Metrics for HairBSDF, Mp, lower

analyze560.0ms (3.1%)

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)

sample3.5s (19.8%)

Results

3.4s	8256×	body	256	valid
70.0ms	132×	body	256	invalid

Bogosity

preprocess375.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-*l/`
934×	`*-commutative`
884×	`associate-+l+`
826×	`associate-+l-`
762×	`associate-/r*`

Problems

86×	No Errors
82×	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
82×	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
6×	`(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)))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	485	2026
2	1402	1870
3	6428	1870

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 169 to 80 computations (52.7% saved)

eval1.0ms (0%)

Compiler: Compiled 71 to 47 computations (33.8% saved)

prune5.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize356.0ms (2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.8%	(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
✓	99.7%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.3%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	99.2%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.9%	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.4%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))

Compiler

Compiled 218 to 89 computations (59.2% saved)

series62.0ms (0.3%)

Counts

8 → 384

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	cosTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
5.0ms	v	@	-inf	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
4.0ms	cosTheta_i	@	0	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
3.0ms	v	@	-inf	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
2.0ms	v	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

rewrite250.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`associate-r`
324×	`frac-times`
298×	`associate-l`
288×	`add-exp-log`
279×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	393
1	673	357

Stop Event

1×	node limit

Counts

8 → 300

Calls

Call 1

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

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

simplify363.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-r`
1014×	`associate-l`
1012×	`*-commutative`
1000×	`associate-/l*`
816×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	922	46724
1	2685	45674

Stop Event

1×	node limit

Counts

684 → 555

Calls

Call 1

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

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

eval341.0ms (1.9%)

Compiler: Compiled 19926 to 10846 computations (45.6% saved)

prune191.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	543	12	555
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	545	12	557

Accuracy

99.8%

Counts

557 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.6%	(.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v))) 2)) (cbrt.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) 6931/10000)) (log.f32 1/2)) (log.f32 v)))
▶	99.7%	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v)))
	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	14.2%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	4.6%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.6%	(.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v))) 2)) (cbrt.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) 6931/10000)) (log.f32 1/2)) (log.f32 v)))
▶	99.7%	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v)))
	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	14.2%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 1280 to 916 computations (28.4% saved)

localize629.0ms (3.5%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))
✓	99.7%	(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v)))
✓	87.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	99.9%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.7%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	74.9%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.7%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	75.7%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	98.8%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	100.0%	(.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))))
✓	99.9%	(+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))
✓	99.7%	(exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))
✓	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))

Compiler

Compiled 380 to 173 computations (54.5% saved)

series53.0ms (0.3%)

Counts

15 → 473

Calls

159 calls:

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

rewrite174.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`associate-r`
366×	`associate-l`
326×	`*-un-lft-identity`
318×	`add-cbrt-cube`
307×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	795	575

Stop Event

1×	node limit

Counts

15 → 448

Calls

Call 1

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

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

simplify426.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-/l*`
1028×	`associate-/r*`
932×	`associate-*r/`
810×	`+-commutative`
772×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1215	62367
1	3374	60697

Stop Event

1×	node limit

Counts

921 → 783

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

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

eval706.0ms (4%)

Compiler: Compiled 36199 to 20672 computations (42.9% saved)

prune388.0ms (2.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	957	12	969
Fresh	1	6	7
Picked	5	0	5
Done	0	0	0
Total	963	18	981

Accuracy

99.8%

Counts

981 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.9%	(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v)))))))
▶	99.7%	(/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))))
▶	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v) 6931/10000)))
▶	16.4%	(*.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1)
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.6%	(.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v))) 2)) (cbrt.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
	99.7%	(exp.f32 (-.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) 6931/10000)) (log.f32 1/2)) (log.f32 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	16.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	14.2%	(exp.f32 (.f32 -1 (.f32 (/.f32 1 v) (*.f32 sinTheta_O sinTheta_i))))
	16.4%	(exp.f32 (.f32 -1 (.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 -1 v))))
	14.2%	(exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	6.5%	1
	84.9%	(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v)))))))
▶	99.7%	(/.f32 1 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))))
▶	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
▶	99.7%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v) 6931/10000)))
▶	16.4%	(*.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1)
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.6%	(.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v))) 2)) (cbrt.f32 (exp.f32 (+.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)))))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	97.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
	99.7%	(exp.f32 (-.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))
	99.6%	(exp.f32 (-.f32 (+.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) 6931/10000)) (log.f32 1/2)) (log.f32 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	16.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	14.2%	(exp.f32 (.f32 -1 (.f32 (/.f32 1 v) (*.f32 sinTheta_O sinTheta_i))))
	16.4%	(exp.f32 (.f32 -1 (.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 -1 v))))
	14.2%	(exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	6.5%	1

Compiler

Compiled 1596 to 1172 computations (26.6% saved)

localize708.0ms (4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
✓	99.7%	(exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))))
✓	99.7%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))
✓	88.1%	(/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)
✓	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	99.9%	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v) 6931/10000)
✓	99.7%	(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v) 6931/10000))
✓	99.8%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
✓	99.3%	(/.f32 sinTheta_O (/.f32 v sinTheta_i))
✓	100.0%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	99.4%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
	99.9%	(+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))
✓	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
	99.7%	(exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))
	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))

Compiler

Compiled 395 to 182 computations (53.9% saved)

series46.0ms (0.3%)

Counts

12 → 428

Calls

123 calls:

Time	Variable		Point	Expression
8.0ms	v	@	inf	(/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)
3.0ms	sinTheta_i	@	-inf	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))
2.0ms	v	@	inf	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1.0ms	cosTheta_i	@	inf	(-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
1.0ms	cosTheta_i	@	0	(exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))))

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`associate-r`
325×	`pow1`
303×	`add-exp-log`
302×	`add-log-exp`
291×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	442
1	680	442

Stop Event

1×	node limit

Counts

12 → 358

Calls

Call 1

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

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

simplify464.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1226×	`associate-l`
1182×	`associate-r`
882×	`*-commutative`
868×	`associate-/l*`
608×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	45080
1	2753	44916

Stop Event

1×	node limit

Counts

786 → 652

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

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

eval501.0ms (2.8%)

Compiler: Compiled 26079 to 15465 computations (40.7% saved)

prune246.0ms (1.4%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	825	13	838
Fresh	5	8	13
Picked	3	2	5
Done	0	0	0
Total	833	23	856

Accuracy

99.9%

Counts

856 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f32 1 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v))))))) 2))
	99.6%	(/.f32 1 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (sqrt.f32 (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
	99.7%	(/.f32 1 (pow.f32 (E.f32) (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	84.9%	(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v)))))))
	14.6%	(/.f32 1 (exp.f32 (neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
	98.2%	(.f32 (/.f32 1/2 v) (+.f32 (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 1/3) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)))
	99.7%	(.f32 (/.f32 1/2 v) (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (exp.f32 6931/10000)))
▶	99.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	6.2%	(.f32 (+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 1) 1)
✓	16.4%	(*.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1)
▶	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	19.0%	(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
▶	19.0%	(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
	38.1%	(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.7%	(exp.f32 (-.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	16.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	14.2%	(exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	6.5%	1
	99.7%	(/.f32 1 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 (/.f32 1 v) (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v))))))) 2))
	99.6%	(/.f32 1 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (sqrt.f32 (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
	99.7%	(/.f32 1 (pow.f32 (E.f32) (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	84.9%	(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 1/2 v)))))))
	14.6%	(/.f32 1 (exp.f32 (neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
	98.2%	(.f32 (/.f32 1/2 v) (+.f32 (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 1/3) (/.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)))
	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)))
	99.7%	(.f32 (/.f32 1/2 v) (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (exp.f32 6931/10000)))
▶	99.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	6.2%	(.f32 (+.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 1) 1)
✓	16.4%	(*.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1)
▶	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	19.0%	(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
▶	19.0%	(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
	38.1%	(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.7%	(exp.f32 (-.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	16.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	14.2%	(exp.f32 (.f32 -1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	6.5%	1

Compiler

Compiled 1906 to 1426 computations (25.2% saved)

localize471.0ms (2.6%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	99.7%	(exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)))
	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	90.4%	(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	99.9%	(-.f32 6931/10000 (/.f32 1 v))
	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	99.8%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.4%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	99.4%	(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
✓	99.9%	(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
✓	99.7%	(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))

Compiler

Compiled 221 to 115 computations (48% saved)

series70.0ms (0.4%)

Counts

8 → 231

Calls

60 calls:

Time	Variable		Point	Expression
22.0ms	v	@	-inf	(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
15.0ms	v	@	0	(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
9.0ms	v	@	inf	(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
5.0ms	sinTheta_i	@	0	(exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)))
3.0ms	v	@	-inf	(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`associate-r`
313×	`pow1`
302×	`*-un-lft-identity`
298×	`associate-l`
293×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	227
1	688	219

Stop Event

1×	node limit

Counts

8 → 204

Calls

Call 1

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

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

simplify228.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1020×	`associate-+r+`
822×	`+-commutative`
810×	`associate-+l+`
750×	`associate-r`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	628	19757
1	1630	18017
2	6944	18017

Stop Event

1×	node limit

Counts

435 → 362

Calls

Call 1

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

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

eval327.0ms (1.8%)

Compiler: Compiled 10988 to 6862 computations (37.6% saved)

prune305.0ms (1.7%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	486	19	505
Fresh	10	6	16
Picked	3	2	5
Done	1	1	2
Total	500	28	528

Accuracy

99.9%

Counts

528 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
	18.8%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
	18.8%	(/.f32 sinTheta_O (/.f32 v sinTheta_i))
	99.7%	(/.f32 1 (pow.f32 (E.f32) (-.f32 (/.f32 1 v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	39.0%	(/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
✓	6.2%	(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.2%	(+.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
	99.7%	(*.f32 (pow.f32 (E.f32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i -1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	18.8%	(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
	19.0%	(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
	18.8%	(*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i)
	37.9%	(.f32 (/.f32 1 v) (.f32 sinTheta_O sinTheta_i))
	98.2%	(.f32 (/.f32 1/2 v) (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)) 1/3))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
	99.7%	(.f32 (/.f32 1/2 v) (+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v)))
	99.7%	(.f32 (/.f32 1/2 v) (.f32 (exp.f32 6931/10000) (/.f32 1 (exp.f32 (/.f32 1 v)))))
	99.7%	(.f32 (/.f32 1/2 v) (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))))
	97.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
✓	99.7%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (pow.f32 (E.f32) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (/.f32 (-.f32 -332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (-.f32 -48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000))))))
	99.7%	(.f32 (exp.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) 1) v))) (exp.f32 (-.f32 (log.f32 1/2) (-.f32 (log.f32 v) 6931/10000))))
	99.6%	(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v)) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) 1) v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	16.4%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
	99.7%	(exp.f32 (-.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))
	14.2%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
✓	16.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.5%	1

Compiler

Compiled 1462 to 948 computations (35.2% saved)

regimes222.0ms (1.2%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

9 calls:

28.0ms	cosTheta_O
28.0ms	sinTheta_O
28.0ms	sinTheta_i
27.0ms	cosTheta_i
22.0ms	(*.f32 sinTheta_i 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`
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 1057 to 635 computations (39.9% saved)

regimes201.0ms (1.1%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

9 calls:

26.0ms	sinTheta_i
25.0ms	sinTheta_O
25.0ms	cosTheta_i
24.0ms	cosTheta_O
22.0ms	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`
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 795 to 478 computations (39.9% saved)

regimes78.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	cosTheta_i
14.0ms	sinTheta_O
14.0ms	v
14.0ms	sinTheta_i
14.0ms	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`

Compiler

Compiled 221 to 116 computations (47.5% saved)

regimes73.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	sinTheta_i
14.0ms	sinTheta_O
14.0ms	v
14.0ms	cosTheta_i
13.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
97.8%	1	`cosTheta_O`
97.8%	1	`sinTheta_i`
97.8%	1	`cosTheta_i`
97.8%	1	`sinTheta_O`
97.8%	1	`v`

Compiler

Compiled 211 to 108 computations (48.8% saved)

regimes110.0ms (0.6%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	sinTheta_O
25.0ms	sinTheta_i
13.0ms	cosTheta_i
12.0ms	v
11.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
45.3%	2	`sinTheta_i`
39.0%	1	`cosTheta_i`
39.0%	1	`cosTheta_O`
51.1%	3	`sinTheta_O`
39.0%	1	`v`

Compiler

Compiled 174 to 84 computations (51.7% saved)

regimes33.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

sinTheta_O

Results

Accuracy	Segments	Branch
46.0%	2	`sinTheta_O`

Compiler

Compiled 119 to 55 computations (53.8% saved)

regimes35.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

sinTheta_O

Results

Accuracy	Segments	Branch
46.0%	2	`sinTheta_O`

Compiler

Compiled 107 to 49 computations (54.2% saved)

regimes31.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	sinTheta_O
10.0ms	cosTheta_i
8.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
39.0%	1	`cosTheta_i`
39.0%	1	`sinTheta_i`
39.0%	1	`sinTheta_O`

Compiler

Compiled 113 to 58 computations (48.7% saved)

regimes46.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	cosTheta_i
8.0ms	v
8.0ms	sinTheta_i
8.0ms	cosTheta_O
8.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
38.1%	1	`v`
38.1%	1	`cosTheta_O`
38.1%	1	`sinTheta_i`
38.1%	1	`sinTheta_O`
38.1%	1	`cosTheta_i`

Compiler

Compiled 109 to 61 computations (44% saved)

regimes32.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.9%	1	`cosTheta_O`
37.9%	1	`v`
37.9%	1	`sinTheta_O`
37.9%	1	`sinTheta_i`
37.9%	1	`cosTheta_i`

Compiler

Compiled 74 to 47 computations (36.5% saved)

regimes22.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
18.8%	1	`v`
18.8%	1	`cosTheta_O`
18.8%	1	`sinTheta_i`
18.8%	1	`sinTheta_O`
18.8%	1	`cosTheta_i`

Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes120.0ms (0.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

106.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	v
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
18.8%	1	`sinTheta_O`
18.8%	1	`v`
18.8%	1	`sinTheta_i`
18.8%	1	`cosTheta_O`
18.8%	1	`cosTheta_i`

Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`cosTheta_O`
6.5%	1	`v`
6.5%	1	`sinTheta_i`
6.5%	1	`sinTheta_O`
6.5%	1	`cosTheta_i`

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.888441946159991e-14	3.486700132174919e-13
0.0ms	-4.044977377107554e-23	-3.433278222892353e-23

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.888441946159991e-14	3.486700132174919e-13

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.888441946159991e-14	3.486700132174919e-13

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
18×	`+-commutative`
16×	`neg-sub0`
14×	`sub-neg`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	548
1	86	548
2	101	548
3	120	548
4	132	548
5	136	548
6	137	548

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f32 (pow.f32 (E.f32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i -1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(if (<=.f32 sinTheta_O -6338253/158456325028528675187087900672) (exp.f32 (.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))) (if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (.f32 sinTheta_O sinTheta_i))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (.f32 sinTheta_O sinTheta_i))) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
1

Outputs
(*.f32 (pow.f32 (E.f32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i -1) v))) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(if (<=.f32 sinTheta_O -6338253/158456325028528675187087900672) (exp.f32 (.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))) (if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (.f32 sinTheta_O sinTheta_i))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(if (<=.f32 sinTheta_O 14757395/295147905179352825856) (/.f32 1 (/.f32 v (.f32 sinTheta_O sinTheta_i))) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
1

Compiler

Compiled 206 to 153 computations (25.7% saved)

soundness4.5s (25.1%)

Rules

1578×	`associate-*l/`
1578×	`associate-*l/`
1226×	`associate-l`
1226×	`associate-l`
1186×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	485	2026
2	1402	1870
3	6428	1870
0	39	393
1	673	357
0	43	227
1	688	219
0	1215	62367
1	3374	60697
0	1001	45080
1	2753	44916
0	43	227
1	688	219
0	628	19757
1	1630	18017
2	6944	18017
0	43	227
1	688	219
0	43	227
1	688	219
0	43	227
1	688	219
0	48	662
1	795	575
0	1215	62367
1	3374	60697
0	41	442
1	680	442
0	922	46724
1	2685	45674
0	173	2130
1	485	2026
2	1402	1870
3	6428	1870
0	48	662
1	795	575
0	41	442
1	680	442
0	1001	45080
1	2753	44916
0	628	19757
1	1630	18017
2	6944	18017

Stop Event

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

Compiler

Compiled 1641 to 795 computations (51.6% saved)

end0.0ms (0%)

preprocess295.0ms (1.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1496 to 1034 computations (30.9% saved)

analyze560.0ms (3.1%)

sample3.5s (19.8%)

preprocess375.0ms (2.1%)

eval1.0ms (0%)

prune5.0ms (0%)

localize356.0ms (2%)

series62.0ms (0.3%)

rewrite250.0ms (1.4%)

simplify363.0ms (2%)

eval341.0ms (1.9%)

prune191.0ms (1.1%)

localize629.0ms (3.5%)

series53.0ms (0.3%)

rewrite174.0ms (1%)

simplify426.0ms (2.4%)

eval706.0ms (4%)

prune388.0ms (2.2%)

localize708.0ms (4%)

series46.0ms (0.3%)

rewrite147.0ms (0.8%)

simplify464.0ms (2.6%)

eval501.0ms (2.8%)

prune246.0ms (1.4%)

localize471.0ms (2.6%)

series70.0ms (0.4%)

rewrite97.0ms (0.5%)

simplify228.0ms (1.3%)

eval327.0ms (1.8%)

prune305.0ms (1.7%)

regimes222.0ms (1.2%)

regimes201.0ms (1.1%)

regimes78.0ms (0.4%)

regimes73.0ms (0.4%)

regimes110.0ms (0.6%)

regimes33.0ms (0.2%)

regimes35.0ms (0.2%)

regimes31.0ms (0.2%)

regimes46.0ms (0.3%)

regimes32.0ms (0.2%)

regimes22.0ms (0.1%)

regimes120.0ms (0.7%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness4.5s (25.1%)

end0.0ms (0%)

preprocess295.0ms (1.7%)

Profiling