Metrics for HairBSDF, Mp, lower

analyze546.0ms (3.9%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample2.8s (20.1%)

Results

2.8s	8256×	body	256	valid
31.0ms	135×	body	256	invalid

Bogosity

preprocess337.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Problems

89×	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
88×	No Errors
71×	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
7×	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
1×	`(log.f32 (/.f32 1 (*.f32 2 v)))`

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 169 to 80 computations (52.7% saved)

eval2.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.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))
▶	99.2%	(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)))))
▶	99.3%	(.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))
▶	99.2%	(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)

localize337.0ms (2.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.5%	(.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))
✓	99.4%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.3%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	99.6%	(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))
✓	99.3%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.3%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))

Compiler

Compiled 218 to 89 computations (59.2% saved)

series86.0ms (0.6%)

Counts

8 → 336

Calls

84 calls:

Time	Variable		Point	Expression
25.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
20.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
6.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
4.0ms	sinTheta_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))
1.0ms	sinTheta_i	@	0	(/.f32 sinTheta_i (/.f32 v sinTheta_O))

rewrite83.0ms (0.6%)

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 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(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 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 sinTheta_O v) sinTheta_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 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 (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 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 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 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 (/.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)))))))

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-neg`
628×	`unswap-sqr`
536×	`times-frac`
502×	`fma-def`
486×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	21994
1	1229	20438
2	5047	20174

Stop Event

1×	node limit

Counts

462 → 284

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 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)))
(+.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_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) (.f32 -1 (.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
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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 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(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_O sinTheta_i) 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 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 cosTheta_O (/.f32 v (*.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))))))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(+.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v))))) (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v))))))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (fma.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_O) (/.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_i cosTheta_i)))) (/.f32 cosTheta_O (/.f32 v (*.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)))))))))
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(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i 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_O (/.f32 sinTheta_i v) (/.f32 1 v))))

eval197.0ms (1.4%)

Compiler: Compiled 11302 to 6565 computations (41.9% saved)

prune79.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	272	12	284
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	274	12	286

Accuracy

99.8%

Counts

286 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	98.5%	(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
▶	99.3%	(.f32 (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) (/.f32 1/2 v))
	99.2%	(.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)))))
	99.3%	(.f32 (.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 1/2 v))
▶	99.3%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
	98.5%	(.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)))
	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
▶	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	98.5%	(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
▶	99.3%	(.f32 (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) (/.f32 1/2 v))
	99.2%	(.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)))))
	99.3%	(.f32 (.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 1/2 v))
▶	99.3%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
	98.5%	(.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)))
	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
▶	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))

Compiler

Compiled 1276 to 920 computations (27.9% saved)

localize610.0ms (4.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.6%	(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))))))
✓	99.5%	(.f32 (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) (/.f32 1/2 v))
✓	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.7%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.6%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	99.6%	(log.f32 (/.f32 1/2 v))
✓	79.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.5%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
✓	79.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.1%	(/.f32 (exp.f32 6931/10000) v)
✓	99.8%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	79.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Compiler

Compiled 390 to 187 computations (52.1% saved)

series37.0ms (0.3%)

Counts

16 → 324

Calls

150 calls:

Time	Variable		Expression
3.0ms	cosTheta_O	@	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
2.0ms	v	@	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
1.0ms	cosTheta_i	@	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
1.0ms	cosTheta_i	@	(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))))))
1.0ms	sinTheta_i	@	(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))))))

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`add-sqr-sqrt`
866×	`pow1`
864×	`*-un-lft-identity`
828×	`add-exp-log`
826×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	464
1	921	464

Stop Event

1×	node limit

Counts

16 → 169

Calls

Call 1

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

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

simplify183.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-r`
1224×	`associate-l`
1176×	`fma-def`
842×	`times-frac`
544×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	715	26369
1	2145	23733

Stop Event

1×	node limit

Counts

493 → 379

Calls

Call 1

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

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

eval350.0ms (2.5%)

Compiler: Compiled 19729 to 12600 computations (36.1% saved)

prune128.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	521	9	530
Fresh	3	4	7
Picked	4	1	5
Done	0	0	0
Total	528	14	542

Accuracy

99.8%

Counts

542 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (.f32 (sqrt.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 (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) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) 2) (/.f32 1/2 v))
	99.0%	(.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v))) 3/2)) 2) (/.f32 1/2 v))
	99.2%	(.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)))))
	92.3%	(.f32 (/.f32 (exp.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000)) (exp.f32 (/.f32 1 v))) (/.f32 1/2 v))
▶	98.5%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	99.3%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
▶	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (.f32 (sqrt.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 (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) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) 2) (/.f32 1/2 v))
	99.0%	(.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v))) 3/2)) 2) (/.f32 1/2 v))
	99.2%	(.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)))))
	92.3%	(.f32 (/.f32 (exp.f32 (+.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000)) (exp.f32 (/.f32 1 v))) (/.f32 1/2 v))
▶	98.5%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	99.3%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
▶	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

Compiler

Compiled 1538 to 1104 computations (28.2% saved)

localize626.0ms (4.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.5%	(.f32 (pow.f32 (.f32 (sqrt.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 (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) (/.f32 1/2 v))
	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.1%	(sqrt.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)))))))
	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.6%	(sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
✓	99.5%	(.f32 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) 2) (/.f32 1/2 v))
	79.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.7%	(exp.f32 (/.f32 -1 v))
✓	98.9%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
✓	98.7%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
✓	98.9%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
✓	100.0%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
✓	99.9%	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
✓	99.8%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))

Compiler

Compiled 439 to 237 computations (46% saved)

series259.0ms (1.9%)

Counts

12 → 243

Calls

72 calls:

Time	Variable		Point	Expression
56.0ms	sinTheta_i	@	inf	(sqrt.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)))))))
33.0ms	sinTheta_O	@	-inf	(sqrt.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)))))))
31.0ms	cosTheta_i	@	inf	(sqrt.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)))))))
22.0ms	cosTheta_O	@	-inf	(sqrt.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)))))))
20.0ms	cosTheta_i	@	-inf	(sqrt.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)))))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`add-sqr-sqrt`
896×	`pow1`
890×	`*-un-lft-identity`
852×	`add-exp-log`
852×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	372
1	1006	372

Stop Event

1×	node limit

Counts

12 → 100

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

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

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-r`
1258×	`fma-def`
1228×	`associate-l`
810×	`times-frac`
472×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	21921
1	2280	19837

Stop Event

1×	node limit

Counts

343 → 338

Calls

Call 1

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

Outputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1/2 v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1/2 v))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1/2 v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 1/2 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 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (*.f32 (/.f32 -1/2 v) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.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 1/2 (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) -1/12 (fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (*.f32 (/.f32 -1/2 v) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.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 1/2 (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(fma.f32 (/.f32 (exp.f32 6931/10000) (.f32 v v)) -1/2 (fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) -1/12 (fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (/.f32 (.f32 1/4 (exp.f32 6931/10000)) (pow.f32 v 3)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
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(exp.f32 6931/40000)
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(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(.f32 (sqrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(pow.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))) 1)
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))) 1/2)
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(log.f32 (exp.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))) (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))))
(cbrt.f32 (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(exp.f32 (log.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(/.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))) 1/2) v)
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))) 1)
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(log.f32 (exp.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(cbrt.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) 3))
(expm1.f32 (log1p.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(exp.f32 (log.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))

eval438.0ms (3.1%)

Compiler: Compiled 24828 to 15949 computations (35.8% saved)

prune158.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	491	7	498
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	497	15	512

Accuracy

99.9%

Counts

512 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	99.2%	(.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 1/4) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (sqrt.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) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))) (sqrt.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) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) 2) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (.f32 (sqrt.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))))))) (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) 2) (/.f32 1/2 v))
	99.2%	(.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)))))
✓	98.5%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	99.3%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
✓	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v))
▶	97.1%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
✓	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.6%	(*.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
▶	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	99.2%	(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)
	99.3%	(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (-.f32 -6931/10000 (/.f32 -1 v)))))
	99.2%	(.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 1/4) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (sqrt.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) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 6931/10000 (/.f32 -1 v)))))))) (sqrt.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) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) 2) (/.f32 1/2 v))
▶	99.3%	(.f32 (pow.f32 (.f32 (sqrt.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))))))) (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) 2) (/.f32 1/2 v))
	99.2%	(.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)))))
✓	98.5%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	99.3%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
✓	4.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
▶	99.7%	(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v))
▶	97.1%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
✓	4.8%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.6%	(*.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
▶	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

Compiler

Compiled 1776 to 1256 computations (29.3% saved)

localize4.3s (31%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.7%	(exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (+.f32 6931/10000 (/.f32 -1 v)))))
	99.6%	(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))))))
	99.1%	(sqrt.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)))))))
	97.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.8%	(-.f32 6931/10000 (/.f32 1 v))
	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	99.7%	(exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
✓	77.3%	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
	100.0%	(log.f32 (/.f32 1/2 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))
✓	99.6%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	100.0%	(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
✓	99.9%	(/.f32 (exp.f32 (/.f32 -1 v)) v)
	99.7%	(exp.f32 (/.f32 -1 v))
✓	100.0%	(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v))
✓	100.0%	(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))
✓	99.9%	(/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v)
✓	99.7%	(exp.f32 (/.f32 1 v))

Compiler

Compiled 460 to 272 computations (40.9% saved)

series40.0ms (0.3%)

Counts

12 → 172

Calls

48 calls:

Time	Variable		Point	Expression
15.0ms	v	@	0	(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))
6.0ms	v	@	inf	(log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
1.0ms	v	@	0	(/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v)
0.0ms	v	@	inf	(/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v)

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`add-sqr-sqrt`
822×	`pow1`
820×	`*-un-lft-identity`
784×	`add-exp-log`
780×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	298
1	870	294

Stop Event

1×	node limit

Counts

12 → 177

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 1 v)))
(.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) (cbrt.f32 (exp.f32 (/.f32 1 v)))) (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)
(log.f32 (exp.f32 (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 1 v)))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 2) (exp.f32 (/.f32 1 v))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 1 v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 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 (.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)
(pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) -1)
(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 (*.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 2) (/.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 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 1)
(*.f32 1 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (/.f32 1 v))))
(.f32 (.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)))))
(pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)
(pow.f32 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 6931/10000)) -1)
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (*.f32 (-.f32 6931/10000 (/.f32 1 v)) 1))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) 1)
(log.f32 (exp.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) 2) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(exp.f32 (+.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) (log.f32 1/2)))
(exp.f32 (*.f32 (+.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) (log.f32 1/2)) 1))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 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 (.f32 (cbrt.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v)) (cbrt.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v))) (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)))
(pow.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) 1)
(pow.f32 (/.f32 v (exp.f32 (/.f32 -1 v))) -1)
(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 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) 2) (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(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 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v))) v)
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)) 1)
(log.f32 (exp.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)) 2) (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(exp.f32 (+.f32 (-.f32 (/.f32 -1 v) (log.f32 v)) (log.f32 1/2)))
(exp.f32 (*.f32 (+.f32 (-.f32 (/.f32 -1 v) (log.f32 v)) (log.f32 1/2)) 1))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 1)
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 2) (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 1 v))) (sqrt.f32 (/.f32 1 v)) (/.f32 1 v)))
(+.f32 0 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))) (log.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(+.f32 (fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (.f32 (/.f32 1 v) 1))) (fma.f32 (neg.f32 (/.f32 1 v)) 1 (.f32 (/.f32 1 v) 1)))
(+.f32 (fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(+.f32 (fma.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (.f32 (/.f32 1 v) 1))) (fma.f32 (neg.f32 (/.f32 1 v)) 1 (*.f32 (/.f32 1 v) 1)))
(+.f32 (fma.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (.f32 (/.f32 1 v) 1))) (fma.f32 (neg.f32 (/.f32 1 v)) 1 (.f32 (/.f32 1 v) 1)))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (.f32 (cbrt.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))) (.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1 v))))))
(*.f32 1 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (/.f32 1 v) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(pow.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) 1)
(log.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) 2) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (/.f32 1 v)))
(fma.f32 (*.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (/.f32 1 v)))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (/.f32 1 v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)
(*.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)
(log.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) 6931/10000)
(fma.f32 (*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) (cbrt.f32 (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(+.f32 (-.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v)))
(+.f32 0 (-.f32 (-.f32 6931/10000 (/.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 (*.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)))) (log.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(-.f32 6931/10000 (log.f32 (*.f32 v (exp.f32 (/.f32 1 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 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))) 1)
(*.f32 1 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
(.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))) (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(*.f32 (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(pow.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) 1)
(neg.f32 (log.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(expm1.f32 (log1p.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(exp.f32 (log.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(exp.f32 (*.f32 (log.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) 1))
(log1p.f32 (expm1.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(fma.f32 1 (-.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v)))
(fma.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))) (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 (.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)))
(/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (neg.f32 v))
(pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)
(pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) -1)
(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 (*.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 2) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))) 1)
(.f32 1 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))) (cbrt.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))) (sqrt.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(/.f32 (exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))
(pow.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))) 1)
(log.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))) 2) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))

simplify178.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-neg`
700×	`fma-def`
564×	`associate-r`
512×	`+-commutative`
488×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	630	14791
1	1593	13289
2	6225	13189

Stop Event

1×	node limit

Counts

349 → 366

Calls

Call 1

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

Outputs
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))))
(+.f32 1 (fma.f32 1/2 (pow.f32 v -2) (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/2 (*.f32 v v))) (/.f32 1 v)))
(+.f32 (fma.f32 1/2 (pow.f32 v -2) (/.f32 1 v)) (+.f32 1 (/.f32 1/6 (pow.f32 v 3))))
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/2 (*.f32 v v))))
(+.f32 1 (fma.f32 1/2 (pow.f32 v -2) (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (/.f32 1/2 (*.f32 v v))) (/.f32 1 v)))
(+.f32 (fma.f32 1/2 (pow.f32 v -2) (/.f32 1 v)) (+.f32 1 (/.f32 1/6 (pow.f32 v 3))))
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 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))
(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 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (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 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (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 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000)))) (+.f32 (.f32 -1/2 (exp.f32 6931/10000)) (.f32 1/6 (exp.f32 6931/10000)))) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3)) (fma.f32 -1 (/.f32 (fma.f32 -1 (.f32 (exp.f32 6931/10000) -1/2) (.f32 (exp.f32 6931/10000) -1/3)) (pow.f32 v 4)) (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (-.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 (neg.f32 (fma.f32 (exp.f32 6931/10000) -1/3 (.f32 1/2 (exp.f32 6931/10000)))) (pow.f32 v 4)))
(/.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 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (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 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (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 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (pow.f32 v 3)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)))))))
(-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) -1/6 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) (*.f32 v v)))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (.f32 -1 (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (*.f32 v v)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 2))) (.f32 -1 (/.f32 (+.f32 (.f32 -1 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000)))) (+.f32 (.f32 -1/2 (exp.f32 6931/10000)) (.f32 1/6 (exp.f32 6931/10000)))) (pow.f32 v 3))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (.f32 -1 (+.f32 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (.f32 v v)) (/.f32 (fma.f32 -1 (.f32 (exp.f32 6931/10000) -1/2) (*.f32 (exp.f32 6931/10000) -1/3)) (pow.f32 v 3))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (-.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))) (/.f32 (fma.f32 (exp.f32 6931/10000) -1/3 (*.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 3))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (.f32 -1 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (.f32 -1 (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (*.f32 v v)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1 (exp.f32 6931/10000)) (.f32 1/2 (exp.f32 6931/10000))) (pow.f32 v 2))) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (fma.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) -1/2) (.f32 v v)) (*.f32 5/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (-.f32 (fma.f32 5/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (-.f32 (fma.f32 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) 5/6 (.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (.f32 v v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (*.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 v)))
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(-.f32 (log.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (log.f32 (neg.f32 v)))
(-.f32 (+.f32 (log.f32 -1) (-.f32 6931/10000 (/.f32 1 v))) (log.f32 (neg.f32 v)))
(-.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 -1)) (log.f32 (neg.f32 v)))
(-.f32 (exp.f32 (log1p.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))) 1)
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(*.f32 1 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))) (cbrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(*.f32 (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) (sqrt.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(pow.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) 1)
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(neg.f32 (log.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)) 2) (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(expm1.f32 (log1p.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(exp.f32 (log.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(exp.f32 (*.f32 (log.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))) 1))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(log1p.f32 (expm1.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(fma.f32 1 (-.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v)))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(fma.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))) (neg.f32 (log.f32 v)))
(+.f32 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 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 6931/10000 (-.f32 (neg.f32 (log.f32 v)) (/.f32 1 v)))
(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 -1 v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) 1)
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(*.f32 1 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1 v))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 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 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.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 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (neg.f32 v))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 1)
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) -1)
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(log.f32 (exp.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.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))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 2) (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 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)))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.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 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))) 1)
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(.f32 1 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))) (cbrt.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))) (sqrt.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(/.f32 (exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(pow.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))) 1)
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(log.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v)))) 2) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000) (/.f32 -1 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 -1 v)))
(exp.f32 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) -6931/10000)) (/.f32 1 v)))

eval444.0ms (3.2%)

Compiler: Compiled 24653 to 16846 computations (31.7% saved)

prune176.0ms (1.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	599	11	610
Fresh	5	2	7
Picked	2	3	5
Done	2	1	3
Total	608	17	625

Accuracy

99.9%

Counts

625 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(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)
	4.8%	(/.f32 1/2 v)
	99.2%	(.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 1/4) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) 2) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))) 2) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (.f32 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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))))))))) (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) 2) (/.f32 1/2 v))
	99.3%	(.f32 (pow.f32 (.f32 (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (exp.f32 (.f32 1/4 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) 2) (/.f32 1/2 v))
	96.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
✓	98.5%	(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
	99.2%	(.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
✓	99.7%	(*.f32 1/2 (/.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) v))
	99.7%	(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
	97.2%	(*.f32 1/2 (exp.f32 (-.f32 (/.f32 -1 v) (log.f32 v))))
	99.6%	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
✓	99.6%	(*.f32 1/2 (exp.f32 (log.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
	96.9%	(exp.f32 (/.f32 -1 v))
✓	99.2%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

Compiler

Compiled 1511 to 990 computations (34.5% saved)

regimes175.0ms (1.3%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

9 calls:

26.0ms	cosTheta_i
20.0ms	sinTheta_O
20.0ms	v
20.0ms	sinTheta_i
20.0ms	cosTheta_O

Results

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

Compiler

Compiled 1162 to 721 computations (38% saved)

regimes50.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	sinTheta_i
10.0ms	cosTheta_O
9.0ms	sinTheta_O
9.0ms	cosTheta_i
9.0ms	v

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 197 to 149 computations (24.4% saved)

regimes34.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 100 to 81 computations (19% saved)

regimes29.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_i
5.0ms	cosTheta_i
5.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.1%	1	`cosTheta_i`
97.1%	1	`cosTheta_O`
97.1%	1	`sinTheta_i`
97.1%	1	`sinTheta_O`
97.1%	1	`v`

Compiler

Compiled 70 to 57 computations (18.6% saved)

regimes23.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	sinTheta_O
5.0ms	cosTheta_i
4.0ms	sinTheta_i
4.0ms	cosTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
96.9%	1	`cosTheta_i`
96.9%	1	`cosTheta_O`
96.9%	1	`sinTheta_i`
96.9%	1	`sinTheta_O`
96.9%	1	`v`

Compiler

Compiled 54 to 45 computations (16.7% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)

Outputs
(/.f32 1/2 v)

Calls

5 calls:

3.0ms	cosTheta_i
3.0ms	sinTheta_i
3.0ms	v
3.0ms	sinTheta_O
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
4.8%	1	`cosTheta_i`
4.8%	1	`cosTheta_O`
4.8%	1	`sinTheta_i`
4.8%	1	`sinTheta_O`
4.8%	1	`v`

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify7.0ms (0.1%)

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	26	138
1	34	138
2	39	138
3	43	138
4	48	138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 78 to 68 computations (12.8% saved)

soundness452.0ms (3.2%)

Rules

912×	`add-sqr-sqrt`
912×	`add-sqr-sqrt`
896×	`pow1`
896×	`pow1`
890×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	1205
1	461	1129
2	1373	1037
3	6228	1037
0	45	372
1	1006	372
0	162	1205
1	461	1129
2	1373	1037
3	6228	1037
0	45	372
1	1006	372
0	40	298
1	870	294

Stop Event

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

Compiler

Compiled 172 to 133 computations (22.7% saved)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 230 to 186 computations (19.1% saved)

analyze546.0ms (3.9%)

sample2.8s (20.1%)

preprocess337.0ms (2.4%)

eval2.0ms (0%)

prune3.0ms (0%)

localize337.0ms (2.4%)

series86.0ms (0.6%)

rewrite83.0ms (0.6%)

simplify222.0ms (1.6%)

eval197.0ms (1.4%)

prune79.0ms (0.6%)

localize610.0ms (4.4%)

series37.0ms (0.3%)

rewrite111.0ms (0.8%)

simplify183.0ms (1.3%)

eval350.0ms (2.5%)

prune128.0ms (0.9%)

localize626.0ms (4.5%)

series259.0ms (1.9%)

rewrite93.0ms (0.7%)

simplify161.0ms (1.2%)

eval438.0ms (3.1%)

prune158.0ms (1.1%)

localize4.3s (31%)

series40.0ms (0.3%)

rewrite107.0ms (0.8%)

simplify178.0ms (1.3%)

eval444.0ms (3.2%)

prune176.0ms (1.3%)

regimes175.0ms (1.3%)

regimes50.0ms (0.4%)

regimes34.0ms (0.2%)

regimes29.0ms (0.2%)

regimes23.0ms (0.2%)

regimes15.0ms (0.1%)

simplify7.0ms (0.1%)

soundness452.0ms (3.2%)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Profiling