
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(pow.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) 1)
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(log.f32 (exp.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))))) (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(cbrt.f32 (.f32 (.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) v)) v)) (.f32 (.f32 (/.f32 1/2 v) (/.f32 1/2 v)) (.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) v)) (+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))) v))))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v)) 3))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(exp.f32 (log.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))))
(.f32 1/2 (+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (.f32 v v)) (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))
(*.f32 1/2 (/.f32 (+.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_i (/.f32 (/.f32 v cosTheta_O) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) v))
(.f32 1 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(.f32 (exp.f32 6931/10000) (/.f32 1 (exp.f32 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))) 1)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(cbrt.f32 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O)))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(cbrt.f32 (.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 (+.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))

eval397.0ms (1.6%)

Compiler: Compiled 16818 to 11496 computations (31.6% saved)

prune272.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	434	11	445
Fresh	3	2	5
Picked	4	1	5
Done	1	0	1
Total	442	14	456

Accuracy

99.8%

Counts

456 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.3%	(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))
✓	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (exp.f32 (/.f32 -1 v)) (/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O (exp.f32 (/.f32 -1 v)))))))
▶	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.0%	(.f32 (.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 6931/10000) v)))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	99.4%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	99.4%	(.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
▶	98.3%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
▶	99.7%	(*.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
	50.5%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 3) (pow.f32 (/.f32 1 v) 3)) (+.f32 (.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (+.f32 (.f32 (/.f32 1 v) (/.f32 1 v)) (*.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (/.f32 1 v))))))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	12.7%	(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
▶	12.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	4.6%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.3%	(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v))
✓	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (exp.f32 (/.f32 -1 v)) (/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O (exp.f32 (/.f32 -1 v)))))))
▶	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.0%	(.f32 (.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 6931/10000) v)))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 -1 v))))
	99.4%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	99.4%	(.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
▶	98.3%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
▶	99.7%	(*.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
	50.5%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 3) (pow.f32 (/.f32 1 v) 3)) (+.f32 (.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (+.f32 (.f32 (/.f32 1 v) (/.f32 1 v)) (*.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (/.f32 1 v))))))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	12.7%	(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
▶	12.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 1198 to 932 computations (22.2% saved)

localize8.5s (34.5%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v)
✓	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	99.8%	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	99.9%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(/.f32 (exp.f32 6931/10000) v)
✓	99.8%	(exp.f32 (/.f32 -1 v))
✓	99.9%	(/.f32 (exp.f32 (/.f32 -1 v)) v)
✓	99.8%	(exp.f32 (/.f32 -1 v))
	99.9%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
	99.9%	(-.f32 6931/10000 (/.f32 1 v))
	99.8%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	99.8%	(exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
✓	85.8%	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))

Compiler

Compiled 255 to 185 computations (27.5% saved)

series59.0ms (0.2%)

Counts

10 → 100

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	v	@	0	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
11.0ms	v	@	-inf	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
9.0ms	v	@	inf	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
8.0ms	cosTheta_i	@	0	(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v)
7.0ms	cosTheta_O	@	0	(/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) cosTheta_O)) v)

rewrite768.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`add-sqr-sqrt`
620×	`pow1`
618×	`*-un-lft-identity`
594×	`add-exp-log`
590×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	248
1	649	248

Stop Event

1×	node limit

Counts

10 → 303

Calls

Call 1

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

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

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-l`
1048×	`associate-r`
874×	`times-frac`
532×	`fma-def`
356×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	783	15947
1	2053	14923

Stop Event

1×	node limit

Counts

403 → 526

Calls

Call 1

Inputs
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 1 v)) 6931/10000)
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(/.f32 1 v)
(-.f32 (/.f32 1 v) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 4))) (/.f32 1 (pow.f32 v 2))))
(/.f32 1 v)
(-.f32 (/.f32 1 v) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 4))) (/.f32 1 (pow.f32 v 2))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (exp.f32 6931/10000)) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (*.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 3))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) v)) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (pow.f32 v 2))))))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 2))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) v)) (+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (*.f32 -1/6 (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (pow.f32 v 3))))))
(/.f32 -1 v)
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 6931/10000 (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (*.f32 -1 (log.f32 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1/2)))
(/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1 v)) (+.f32 6931/10000 (log.f32 1/2)))) (.f32 cosTheta_i cosTheta_O)) v)
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(.f32 (sqrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) (sqrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(.f32 (pow.f32 v -1/2) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (sqrt.f32 v)))
(.f32 (.f32 (.f32 (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) (neg.f32 cosTheta_i)) (/.f32 1 v))
(.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 1) (/.f32 1 v))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (cbrt.f32 v)))
(.f32 (/.f32 cosTheta_i 1) (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) v))
(.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) (cbrt.f32 v)))
(.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) (sqrt.f32 v)))
(.f32 (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))
(.f32 (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) 1) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) cosTheta_O) (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_i (cbrt.f32 v)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) 2) 1) (/.f32 (cbrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) v))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) (sqrt.f32 v)))
(.f32 (/.f32 (sqrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) 1) (/.f32 (sqrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) v))
(.f32 (/.f32 (sqrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) (cbrt.f32 v)))
(.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 1) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))
(.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))
(.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (pow.f32 v -1/2)) (pow.f32 v -1/2))
(pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 3)
(pow.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 2)
(pow.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) -1)
(neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 2))
(log.f32 (exp.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v))))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(exp.f32 (log.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))

Outputs
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(+.f32 (log.f32 (/.f32 1 v)) 6931/10000)
(-.f32 6931/10000 (log.f32 v))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 (+.f32 (log.f32 (/.f32 1 v)) 6931/10000) (/.f32 1 v))
(-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000))))
(+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 6931/10000))))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 6931/10000 (log.f32 -1)))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 6931/10000)))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (+.f32 6931/10000 (log.f32 -1)) (/.f32 -1 v)))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 6931/10000)))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (+.f32 6931/10000 (log.f32 -1)) (/.f32 -1 v)))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (*.f32 -1 (exp.f32 6931/10000)))) (/.f32 1 v))
(-.f32 (+.f32 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 6931/10000)))) (/.f32 1 v))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (+.f32 6931/10000 (log.f32 -1)) (/.f32 -1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) v)
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
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(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (*.f32 v v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
1
(-.f32 1 (/.f32 1 v))
(+.f32 1 (/.f32 -1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
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(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 -1 v))) (/.f32 1/6 (pow.f32 v 3)))
1
(-.f32 1 (/.f32 1 v))
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(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
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(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 -1 v))) (/.f32 1/6 (pow.f32 v 3)))
(/.f32 1 v)
(-.f32 (/.f32 1 v) (/.f32 1 (pow.f32 v 2)))
(-.f32 (/.f32 1 v) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1 v) (/.f32 -1 (*.f32 v v)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 3))) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/2 (pow.f32 v 3)) (/.f32 -1 (*.f32 v v))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 4))) (/.f32 1 (pow.f32 v 2))))
(-.f32 (-.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 3))) (/.f32 1/6 (pow.f32 v 4))) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1/2 (pow.f32 v 3)) (-.f32 (/.f32 1 v) (+.f32 (/.f32 1 (*.f32 v v)) (/.f32 1/6 (pow.f32 v 4)))))
(/.f32 1 v)
(-.f32 (/.f32 1 v) (/.f32 1 (pow.f32 v 2)))
(-.f32 (/.f32 1 v) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1 v) (/.f32 -1 (*.f32 v v)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (/.f32 1 (pow.f32 v 2)))
(-.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 3))) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1 v) (+.f32 (/.f32 1/2 (pow.f32 v 3)) (/.f32 -1 (*.f32 v v))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 4))) (/.f32 1 (pow.f32 v 2))))
(-.f32 (-.f32 (+.f32 (/.f32 1 v) (/.f32 1/2 (pow.f32 v 3))) (/.f32 1/6 (pow.f32 v 4))) (/.f32 1 (*.f32 v v)))
(+.f32 (/.f32 1/2 (pow.f32 v 3)) (-.f32 (/.f32 1 v) (+.f32 (/.f32 1 (*.f32 v v)) (/.f32 1/6 (pow.f32 v 4)))))
1
(-.f32 1 (/.f32 1 v))
(+.f32 1 (/.f32 -1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 -1 v)))
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(+.f32 (/.f32 1/2 (*.f32 v v)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (*.f32 v v)) (/.f32 -1 v))) (/.f32 1/6 (pow.f32 v 3)))
1
(-.f32 1 (/.f32 1 v))
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(.f32 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 1 v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))) (.f32 (cbrt.f32 (pow.f32 v -2)) (/.f32 1 (cbrt.f32 v))))
(.f32 cosTheta_i (.f32 (.f32 cosTheta_O (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))) (/.f32 (cbrt.f32 (pow.f32 v -2)) (cbrt.f32 v))))
(.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (pow.f32 v -1/2)) (pow.f32 v -1/2))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 1)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(pow.f32 (cbrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 3)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(pow.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 3) 1/3)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(pow.f32 (sqrt.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 2)
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(pow.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))) -1)
(/.f32 1 (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 1 v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))))
(/.f32 1 (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))))))
(neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(sqrt.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 2))
(sqrt.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))) 2))
(fabs.f32 (.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O))))
(log.f32 (exp.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(cbrt.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v) 3))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 3) (pow.f32 v -3)))
(cbrt.f32 (.f32 (pow.f32 v -3) (pow.f32 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))) 3)))
(cbrt.f32 (.f32 (pow.f32 v -3) (pow.f32 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) 3) (pow.f32 v 3)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(expm1.f32 (log1p.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(exp.f32 (log.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)) 1))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))
(log1p.f32 (expm1.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(.f32 cosTheta_i (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)) (/.f32 v cosTheta_O)))

eval2.1s (8.4%)

Compiler: Compiled 24932 to 19414 computations (22.1% saved)

prune355.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	802	5	807
Fresh	3	5	8
Picked	2	3	5
Done	1	0	1
Total	808	13	821

Accuracy

99.8%

Counts

821 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (/.f32 (.f32 cosTheta_i (.f32 (*.f32 (exp.f32 (+.f32 (/.f32 -1 v) 6931/10000)) (/.f32 1/2 v)) cosTheta_O)) v))
	98.9%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
✓	99.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.0%	(.f32 (.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 6931/10000) v)))) (exp.f32 (/.f32 -1 v)))
	99.4%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	99.4%	(.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 1 v))))
✓	98.3%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
	4.6%	(*.f32 1/2 (/.f32 1 v))
	99.7%	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 1 v))))
	50.5%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 3) (pow.f32 (/.f32 1 v) 3)) (+.f32 (.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (+.f32 (.f32 (/.f32 1 v) (/.f32 1 v)) (*.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (/.f32 1 v))))))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	12.7%	(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
✓	12.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 914 to 638 computations (30.2% saved)

regimes276.0ms (1.1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

9 calls:

39.0ms	cosTheta_O
37.0ms	(+.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))))
33.0ms	sinTheta_i
31.0ms	sinTheta_O
30.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	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)))))`
99.8%	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))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 742 to 500 computations (32.6% saved)

regimes59.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	sinTheta_i
11.0ms	cosTheta_i
10.0ms	cosTheta_O
10.0ms	sinTheta_O
10.0ms	v

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes121.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 1 v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))

Outputs
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Calls

5 calls:

75.0ms	v
13.0ms	cosTheta_O
10.0ms	sinTheta_O
10.0ms	cosTheta_i
10.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
12.7%	1	`cosTheta_i`
12.7%	1	`cosTheta_O`
12.7%	1	`sinTheta_i`
12.7%	1	`sinTheta_O`
12.7%	1	`v`

Compiler

Compiled 70 to 55 computations (21.4% saved)

regimes31.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (/.f32 1 v))

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

Calls

5 calls:

9.0ms	cosTheta_i
5.0ms	sinTheta_O
5.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
4.6%	1	`sinTheta_O`
4.6%	1	`cosTheta_i`
4.6%	1	`sinTheta_i`
4.6%	1	`v`
4.6%	1	`cosTheta_O`

Compiler

Compiled 40 to 34 computations (15% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	31	82
2	36	82
3	40	82
4	45	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 49 to 41 computations (16.3% saved)

soundness389.0ms (1.6%)

Rules

1122×	`associate-l`
1106×	`fma-def`
1072×	`times-frac`
838×	`distribute-neg-in`
838×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1205
1	461	1129
2	1373	1037
3	6228	1037
0	162	1205
1	461	1129
2	1373	1037
3	6228	1037
0	704	22024
1	2173	19238

Stop Event

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

Compiler

Compiled 73 to 46 computations (37% saved)

end0.0ms (0%)

preprocess50.0ms (0.2%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 188 to 148 computations (21.3% saved)

analyze1.5s (6.2%)

sample4.9s (20%)

preprocess68.0ms (0.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize389.0ms (1.6%)

series228.0ms (0.9%)

rewrite212.0ms (0.9%)

simplify473.0ms (1.9%)

eval243.0ms (1%)

prune64.0ms (0.3%)

localize887.0ms (3.6%)

series141.0ms (0.6%)

rewrite142.0ms (0.6%)

simplify261.0ms (1.1%)

eval404.0ms (1.6%)

prune134.0ms (0.5%)

localize655.0ms (2.7%)

series41.0ms (0.2%)

rewrite135.0ms (0.6%)

simplify159.0ms (0.6%)

eval397.0ms (1.6%)

prune272.0ms (1.1%)

localize8.5s (34.5%)

series59.0ms (0.2%)

rewrite768.0ms (3.1%)

simplify142.0ms (0.6%)

eval2.1s (8.4%)

prune355.0ms (1.4%)

regimes276.0ms (1.1%)

regimes59.0ms (0.2%)

regimes121.0ms (0.5%)

regimes31.0ms (0.1%)

simplify11.0ms (0%)

soundness389.0ms (1.6%)

end0.0ms (0%)

preprocess50.0ms (0.2%)

Profiling