Metrics for HairBSDF, Mp, upper

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 66 to 48 computations (27.3% saved)

sample3.8s (19.3%)

Results

3.8s

8256×

body

256

valid

Bogosity

preprocess337.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r*`
1144×	`associate-*r/`
1076×	`associate-*l/`
1036×	`associate-/r/`
776×	`div-sub`

Problems

205×	No Errors
40×	`(sinh.f32 (/.f32 1 v))`
6×	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
5×	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2026
1	532	1982
2	1902	1902
3	6878	1902

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 (neg.f32 v))) 2) (neg.f32 v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 (neg.f32 v))) 2) (neg.f32 v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v))) (/.f32 (.f32 sinTheta_O cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (.f32 v cosTheta_O) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_i)) 2) cosTheta_i))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_O)) 2) cosTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_i)) 2) sinTheta_i))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i v) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_O)) 2) sinTheta_O))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (sinh.f32 (reciprocal.f32 v))) (/.f32 (.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) 2) (sinh.f32 (reciprocal.f32 v))) v)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O)))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (sinh.f32 (reciprocal.f32 v))) (/.f32 (.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) 2) (sinh.f32 (reciprocal.f32 v))) v)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 cosTheta_O (.f32 v (/.f32 v cosTheta_i))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 cosTheta_i (.f32 v (/.f32 v cosTheta_O))) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 cosTheta_O (.f32 v (/.f32 v cosTheta_i))) (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 cosTheta_i (.f32 v (/.f32 v cosTheta_O))) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 (neg.f32 v))) 2) (neg.f32 v)))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))) (*.f32 2 (sinh.f32 (reciprocal.f32 (neg.f32 v))))) (/.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (neg.f32 v)))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (neg.f32 v))) (sinh.f32 (/.f32 -1 v))) (/.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (*.f32 -2 v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i))) (.f32 (.f32 2 (sinh.f32 (/.f32 -1 v))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 (/.f32 sinTheta_O (neg.f32 v))) sinTheta_i)) (.f32 (.f32 2 (sinh.f32 (/.f32 -1 v))) (.f32 v v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(/.f32 (neg.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O))))))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (neg.f32 (/.f32 cosTheta_O (.f32 v (/.f32 v cosTheta_i)))))
(.f32 (/.f32 (.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i) v) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) 2) (sinh.f32 (reciprocal.f32 v))))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v)))
(/.f32 (neg.f32 (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O))))))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (neg.f32 (/.f32 cosTheta_O (.f32 v (/.f32 v cosTheta_i)))))
(.f32 (/.f32 (.f32 (neg.f32 (/.f32 cosTheta_O v)) cosTheta_i) v) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) 2) (sinh.f32 (reciprocal.f32 v))))
(neg.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (.f32 (*.f32 (sinh.f32 (/.f32 1 (neg.f32 v))) 2) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)))) (.f32 (neg.f32 v) (.f32 2 (sinh.f32 (reciprocal.f32 (neg.f32 v))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (neg.f32 v)))) (/.f32 (sinh.f32 (/.f32 -1 v)) (/.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (.f32 -2 v))))
(/.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (exp.f32 (.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i))) (.f32 (.f32 2 (sinh.f32 (/.f32 -1 v))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (pow.f32 (exp.f32 (/.f32 sinTheta_O (neg.f32 v))) sinTheta_i)) (.f32 (.f32 2 (sinh.f32 (/.f32 -1 v))) (.f32 v v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v))) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) v)) (/.f32 (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (/.f32 sinTheta_i (/.f32 v cosTheta_O))))
(.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 cosTheta_i v) sinTheta_O))) (sinh.f32 (reciprocal.f32 v))) (/.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_O) (.f32 v 2)))
(/.f32 (.f32 (/.f32 (/.f32 sinTheta_i (exp.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i))) v) cosTheta_O) (.f32 v (.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(/.f32 (.f32 (/.f32 (/.f32 sinTheta_i (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) cosTheta_i)) v) cosTheta_O) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v))) (/.f32 (.f32 sinTheta_O cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_i cosTheta_i)) v)) (/.f32 (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (/.f32 sinTheta_O (/.f32 v cosTheta_O))))
(.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 sinTheta_i v) cosTheta_i))) (sinh.f32 (reciprocal.f32 v))) (/.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_O) (.f32 v 2)))
(/.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) cosTheta_i)) (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 (.f32 v 2) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (/.f32 (.f32 v cosTheta_O) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_i)) 2) cosTheta_i))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) cosTheta_i)) (*.f32 2 (sinh.f32 (reciprocal.f32 cosTheta_i)))) (/.f32 (/.f32 v (/.f32 cosTheta_i cosTheta_O)) cosTheta_i))
(.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 cosTheta_i (neg.f32 sinTheta_O)))) (.f32 2 (sinh.f32 (reciprocal.f32 cosTheta_i)))) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i)))) (.f32 2 (.f32 cosTheta_i (sinh.f32 (reciprocal.f32 cosTheta_i)))))
(/.f32 (/.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i))) (.f32 2 (*.f32 cosTheta_i (sinh.f32 (reciprocal.f32 cosTheta_i)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_O (/.f32 v cosTheta_O)))) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (/.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_i)) v))
(.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_O))) (.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (/.f32 cosTheta_i (.f32 v (/.f32 v sinTheta_i))))
(/.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) cosTheta_O))) (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 (.f32 v 2) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v))) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_i cosTheta_O)) v)) (/.f32 (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)) (/.f32 cosTheta_i (/.f32 v sinTheta_O))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) sinTheta_O) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (/.f32 (neg.f32 sinTheta_i) (/.f32 v cosTheta_O))) (*.f32 v 2)))
(/.f32 (.f32 cosTheta_i (/.f32 sinTheta_O (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) cosTheta_O))) (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 (.f32 v 2) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O))) (/.f32 (.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 cosTheta_O)) 2) cosTheta_O))
(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) cosTheta_O)) (*.f32 2 (sinh.f32 (reciprocal.f32 cosTheta_O)))) (/.f32 (/.f32 cosTheta_i (/.f32 cosTheta_O v)) cosTheta_O))
(.f32 (/.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O))) 2) (sinh.f32 (reciprocal.f32 cosTheta_O))) (/.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_O v))))
(/.f32 (/.f32 (.f32 (/.f32 v cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_i cosTheta_O)) sinTheta_O)) (.f32 (sinh.f32 (reciprocal.f32 cosTheta_O)) (*.f32 cosTheta_O 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (.f32 v 2)) (sinh.f32 (reciprocal.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_i)) 2) sinTheta_i))
(.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O v)) sinTheta_i)) (*.f32 2 (sinh.f32 (reciprocal.f32 sinTheta_i)))) (/.f32 (/.f32 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) sinTheta_i))
(.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 v sinTheta_i) sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 sinTheta_i)))) (/.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) cosTheta_i) (pow.f32 (exp.f32 (/.f32 v sinTheta_i)) sinTheta_O)) (.f32 2 (*.f32 sinTheta_i (sinh.f32 (reciprocal.f32 sinTheta_i)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i v) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 sinTheta_O)) 2) sinTheta_O))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 2 (sinh.f32 (reciprocal.f32 sinTheta_O)))) (/.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) sinTheta_O))
(.f32 (/.f32 (reciprocal.f32 (exp.f32 (.f32 (/.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (reciprocal.f32 sinTheta_O))) (/.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) (*.f32 sinTheta_O 2)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_i sinTheta_O)) v)) (.f32 (sinh.f32 (reciprocal.f32 sinTheta_O)) (*.f32 sinTheta_O 2)))

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 125 to 57 computations (54.4% saved)

eval5.0ms (0%)

Compiler: Compiled 67 to 38 computations (43.3% saved)

prune10.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
▶	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))

Compiler

Compiled 158 to 110 computations (30.4% saved)

localize618.0ms (3.2%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
✓	99.2%	(.f32 v (.f32 (sinh.f32 (reciprocal.f32 v)) 2))
✓	97.6%	(sinh.f32 (reciprocal.f32 v))
✓	69.8%	(reciprocal.f32 v)
✓	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
✓	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	97.6%	(sinh.f32 (/.f32 1 v))
✓	99.4%	(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v)))
✓	99.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	97.6%	(sinh.f32 (reciprocal.f32 v))
✓	69.8%	(reciprocal.f32 v)

Compiler

Compiled 264 to 74 computations (72% saved)

series149.0ms (0.8%)

Counts

12 → 312

Calls

78 calls:

Time	Variable		Point	Expression
36.0ms	cosTheta_O	@	inf	(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v)))
22.0ms	cosTheta_i	@	0	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
5.0ms	v	@	0	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
5.0ms	sinTheta_O	@	0	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
4.0ms	v	@	-inf	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)

rewrite486.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`times-frac`
476×	`frac-times`
311×	`add-exp-log`
311×	`add-log-exp`
310×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	367
1	786	359

Stop Event

1×	node limit

Counts

12 → 414

Calls

Call 1

Inputs
(reciprocal.f32 v)
(sinh.f32 (reciprocal.f32 v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v)))
(sinh.f32 (/.f32 1 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(reciprocal.f32 v)
(sinh.f32 (reciprocal.f32 v))
(.f32 v (.f32 (sinh.f32 (reciprocal.f32 v)) 2))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))

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

simplify334.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-*r/`
1254×	`associate-*l/`
670×	`associate-/l/`
520×	`associate-/r/`
444×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	935	40658
1	2710	38211

Stop Event

1×	node limit

Counts

726 → 476

Calls

Call 1

Inputs
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(/.f32 1 v)
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (*.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v))))
(/.f32 1 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (*.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 1/6 (*.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 -1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))))) (.f32 -1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 -1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 -1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 1/2 (/.f32 (-.f32 (.f32 -1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))))) (.f32 -1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (pow.f32 v 4))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (.f32 -1 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
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(expm1.f32 (log1p.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (log.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 1))
(log1p.f32 (expm1.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))) 1)
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
(.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))))
(.f32 1 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 (reciprocal.f32 v) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (reciprocal.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))) 2) (cbrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))) (sqrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (.f32 1/2 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))
(.f32 (reciprocal.f32 (sinh.f32 (reciprocal.f32 v))) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v 2)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 1/2 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 1) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 1) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 1) (/.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (sinh.f32 (reciprocal.f32 v))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) 1) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 1) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) v) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (cbrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sqrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 v (sinh.f32 (reciprocal.f32 v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 2))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 2))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 2) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 1) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (pow.f32 (cbrt.f32 (.f32 v 2)) 2)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (cbrt.f32 (*.f32 v 2))))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (.f32 v 2))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sqrt.f32 (*.f32 v 2))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)) (/.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (cbrt.f32 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sqrt.f32 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (sqrt.f32 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 1 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) v))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 1 (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 1 (.f32 v (sinh.f32 (reciprocal.f32 v)))) (/.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 2))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sinh.f32 (reciprocal.f32 v))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (cbrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sqrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 v (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) v) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) (sinh.f32 (reciprocal.f32 v))) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 v 2)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) v))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) (pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (cbrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (sqrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2) (.f32 v (sinh.f32 (reciprocal.f32 v)))) (/.f32 (cbrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) v))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (sinh.f32 (reciprocal.f32 v))) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 v 2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (cbrt.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (.f32 v (sinh.f32 (reciprocal.f32 v)))) (/.f32 (sqrt.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) 2))
(pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 1)
(pow.f32 (cbrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))) 2)
(pow.f32 (.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i)) (*.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) -1)
(sqrt.f32 (pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 2))
(log.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 3) (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) 3) (pow.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3) (pow.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3)))
(reciprocal.f32 (.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i)) (*.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(exp.f32 (-.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (.f32 (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i) (/.f32 (.f32 v 2) (/.f32 cosTheta_O v))))))
(exp.f32 (.f32 (-.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (.f32 (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i) (/.f32 (*.f32 v 2) (/.f32 cosTheta_O v))))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))

Outputs
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(/.f32 1 v)
(reciprocal.f32 v)
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (neg.f32 (reciprocal.f32 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (neg.f32 (reciprocal.f32 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (neg.f32 (reciprocal.f32 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (neg.f32 (reciprocal.f32 v)))))
(*.f32 1/2 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(/.f32 1 v)
(reciprocal.f32 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))
(+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 (/.f32 1/120 (pow.f32 v 5)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v)))
(+.f32 (/.f32 1/6 (pow.f32 v 3)) (+.f32 (reciprocal.f32 v) (/.f32 1/120 (pow.f32 v 5))))
(+.f32 (.f32 1/5040 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (*.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 1/120 (pow.f32 v 5)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))) (/.f32 1/5040 (pow.f32 v 7)))
(+.f32 (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v)) (+.f32 (/.f32 1/120 (pow.f32 v 5)) (/.f32 1/5040 (pow.f32 v 7))))
(/.f32 1 v)
(reciprocal.f32 v)
(+.f32 (/.f32 1 v) (*.f32 1/6 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))
(+.f32 (.f32 1/120 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
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(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(sinh.f32 (reciprocal.f32 v))
(sqrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 2))
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(sinh.f32 (reciprocal.f32 v))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(sinh.f32 (reciprocal.f32 v))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(sinh.f32 (reciprocal.f32 v))
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(sinh.f32 (reciprocal.f32 v))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
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(pow.f32 (.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i)) (*.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) -1)
(/.f32 (reciprocal.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i))) (.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(reciprocal.f32 (/.f32 (/.f32 (.f32 (/.f32 (pow.f32 v 2) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 2))
(sqrt.f32 (pow.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))) 2))
(fabs.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(log.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v)))))
(.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (reciprocal.f32 v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))) 3))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 3) (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) 3)))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) 3) (pow.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) 3)))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3) (pow.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) 3) (pow.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 v cosTheta_i)) 3) (pow.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)) 3)))
(reciprocal.f32 (.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i)) (*.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))))
(/.f32 (reciprocal.f32 (.f32 (/.f32 v cosTheta_O) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i))) (.f32 2 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(reciprocal.f32 (/.f32 (/.f32 (.f32 (/.f32 (pow.f32 v 2) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(exp.f32 (-.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (.f32 (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i) (/.f32 (.f32 v 2) (/.f32 cosTheta_O v))))))
(/.f32 (/.f32 cosTheta_O v) (.f32 2 (.f32 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i))))
(.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v 2)) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (.f32 (-.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (.f32 (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i) (/.f32 (*.f32 v 2) (/.f32 cosTheta_O v))))) 1))
(/.f32 (/.f32 cosTheta_O v) (.f32 2 (.f32 (/.f32 v (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (sinh.f32 (reciprocal.f32 v)) cosTheta_i))))
(.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v 2)) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (reciprocal.f32 v))) (.f32 1/2 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 1/2 (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))))
(.f32 1/2 (.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 (pow.f32 v 2) cosTheta_O))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))

eval251.0ms (1.3%)

Compiler: Compiled 15112 to 5784 computations (61.7% saved)

prune250.0ms (1.3%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	513	27	540
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	513	30	543

Accuracy

99.7%

Counts

543 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
▶	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	65.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	82.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (sqrt.f32 cosTheta_i) 1) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	60.2%	(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.3%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	98.5%	(.f32 (.f32 2 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
▶	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
▶	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	65.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	82.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (sqrt.f32 cosTheta_i) 1) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	60.2%	(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.3%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	98.5%	(.f32 (.f32 2 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
▶	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 3162 to 2238 computations (29.2% saved)

localize860.0ms (4.4%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	97.6%	(sinh.f32 (/.f32 1 v))
✓	65.2%	(sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	97.6%	(sinh.f32 (/.f32 1 v))
✓	94.4%	(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
✓	99.2%	(.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2))
	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
	97.6%	(sinh.f32 (reciprocal.f32 v))
	69.8%	(reciprocal.f32 v)
✓	99.9%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	99.6%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.1%	(-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))
✓	99.0%	(/.f32 1 (exp.f32 (/.f32 1 v)))
✓	99.0%	(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
✓	97.8%	(exp.f32 (/.f32 1 v))

Compiler

Compiled 394 to 150 computations (61.9% saved)

series51.0ms (0.3%)

Counts

11 → 176

Calls

57 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
2.0ms	v	@	-inf	(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
2.0ms	v	@	-inf	(sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
2.0ms	cosTheta_i	@	inf	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
2.0ms	cosTheta_i	@	0	(sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))

rewrite215.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`prod-diff`
686×	`expm1-udef`
686×	`log1p-udef`
416×	`log1p-expm1-u`
370×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	258
1	476	226
2	5743	226

Stop Event

1×	node limit

Counts

11 → 402

Calls

Call 1

Inputs
(exp.f32 (/.f32 1 v))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2))
(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
(sinh.f32 (/.f32 1 v))
(sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(sinh.f32 (/.f32 1 v))

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

simplify234.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1564×	`log-prod`
1202×	`fma-neg`
924×	`associate-r`
860×	`associate-l`
484×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	761	18189
1	1794	17385
2	7132	17379

Stop Event

1×	node limit

Counts

578 → 474

Calls

Call 1

Inputs
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v)))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 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 cosTheta_O cosTheta_i) v)
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
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(*.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) (reciprocal.f32 cosTheta_O)))
(*.f32 (reciprocal.f32 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) v) (/.f32 (cbrt.f32 cosTheta_i) (reciprocal.f32 cosTheta_O)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) (sqrt.f32 (/.f32 v cosTheta_O))) (/.f32 (cbrt.f32 cosTheta_i) (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 (sqrt.f32 cosTheta_i) (cbrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))
(*.f32 (reciprocal.f32 (/.f32 (neg.f32 v) cosTheta_O)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_i (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) 2)) (cbrt.f32 (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_i (sqrt.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (cbrt.f32 cosTheta_i) 2)) (cbrt.f32 cosTheta_i))
(.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))
(.f32 (.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (cbrt.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(.f32 (.f32 (/.f32 cosTheta_i v) 1) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (cbrt.f32 cosTheta_O) 2)) (cbrt.f32 cosTheta_O))
(.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 cosTheta_O))
(/.f32 1 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 1 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i))
(/.f32 -1 (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) (/.f32 (/.f32 v cosTheta_O) (cbrt.f32 cosTheta_i)))
(/.f32 (sqrt.f32 cosTheta_i) (/.f32 (/.f32 v cosTheta_O) (sqrt.f32 cosTheta_i)))
(/.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 v) cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (/.f32 (neg.f32 v) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (/.f32 cosTheta_i 1) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 cosTheta_i)) (sqrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (sqrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (reciprocal.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2)) (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (cbrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(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 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 (/.f32 cosTheta_O v) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 cosTheta_O v) 3) (pow.f32 cosTheta_i 3)))
(cbrt.f32 (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 (/.f32 v cosTheta_O) 3)))
(reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(reciprocal.f32 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 1))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(-.f32 (exp.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v)))) 1)
(-.f32 (/.f32 (exp.f32 (reciprocal.f32 v)) 2) (/.f32 (exp.f32 (/.f32 -1 v)) 2))
(*.f32 1 (sinh.f32 (reciprocal.f32 v)))
(.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 1/2)
(*.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(*.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2) (cbrt.f32 (sinh.f32 (reciprocal.f32 v))))
(*.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (sinh.f32 (reciprocal.f32 v))))
(/.f32 1 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 2)
(/.f32 (pow.f32 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 2) (/.f32 2 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(/.f32 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 2 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (exp.f32 (reciprocal.f32 v)) -3)) (*.f32 2 (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (+.f32 1 (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)) (.f32 2 (.f32 2 (cosh.f32 (reciprocal.f32 v)))))
(/.f32 (neg.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) -2)
(pow.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 3)
(pow.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(sqrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 2))
(log.f32 (exp.f32 (sinh.f32 (reciprocal.f32 v))))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(reciprocal.f32 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(expm1.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))) 1))
(log1p.f32 (expm1.f32 (sinh.f32 (reciprocal.f32 v))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) 1)
(.f32 1 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 1)
(.f32 (cbrt.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (cbrt.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(*.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (/.f32 cosTheta_O v)))
(.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/4) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/4))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 1/2))
(*.f32 (pow.f32 (/.f32 cosTheta_i v) 1/2) (sqrt.f32 cosTheta_O))
(.f32 (pow.f32 1 -1/2) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(*.f32 (pow.f32 (/.f32 v cosTheta_O) -1/2) (pow.f32 (reciprocal.f32 cosTheta_i) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2) (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O))
(*.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/4) (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/4))
(/.f32 1 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (sqrt.f32 (neg.f32 cosTheta_i)) (sqrt.f32 (/.f32 (neg.f32 v) cosTheta_O)))
(/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v))
(/.f32 (neg.f32 (sqrt.f32 cosTheta_i)) (neg.f32 (sqrt.f32 (/.f32 v cosTheta_O))))
(pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/2)
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/2)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) 3)
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3/2) 1/3)
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/4) 2)
(fabs.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3/2))
(reciprocal.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) 1))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (exp.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v)))) 1)
(-.f32 (/.f32 (exp.f32 (reciprocal.f32 v)) 2) (/.f32 (exp.f32 (/.f32 -1 v)) 2))
(*.f32 1 (sinh.f32 (reciprocal.f32 v)))
(.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 1/2)
(*.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(*.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2) (cbrt.f32 (sinh.f32 (reciprocal.f32 v))))
(*.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (sinh.f32 (reciprocal.f32 v))))
(/.f32 1 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 2)
(/.f32 (pow.f32 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 2) (/.f32 2 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(/.f32 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 2 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (exp.f32 (reciprocal.f32 v)) -3)) (*.f32 2 (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (+.f32 1 (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)) (.f32 2 (.f32 2 (cosh.f32 (reciprocal.f32 v)))))
(/.f32 (neg.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) -2)
(pow.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 3)
(pow.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(sqrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 2))
(log.f32 (exp.f32 (sinh.f32 (reciprocal.f32 v))))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(reciprocal.f32 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(expm1.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))) 1))
(log1p.f32 (expm1.f32 (sinh.f32 (reciprocal.f32 v))))

Outputs
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (reciprocal.f32 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)) (/.f32 1/6 (pow.f32 v 3))))
(+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))
1
(+.f32 1 (/.f32 1 v))
(+.f32 1 (reciprocal.f32 v))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v)))
(+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (/.f32 1 v))))
(+.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)) (/.f32 1/6 (pow.f32 v 3))))
(+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))
(*.f32 2 v)
(*.f32 v 2)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(fma.f32 2 v (/.f32 1/3 v))
(fma.f32 v 2 (/.f32 1/3 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 2 v (/.f32 1/3 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 2 v (/.f32 1/3 v))) (/.f32 1/2520 (pow.f32 v 5)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (fma.f32 v 2 (/.f32 1/3 v)) (/.f32 1/2520 (pow.f32 v 5))))
(*.f32 2 v)
(*.f32 v 2)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(fma.f32 2 v (/.f32 1/3 v))
(fma.f32 v 2 (/.f32 1/3 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 2 v (/.f32 1/3 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 2 v (/.f32 1/3 v))) (/.f32 1/2520 (pow.f32 v 5)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (fma.f32 v 2 (/.f32 1/3 v)) (/.f32 1/2520 (pow.f32 v 5))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (reciprocal.f32 v))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (reciprocal.f32 v))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
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(*.f32 2 (sinh.f32 (reciprocal.f32 v)))
(.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 1)
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(-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))
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(*.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (exp.f32 (reciprocal.f32 v)) -3)) (reciprocal.f32 (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) -2) (+.f32 1 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)))))
(/.f32 1 (/.f32 (*.f32 2 (cosh.f32 (reciprocal.f32 v))) (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2))))
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(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)) (*.f32 2 (cosh.f32 (reciprocal.f32 v))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2))) (neg.f32 (*.f32 2 (cosh.f32 (reciprocal.f32 v)))))
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(pow.f32 (cbrt.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3)
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(pow.f32 (pow.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 3) 1/3)
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(fabs.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))))
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(exp.f32 (log.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
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(-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) 1)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 1 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 1 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 -1 (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i))
(*.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (/.f32 cosTheta_O v)))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 1/2))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (sqrt.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(*.f32 (pow.f32 (/.f32 cosTheta_i v) 1/2) (sqrt.f32 cosTheta_O))
(*.f32 (sqrt.f32 cosTheta_O) (sqrt.f32 (/.f32 cosTheta_i v)))
(.f32 (pow.f32 1 -1/2) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 (pow.f32 (/.f32 v cosTheta_O) -1/2) (pow.f32 (reciprocal.f32 cosTheta_i) -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2) (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(reciprocal.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (sqrt.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O))
(*.f32 (sqrt.f32 cosTheta_O) (sqrt.f32 (/.f32 cosTheta_i v)))
(*.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/4) (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/4))
(pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(reciprocal.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (/.f32 v cosTheta_O)))
(/.f32 (sqrt.f32 (neg.f32 cosTheta_i)) (sqrt.f32 (/.f32 (neg.f32 v) cosTheta_O)))
(/.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 v))
(/.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 v))
(/.f32 (neg.f32 (sqrt.f32 cosTheta_i)) (neg.f32 (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 1 (/.f32 (sqrt.f32 cosTheta_i) (sqrt.f32 (/.f32 v cosTheta_O))))
(pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/2)
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/2)
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 1)
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) 3)
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3/2) 1/3)
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3/2))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2))
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 1/4) 2)
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(fabs.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3/2))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2))
(reciprocal.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 1/2))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) 1))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2))
(pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1/2)
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(-.f32 (exp.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v)))) 1)
(sinh.f32 (reciprocal.f32 v))
(-.f32 (/.f32 (exp.f32 (reciprocal.f32 v)) 2) (/.f32 (exp.f32 (/.f32 -1 v)) 2))
(sinh.f32 (reciprocal.f32 v))
(*.f32 1 (sinh.f32 (reciprocal.f32 v)))
(sinh.f32 (reciprocal.f32 v))
(.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 1/2)
(sinh.f32 (reciprocal.f32 v))
(*.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(sinh.f32 (reciprocal.f32 v))
(*.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2))
(sinh.f32 (reciprocal.f32 v))
(*.f32 (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2) (cbrt.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))
(*.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))
(/.f32 1 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(sinh.f32 (reciprocal.f32 v))
(/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 2)
(sinh.f32 (reciprocal.f32 v))
(/.f32 (pow.f32 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 2) (/.f32 2 (cbrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(sinh.f32 (reciprocal.f32 v))
(/.f32 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 2 (sqrt.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(sinh.f32 (reciprocal.f32 v))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (exp.f32 (reciprocal.f32 v)) -3)) (*.f32 2 (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (+.f32 1 (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (exp.f32 (reciprocal.f32 v)) -3)) (*.f32 2 (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) -2) (+.f32 1 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)) (.f32 2 (.f32 2 (cosh.f32 (reciprocal.f32 v)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (exp.f32 (reciprocal.f32 v)) -2)) (*.f32 4 (cosh.f32 (reciprocal.f32 v))))
(/.f32 (neg.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) -2)
(/.f32 (*.f32 -2 (sinh.f32 (reciprocal.f32 v))) -2)
(neg.f32 (/.f32 (sinh.f32 (reciprocal.f32 v)) -1))
(pow.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(sinh.f32 (reciprocal.f32 v))
(pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 3)
(sinh.f32 (reciprocal.f32 v))
(pow.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3) 1/3)
(sinh.f32 (reciprocal.f32 v))
(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(sinh.f32 (reciprocal.f32 v))
(sqrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 2))
(fabs.f32 (sinh.f32 (reciprocal.f32 v)))
(log.f32 (exp.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(sinh.f32 (reciprocal.f32 v))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(sinh.f32 (reciprocal.f32 v))
(reciprocal.f32 (/.f32 2 (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(sinh.f32 (reciprocal.f32 v))
(expm1.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))) 1))
(sinh.f32 (reciprocal.f32 v))
(log1p.f32 (expm1.f32 (sinh.f32 (reciprocal.f32 v))))
(sinh.f32 (reciprocal.f32 v))

eval856.0ms (4.4%)

Compiler: Compiled 38774 to 17424 computations (55.1% saved)

prune423.0ms (2.2%)

Pruning

53 alts after pruning (48 fresh and 5 done)

	Pruned	Kept	Total
New	1404	35	1439
Fresh	9	13	22
Picked	3	2	5
Done	0	3	3
Total	1416	53	1469

Accuracy

99.8%

Counts

1469 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) 3) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	78.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	60.2%	(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
	65.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
	65.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
▶	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	98.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	80.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
	94.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
	69.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
	68.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
	93.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
	82.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
	60.3%	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.2%	(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
▶	60.3%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	57.0%	(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
	60.3%	(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) 3) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	78.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	60.2%	(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
	65.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
	65.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
▶	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	98.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))))
	80.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
	94.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
	69.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
	68.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
	93.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
	82.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
	60.3%	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.2%	(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
▶	60.3%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	57.0%	(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
	60.3%	(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))

Compiler

Compiled 4924 to 3622 computations (26.4% saved)

localize698.0ms (3.6%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
	97.6%	(sinh.f32 (/.f32 1 v))
✓	99.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v)
	97.6%	(sinh.f32 (/.f32 1 v))
✓	99.2%	(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
✓	99.1%	(/.f32 1 (pow.f32 v 3))
✓	98.8%	(*.f32 1/3 (/.f32 1 v))
✓	98.0%	(*.f32 1/60 (/.f32 1 (pow.f32 v 3)))
✓	99.9%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	99.7%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
✓	99.1%	(-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))
✓	99.0%	(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
✓	97.8%	(exp.f32 (/.f32 -1 v))
	97.8%	(exp.f32 (/.f32 1 v))

Compiler

Compiled 393 to 183 computations (53.4% saved)

series61.0ms (0.3%)

Counts

11 → 200

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	sinTheta_i	@	inf	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
3.0ms	cosTheta_O	@	-inf	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
2.0ms	cosTheta_i	@	0	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
2.0ms	sinTheta_O	@	inf	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
2.0ms	sinTheta_O	@	-inf	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

388×	`log1p-expm1-u`
388×	`expm1-log1p-u`
381×	`add-exp-log`
381×	`add-log-exp`
377×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	338
1	875	334

Stop Event

1×	node limit

Counts

11 → 208

Calls

Call 1

Inputs
(exp.f32 (/.f32 -1 v))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 1/60 (/.f32 1 (pow.f32 v 3)))
(*.f32 1/3 (/.f32 1 v))
(/.f32 1 (pow.f32 v 3))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))

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

simplify212.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

968×	`log-prod`
620×	`associate-r`
554×	`associate-l`
552×	`exp-prod`
544×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	18555
1	1505	17135
2	6179	16607

Stop Event

1×	node limit

Counts

408 → 317

Calls

Call 1

Inputs
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v)))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 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 cosTheta_O cosTheta_i) v)
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/3 v)
(/.f32 1/60 (pow.f32 v 3))
(+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))
(+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))))
(+.f32 (.f32 1/6 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)))) (.f32 (pow.f32 v 5) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 1/6 (*.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (.f32 1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))))) (.f32 1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (pow.f32 v 4))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))))
(+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 -1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2)))))
(+.f32 (.f32 -1/2 (/.f32 (-.f32 (.f32 -1/2 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2))))) (.f32 -1/6 (.f32 cosTheta_O cosTheta_i))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (.f32 1/2 (/.f32 (-.f32 (.f32 1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))))) (.f32 1/6 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (pow.f32 v 4))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))))
(+.f32 (.f32 1/6 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)))) (.f32 (pow.f32 v 5) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)))) (.f32 (pow.f32 v 4) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (pow.f32 v 3) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))))))
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(log1p.f32 (expm1.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) 1/2)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/60 (pow.f32 v 3)))) 1)
(/.f32 1/60 (pow.f32 v 3))
(pow.f32 (/.f32 1/60 (pow.f32 v 3)) 1)
(pow.f32 (/.f32 (cbrt.f32 1/60) v) 3)
(pow.f32 (/.f32 1/216000 (pow.f32 (pow.f32 v 3) 3)) 1/3)
(pow.f32 (sqrt.f32 (/.f32 1/60 (pow.f32 v 3))) 2)
(log.f32 (exp.f32 (/.f32 1/60 (pow.f32 v 3))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/60 (pow.f32 v 3)))))
(cbrt.f32 (/.f32 1/216000 (pow.f32 (pow.f32 v 3) 3)))
(expm1.f32 (log1p.f32 (/.f32 1/60 (pow.f32 v 3))))
(exp.f32 (log.f32 (/.f32 1/60 (pow.f32 v 3))))
(exp.f32 (*.f32 (log.f32 (/.f32 1/60 (pow.f32 v 3))) 1))
(log1p.f32 (expm1.f32 (/.f32 1/60 (pow.f32 v 3))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/3 v))) 1)
(/.f32 1/3 v)
(pow.f32 (/.f32 1/3 v) 1)
(pow.f32 (cbrt.f32 (/.f32 1/3 v)) 3)
(pow.f32 (*.f32 (pow.f32 v -3) 1/27) 1/3)
(pow.f32 (sqrt.f32 (/.f32 1/3 v)) 2)
(log.f32 (exp.f32 (/.f32 1/3 v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/3 v))))
(cbrt.f32 (*.f32 (pow.f32 v -3) 1/27))
(expm1.f32 (log1p.f32 (/.f32 1/3 v)))
(exp.f32 (log.f32 (/.f32 1/3 v)))
(exp.f32 (*.f32 (log.f32 (/.f32 1/3 v)) 1))
(log1p.f32 (expm1.f32 (/.f32 1/3 v)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 v -3))) 1)
(*.f32 1 (pow.f32 v -3))
(*.f32 (reciprocal.f32 v) (pow.f32 v -2))
(*.f32 (pow.f32 v -2) (reciprocal.f32 v))
(*.f32 (sqrt.f32 (pow.f32 v -3)) (sqrt.f32 (pow.f32 v -3)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) 2) -3) (pow.f32 (cbrt.f32 v) -3))
(*.f32 (pow.f32 (sqrt.f32 v) -3) (pow.f32 (sqrt.f32 v) -3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 v 3)) -1) (pow.f32 (sqrt.f32 (pow.f32 v 3)) -1))
(*.f32 (pow.f32 (pow.f32 v 3/2) -1) (pow.f32 (pow.f32 v 3/2) -1))
(pow.f32 v -3)
(pow.f32 (reciprocal.f32 v) 3)
(pow.f32 (pow.f32 v 3) -1)
(pow.f32 (pow.f32 v -3) 1)
(pow.f32 (pow.f32 (pow.f32 v -3) 3) 1/3)
(pow.f32 (sqrt.f32 (pow.f32 v -3)) 2)
(pow.f32 (/.f32 (pow.f32 v 3) 1) -1)
(log.f32 (exp.f32 (pow.f32 v -3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 v -3))))
(cbrt.f32 (pow.f32 (pow.f32 v -3) 3))
(reciprocal.f32 (pow.f32 v 3))
(reciprocal.f32 (/.f32 (pow.f32 v 3) 1))
(expm1.f32 (log1p.f32 (pow.f32 v -3)))
(exp.f32 (*.f32 -3 (log.f32 v)))
(exp.f32 (*.f32 (log.f32 v) -3))
(exp.f32 (.f32 (.f32 3 (log.f32 v)) -1))
(exp.f32 (.f32 (.f32 -3 (log.f32 v)) 1))
(log1p.f32 (expm1.f32 (pow.f32 v -3)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))))) 1)
(*.f32 1 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))) 2) (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(*.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))) (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 1/60 (pow.f32 v 3)) 2) (pow.f32 (fma.f32 v 2 (/.f32 1/3 v)) 2)) (-.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v))))
(/.f32 (+.f32 (/.f32 1/216000 (pow.f32 (pow.f32 v 3) 3)) (pow.f32 (fma.f32 v 2 (/.f32 1/3 v)) 3)) (+.f32 (pow.f32 (/.f32 1/60 (pow.f32 v 3)) 2) (-.f32 (pow.f32 (fma.f32 v 2 (/.f32 1/3 v)) 2) (*.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v))))))
(pow.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))) 1)
(pow.f32 (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))) 3)
(pow.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))) 2)
(log.f32 (exp.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))))))
(cbrt.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v))) 3))
(expm1.f32 (log1p.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(exp.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))) 1))
(log1p.f32 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))))
(fma.f32 1 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 1 (fma.f32 v 2 (/.f32 1/3 v)) (/.f32 1/60 (pow.f32 v 3)))
(fma.f32 1/60 (pow.f32 v -3) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 v 2 (/.f32 1/3 v)) 2)) (cbrt.f32 (fma.f32 v 2 (/.f32 1/3 v))) (/.f32 1/60 (pow.f32 v 3)))
(fma.f32 (pow.f32 (/.f32 (cbrt.f32 1/60) v) 2) (/.f32 (cbrt.f32 1/60) v) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (sqrt.f32 (fma.f32 v 2 (/.f32 1/3 v))) (sqrt.f32 (fma.f32 v 2 (/.f32 1/3 v))) (/.f32 1/60 (pow.f32 v 3)))
(fma.f32 (sqrt.f32 (/.f32 1/60 (pow.f32 v 3))) (sqrt.f32 (/.f32 1/60 (pow.f32 v 3))) (fma.f32 v 2 (/.f32 1/3 v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))) 1)
(.f32 1 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (reciprocal.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 2) (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))
(pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 1)
(pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 2)
(pow.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) -1)
(log.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3) (pow.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)) 3)))
(reciprocal.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 (neg.f32 sinTheta_O))) (log.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(exp.f32 (.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 (neg.f32 sinTheta_O))) (log.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))) 1)
(*.f32 1 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 cosTheta_i (pow.f32 (/.f32 v cosTheta_O) -1/2))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 2)) (cbrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 1)
(pow.f32 (cbrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 3)
(pow.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 2)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 v cosTheta_O)) cosTheta_i) -1)
(log.f32 (exp.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 3))
(cbrt.f32 (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 (/.f32 v cosTheta_O) 3/2)))
(reciprocal.f32 (/.f32 (sqrt.f32 (/.f32 v cosTheta_O)) cosTheta_i))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(exp.f32 (log.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 1))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))

Outputs
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (fma.f32 1/6 (pow.f32 v -3) (reciprocal.f32 v))))
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (fma.f32 1/6 (pow.f32 v -3) (reciprocal.f32 v))))
(*.f32 2 v)
(*.f32 v 2)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(fma.f32 v 2 (/.f32 1/3 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(+.f32 (+.f32 (/.f32 1/2520 (pow.f32 v 5)) (/.f32 1/60 (pow.f32 v 3))) (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (/.f32 1/2520 (pow.f32 v 5)) (fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v))))
(*.f32 2 v)
(*.f32 v 2)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(fma.f32 v 2 (/.f32 1/3 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(+.f32 (+.f32 (/.f32 1/2520 (pow.f32 v 5)) (/.f32 1/60 (pow.f32 v 3))) (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (/.f32 1/2520 (pow.f32 v 5)) (fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 2 v) (/.f32 1/3 (pow.f32 v 3)))
(fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 5)) (/.f32 1/3 (pow.f32 v 3))) (/.f32 2 v))
(+.f32 (/.f32 1/60 (pow.f32 v 5)) (fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v)))))
(+.f32 (+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 5)) (/.f32 1/3 (pow.f32 v 3))) (/.f32 2 v)) (/.f32 1/2520 (pow.f32 v 7)))
(+.f32 (/.f32 1/60 (pow.f32 v 5)) (+.f32 (fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v)) (/.f32 1/2520 (pow.f32 v 7))))
(/.f32 2 v)
(+.f32 (.f32 2 (/.f32 1 v)) (.f32 1/3 (/.f32 1 (pow.f32 v 3))))
(+.f32 (/.f32 2 v) (/.f32 1/3 (pow.f32 v 3)))
(fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (*.f32 2 (/.f32 1 v))))
(+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 5)) (/.f32 1/3 (pow.f32 v 3))) (/.f32 2 v))
(+.f32 (/.f32 1/60 (pow.f32 v 5)) (fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 7))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 v 3))) (.f32 2 (/.f32 1 v)))))
(+.f32 (+.f32 (+.f32 (/.f32 1/60 (pow.f32 v 5)) (/.f32 1/3 (pow.f32 v 3))) (/.f32 2 v)) (/.f32 1/2520 (pow.f32 v 7)))
(+.f32 (/.f32 1/60 (pow.f32 v 5)) (+.f32 (fma.f32 (pow.f32 v -3) 1/3 (/.f32 2 v)) (/.f32 1/2520 (pow.f32 v 7))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (sqrt.f32 (fma.f32 v 2 (/.f32 1/3 v))) (sqrt.f32 (fma.f32 v 2 (/.f32 1/3 v))) (/.f32 1/60 (pow.f32 v 3)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (sqrt.f32 (/.f32 1/60 (pow.f32 v 3))) (sqrt.f32 (/.f32 1/60 (pow.f32 v 3))) (fma.f32 v 2 (/.f32 1/3 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (fma.f32 v 2 (/.f32 1/3 v)))
(fma.f32 (pow.f32 v -3) 1/60 (fma.f32 v 2 (/.f32 1/3 v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))) 1)
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(.f32 1 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (reciprocal.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2))))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (reciprocal.f32 (.f32 (*.f32 v 2) (sinh.f32 (reciprocal.f32 v))))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 2 (.f32 v (sinh.f32 (reciprocal.f32 v))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 2) (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 1)
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 3)
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(pow.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 3) 1/3)
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))) 2)
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(pow.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) -1)
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (reciprocal.f32 (.f32 (*.f32 v 2) (sinh.f32 (reciprocal.f32 v))))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 2 (.f32 v (sinh.f32 (reciprocal.f32 v))))))
(log.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v)) 3))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3) (pow.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3) (pow.f32 (.f32 (.f32 v 2) (sinh.f32 (reciprocal.f32 v))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) 3) (pow.f32 (.f32 2 (.f32 v (sinh.f32 (reciprocal.f32 v)))) 3)))
(reciprocal.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (reciprocal.f32 (.f32 (*.f32 v 2) (sinh.f32 (reciprocal.f32 v))))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 2 (.f32 v (sinh.f32 (reciprocal.f32 v))))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 (neg.f32 sinTheta_O))) (log.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(exp.f32 (-.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (log.f32 (.f32 (/.f32 (.f32 (.f32 v 2) (sinh.f32 (reciprocal.f32 v))) cosTheta_i) (/.f32 v cosTheta_O)))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 cosTheta_i (*.f32 2 (/.f32 (pow.f32 v 2) cosTheta_O)))))
(exp.f32 (.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 (neg.f32 sinTheta_O))) (log.f32 (/.f32 (.f32 (sinh.f32 (reciprocal.f32 v)) (.f32 v 2)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) 1))
(exp.f32 (-.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (log.f32 (.f32 (/.f32 (.f32 (.f32 v 2) (sinh.f32 (reciprocal.f32 v))) cosTheta_i) (/.f32 v cosTheta_O)))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (sinh.f32 (reciprocal.f32 v)) (/.f32 cosTheta_i (*.f32 2 (/.f32 (pow.f32 v 2) cosTheta_O)))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 (neg.f32 sinTheta_O))) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (/.f32 cosTheta_i (*.f32 v (/.f32 v cosTheta_O))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_O (/.f32 (pow.f32 v 2) cosTheta_i))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))) 1)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(*.f32 1 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(*.f32 cosTheta_i (pow.f32 (/.f32 v cosTheta_O) -1/2))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 2)) (cbrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 1)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(pow.f32 (cbrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 3)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(pow.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 3) 1/3)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(pow.f32 (sqrt.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 2)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 v cosTheta_O)) cosTheta_i) -1)
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(log.f32 (exp.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) 3))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(cbrt.f32 (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 (/.f32 v cosTheta_O) 3/2)))
(reciprocal.f32 (/.f32 (sqrt.f32 (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(exp.f32 (log.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))) 1))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))))
(/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O)))

eval345.0ms (1.8%)

Compiler: Compiled 22742 to 9789 computations (57% saved)

prune387.0ms (2%)

Pruning

57 alts after pruning (49 fresh and 8 done)

	Pruned	Kept	Total
New	796	15	811
Fresh	9	34	43
Picked	2	3	5
Done	0	5	5
Total	807	57	864

Accuracy

99.9%

Counts

864 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
▶	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
✓	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	78.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	60.2%	(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
	65.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
▶	59.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	65.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
	59.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	98.1%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (exp.f32 (/.f32 -1 v)))))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (/.f32 1/3 v)) 3) (exp.f32 (/.f32 -1 v)))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 -1 v)))))
	80.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
▶	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
	94.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
	93.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
✓	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
	69.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
	82.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
	82.6%	(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
	60.3%	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.2%	(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
▶	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	60.3%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	60.3%	(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
	60.3%	(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	54.0%	(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
▶	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
✓	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	78.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	60.2%	(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
	65.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
▶	59.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	65.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
	59.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	98.1%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (exp.f32 (/.f32 -1 v)))))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (/.f32 1/3 v)) 3) (exp.f32 (/.f32 -1 v)))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 -1 v)))))
	80.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
▶	74.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
	94.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
	93.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
▶	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
✓	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
	69.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
	82.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
	82.6%	(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
	60.3%	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	60.2%	(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
▶	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	60.3%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	60.3%	(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
	60.3%	(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	54.0%	(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))

Compiler

Compiled 4896 to 3666 computations (25.1% saved)

localize860.0ms (4.4%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
✓	99.2%	(.f32 v (.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2))
✓	98.3%	(pow.f32 (sqrt.f32 v) -2)
✓	97.6%	(sinh.f32 (pow.f32 (sqrt.f32 v) -2))
✓	99.1%	(-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))
✓	98.9%	(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v)))))
	97.8%	(exp.f32 (/.f32 1 v))
	69.8%	(reciprocal.f32 v)
✓	99.3%	(+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v))
✓	99.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
✓	98.9%	(/.f32 1/3 v)
✓	98.0%	(/.f32 1/60 (pow.f32 v 3))
✓	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	99.9%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	99.0%	(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
	97.8%	(exp.f32 (/.f32 -1 v))
	97.8%	(exp.f32 (/.f32 1 v))
✓	89.3%	(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))

Compiler

Compiled 321 to 176 computations (45.2% saved)

series106.0ms (0.5%)

Counts

14 → 216

Calls

69 calls:

Time	Variable		Point	Expression
19.0ms	v	@	-inf	(sinh.f32 (pow.f32 (sqrt.f32 v) -2))
11.0ms	v	@	-inf	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
6.0ms	v	@	inf	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
5.0ms	v	@	-inf	(.f32 v (.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2))
4.0ms	v	@	inf	(sinh.f32 (pow.f32 (sqrt.f32 v) -2))

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`log1p-expm1-u`
399×	`expm1-log1p-u`
390×	`add-exp-log`
389×	`add-log-exp`
388×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	428
1	958	420

Stop Event

1×	node limit

Counts

14 → 257

Calls

Call 1

Inputs
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_i cosTheta_O)
(/.f32 1/60 (pow.f32 v 3))
(/.f32 1/3 v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v)))))
(-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))
(sinh.f32 (pow.f32 (sqrt.f32 v) -2))
(pow.f32 (sqrt.f32 v) -2)
(.f32 v (.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))

Outputs
(+.f32 0 (exp.f32 (/.f32 -1 v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(pow.f32 (exp.f32 1) (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (reciprocal.f32 v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 -1 v)) 2)) (cbrt.f32 (/.f32 -1 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 -1 v))) (sqrt.f32 (/.f32 -1 v)))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 (/.f32 -1 v) 1))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))))) 1)
(pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))) 3)
(pow.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))) 2)
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v)))) 3))
(cbrt.f32 (*.f32 (pow.f32 v 6) (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))) 3) (pow.f32 v 6)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))) 1)
(/.f32 (.f32 1/2 (.f32 cosTheta_i cosTheta_O)) v)
(pow.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1)
(pow.f32 (cbrt.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))) 3)
(pow.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))) 2)
(log.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) 1/2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))
(cbrt.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3))
(expm1.f32 (log1p.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(exp.f32 (log.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 1))
(log1p.f32 (expm1.f32 (.f32 1/2 (.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O))) 1)
(pow.f32 (*.f32 cosTheta_i cosTheta_O) 1)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 3)
(pow.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2)
(log.f32 (pow.f32 (exp.f32 cosTheta_i) cosTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_i cosTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_i 3) (pow.f32 cosTheta_O 3)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i cosTheta_O)) 1))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/60 (pow.f32 v -3)))) 1)
(.f32 1 (.f32 1/60 (pow.f32 v -3)))
(*.f32 1/60 (pow.f32 v -3))
(*.f32 (pow.f32 (/.f32 (cbrt.f32 1/60) v) 2) (/.f32 (cbrt.f32 1/60) v))
(.f32 (sqrt.f32 (.f32 1/60 (pow.f32 v -3))) (sqrt.f32 (*.f32 1/60 (pow.f32 v -3))))
(pow.f32 (*.f32 1/60 (pow.f32 v -3)) 1)
(pow.f32 (/.f32 (cbrt.f32 1/60) v) 3)
(pow.f32 (*.f32 1/216000 (pow.f32 (pow.f32 v -3) 3)) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/60 (pow.f32 v -3))) 2)
(pow.f32 (/.f32 (pow.f32 v 3) 1/60) -1)
(log.f32 (pow.f32 (exp.f32 1/60) (pow.f32 v -3)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/60 (pow.f32 v -3)))))
(cbrt.f32 (*.f32 1/216000 (pow.f32 (pow.f32 v -3) 3)))
(reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60))
(expm1.f32 (log1p.f32 (*.f32 1/60 (pow.f32 v -3))))
(exp.f32 (log.f32 (*.f32 1/60 (pow.f32 v -3))))
(exp.f32 (.f32 (log.f32 (.f32 1/60 (pow.f32 v -3))) 1))
(log1p.f32 (expm1.f32 (*.f32 1/60 (pow.f32 v -3))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/3 v))) 1)
(*.f32 1 (/.f32 1/3 v))
(*.f32 1/3 (reciprocal.f32 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/3 v)) 2) (cbrt.f32 (/.f32 1/3 v)))
(*.f32 (sqrt.f32 (/.f32 1/3 v)) (sqrt.f32 (/.f32 1/3 v)))
(pow.f32 (/.f32 1/3 v) 1)
(pow.f32 (cbrt.f32 (/.f32 1/3 v)) 3)
(pow.f32 (*.f32 1/27 (pow.f32 v -3)) 1/3)
(pow.f32 (sqrt.f32 (/.f32 1/3 v)) 2)
(pow.f32 (/.f32 v 1/3) -1)
(log.f32 (exp.f32 (/.f32 1/3 v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/3 v))))
(cbrt.f32 (*.f32 1/27 (pow.f32 v -3)))
(reciprocal.f32 (/.f32 v 1/3))
(expm1.f32 (log1p.f32 (/.f32 1/3 v)))
(exp.f32 (log.f32 (/.f32 1/3 v)))
(exp.f32 (*.f32 (log.f32 (/.f32 1/3 v)) 1))
(log1p.f32 (expm1.f32 (/.f32 1/3 v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))) 1)
(.f32 1 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (reciprocal.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) 2) (cbrt.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(.f32 (sqrt.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) (sqrt.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 1)
(pow.f32 (cbrt.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) 3)
(pow.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) 2)
(pow.f32 (/.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) (*.f32 cosTheta_i cosTheta_O)) -1)
(log.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 3)))
(reciprocal.f32 (/.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) (*.f32 cosTheta_i cosTheta_O)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(exp.f32 (log.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))) 1)
(*.f32 1 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 2)) (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(*.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(/.f32 (fma.f32 1/60 v (*.f32 (pow.f32 v 3) 1/3)) (pow.f32 v 4))
(/.f32 (-.f32 (pow.f32 (*.f32 1/60 (pow.f32 v -3)) 2) (pow.f32 (/.f32 1/3 v) 2)) (fma.f32 1/60 (pow.f32 v -3) (neg.f32 (/.f32 1/3 v))))
(/.f32 (+.f32 (.f32 1/216000 (pow.f32 (pow.f32 v -3) 3)) (.f32 1/27 (pow.f32 v -3))) (+.f32 (pow.f32 (.f32 1/60 (pow.f32 v -3)) 2) (-.f32 (pow.f32 (/.f32 1/3 v) 2) (.f32 (*.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))))
(pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 1)
(pow.f32 (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 3)
(pow.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 2)
(log.f32 (exp.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(cbrt.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 3))
(expm1.f32 (log1p.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(exp.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 1))
(log1p.f32 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1 (*.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v))
(fma.f32 1 (/.f32 1/3 v) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 1/3 (reciprocal.f32 v) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 (pow.f32 (/.f32 (cbrt.f32 1/60) v) 2) (/.f32 (cbrt.f32 1/60) v) (/.f32 1/3 v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/3 v)) 2) (cbrt.f32 (/.f32 1/3 v)) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 (sqrt.f32 (.f32 1/60 (pow.f32 v -3))) (sqrt.f32 (.f32 1/60 (pow.f32 v -3))) (/.f32 1/3 v))
(fma.f32 (sqrt.f32 (/.f32 1/3 v)) (sqrt.f32 (/.f32 1/3 v)) (*.f32 1/60 (pow.f32 v -3)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))) 1)
(pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 3)
(pow.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 2)
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3))
(cbrt.f32 (*.f32 (pow.f32 v 6) (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) (pow.f32 v 6)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(+.f32 (exp.f32 (reciprocal.f32 v)) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(+.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (fma.f32 (neg.f32 (sqrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (sqrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(+.f32 (fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(*.f32 1 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 2) (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (+.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (+.f32 1 (reciprocal.f32 v)) -3)) (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (+.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2) (exp.f32 (+.f32 (reciprocal.f32 v) (neg.f32 (log1p.f32 (reciprocal.f32 v))))))))
(pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1)
(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3)
(pow.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 2)
(log.f32 (exp.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(cbrt.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3))
(expm1.f32 (log1p.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(exp.f32 (log.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 1))
(log1p.f32 (expm1.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(-.f32 (exp.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v)))) 1)
(*.f32 1 (sinh.f32 (reciprocal.f32 v)))
(*.f32 (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2) (cbrt.f32 (sinh.f32 (reciprocal.f32 v))))
(*.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (sinh.f32 (reciprocal.f32 v))))
(/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 2)
(pow.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 3)
(pow.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(log.f32 (exp.f32 (sinh.f32 (reciprocal.f32 v))))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(expm1.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))) 1))
(log1p.f32 (expm1.f32 (sinh.f32 (reciprocal.f32 v))))
(+.f32 0 (reciprocal.f32 v))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2))) (log.f32 (cbrt.f32 (exp.f32 (reciprocal.f32 v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v)))) (log.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v)))))
(-.f32 (+.f32 1 (reciprocal.f32 v)) 1)
(*.f32 1 (reciprocal.f32 v))
(*.f32 (cbrt.f32 (pow.f32 v -2)) (cbrt.f32 (reciprocal.f32 v)))
(*.f32 (sqrt.f32 (reciprocal.f32 v)) (sqrt.f32 (reciprocal.f32 v)))
(*.f32 (pow.f32 v -1/2) (pow.f32 v -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) 2) -1) (pow.f32 (cbrt.f32 v) -1))
(*.f32 (pow.f32 (cbrt.f32 v) -2) (pow.f32 (cbrt.f32 (sqrt.f32 v)) -2))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 v)) -2) (pow.f32 (sqrt.f32 (sqrt.f32 v)) -2))
(/.f32 -1 (neg.f32 v))
(/.f32 1 v)
(/.f32 1 (/.f32 v 1))
(log.f32 (exp.f32 (reciprocal.f32 v)))
(log.f32 (+.f32 1 (expm1.f32 (reciprocal.f32 v))))
(cbrt.f32 (pow.f32 v -3))
(reciprocal.f32 v)
(reciprocal.f32 (/.f32 v 1))
(expm1.f32 (log1p.f32 (reciprocal.f32 v)))
(exp.f32 (log.f32 (reciprocal.f32 v)))
(exp.f32 (*.f32 (log.f32 v) -1))
(exp.f32 (*.f32 (log.f32 (reciprocal.f32 v)) 1))
(log1p.f32 (expm1.f32 (reciprocal.f32 v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 1)
(pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 1)
(pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3)
(pow.f32 (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (sinh.f32 (reciprocal.f32 v))) v))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(cbrt.f32 (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3))
(cbrt.f32 (.f32 (pow.f32 v 3) (pow.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (log.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 1))
(log1p.f32 (expm1.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))) 1)
(.f32 1 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (reciprocal.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 1)
(pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 2)
(pow.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) -1)
(log.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3) (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3)))
(reciprocal.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))
(exp.f32 (.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))

simplify241.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-r`
866×	`associate-l`
672×	`times-frac`
550×	`fma-neg`
490×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	21212
1	1805	20372
2	7901	20372

Stop Event

1×	node limit

Counts

473 → 412

Calls

Call 1

Inputs
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(*.f32 2 v)
(+.f32 (.f32 2 v) (.f32 1/3 (/.f32 1 v)))
(+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v)))
(+.f32 (.f32 1/2520 (/.f32 1 (pow.f32 v 5))) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))) 1)
(pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 3)
(pow.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 2)
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3))
(cbrt.f32 (*.f32 (pow.f32 v 6) (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) (pow.f32 v 6)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(exp.f32 (log.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(+.f32 (exp.f32 (reciprocal.f32 v)) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(+.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (fma.f32 (neg.f32 (sqrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (sqrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(+.f32 (fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(*.f32 1 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 2) (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(*.f32 (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (+.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 3) (pow.f32 (+.f32 1 (reciprocal.f32 v)) -3)) (+.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2) (+.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2) (exp.f32 (+.f32 (reciprocal.f32 v) (neg.f32 (log1p.f32 (reciprocal.f32 v))))))))
(pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1)
(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3)
(pow.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 2)
(log.f32 (exp.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(cbrt.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3))
(expm1.f32 (log1p.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(exp.f32 (log.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 1))
(log1p.f32 (expm1.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(fma.f32 1 (exp.f32 (reciprocal.f32 v)) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(fma.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (sqrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(-.f32 (exp.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v)))) 1)
(*.f32 1 (sinh.f32 (reciprocal.f32 v)))
(*.f32 (pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 2) (cbrt.f32 (sinh.f32 (reciprocal.f32 v))))
(*.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) (sqrt.f32 (sinh.f32 (reciprocal.f32 v))))
(/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) 2)
(pow.f32 (sinh.f32 (reciprocal.f32 v)) 1)
(pow.f32 (cbrt.f32 (sinh.f32 (reciprocal.f32 v))) 3)
(pow.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (sinh.f32 (reciprocal.f32 v))) 2)
(log.f32 (exp.f32 (sinh.f32 (reciprocal.f32 v))))
(log.f32 (+.f32 1 (expm1.f32 (sinh.f32 (reciprocal.f32 v)))))
(cbrt.f32 (pow.f32 (sinh.f32 (reciprocal.f32 v)) 3))
(expm1.f32 (log1p.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (reciprocal.f32 v))) 1))
(log1p.f32 (expm1.f32 (sinh.f32 (reciprocal.f32 v))))
(+.f32 0 (reciprocal.f32 v))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2))) (log.f32 (cbrt.f32 (exp.f32 (reciprocal.f32 v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v)))) (log.f32 (sqrt.f32 (exp.f32 (reciprocal.f32 v)))))
(-.f32 (+.f32 1 (reciprocal.f32 v)) 1)
(*.f32 1 (reciprocal.f32 v))
(*.f32 (cbrt.f32 (pow.f32 v -2)) (cbrt.f32 (reciprocal.f32 v)))
(*.f32 (sqrt.f32 (reciprocal.f32 v)) (sqrt.f32 (reciprocal.f32 v)))
(*.f32 (pow.f32 v -1/2) (pow.f32 v -1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) 2) -1) (pow.f32 (cbrt.f32 v) -1))
(*.f32 (pow.f32 (cbrt.f32 v) -2) (pow.f32 (cbrt.f32 (sqrt.f32 v)) -2))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 v)) -2) (pow.f32 (sqrt.f32 (sqrt.f32 v)) -2))
(/.f32 -1 (neg.f32 v))
(/.f32 1 v)
(/.f32 1 (/.f32 v 1))
(log.f32 (exp.f32 (reciprocal.f32 v)))
(log.f32 (+.f32 1 (expm1.f32 (reciprocal.f32 v))))
(cbrt.f32 (pow.f32 v -3))
(reciprocal.f32 v)
(reciprocal.f32 (/.f32 v 1))
(expm1.f32 (log1p.f32 (reciprocal.f32 v)))
(exp.f32 (log.f32 (reciprocal.f32 v)))
(exp.f32 (*.f32 (log.f32 v) -1))
(exp.f32 (*.f32 (log.f32 (reciprocal.f32 v)) 1))
(log1p.f32 (expm1.f32 (reciprocal.f32 v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 1)
(pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 1)
(pow.f32 (cbrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3)
(pow.f32 (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (sinh.f32 (reciprocal.f32 v))) v))
(log.f32 (+.f32 1 (expm1.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(cbrt.f32 (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3))
(cbrt.f32 (.f32 (pow.f32 v 3) (pow.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (log.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 1))
(log1p.f32 (expm1.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))) 1)
(.f32 1 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (reciprocal.f32 (.f32 v (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(.f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))) 2)) (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v)))))) (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 1)
(pow.f32 (cbrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))) 2)
(pow.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))) -1)
(log.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 2 (sinh.f32 (reciprocal.f32 v))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v))))) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3) (pow.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) 3)))
(reciprocal.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))
(exp.f32 (.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))

Outputs
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v)))
(-.f32 (-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (/.f32 1/6 (pow.f32 v 3))) (reciprocal.f32 v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 1 (reciprocal.f32 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (reciprocal.f32 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (+.f32 (/.f32 1/6 (pow.f32 v 3)) (reciprocal.f32 v)))
(-.f32 (-.f32 (+.f32 1 (/.f32 1/2 (pow.f32 v 2))) (/.f32 1/6 (pow.f32 v 3))) (reciprocal.f32 v))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (exp.f32 (/.f32 -1 v))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 v 2)) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(*.f32 2 v)
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(*.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(/.f32 (fma.f32 1/60 v (*.f32 (pow.f32 v 3) 1/3)) (pow.f32 v 4))
(/.f32 (-.f32 (pow.f32 (*.f32 1/60 (pow.f32 v -3)) 2) (pow.f32 (/.f32 1/3 v) 2)) (fma.f32 1/60 (pow.f32 v -3) (neg.f32 (/.f32 1/3 v))))
(/.f32 (-.f32 (pow.f32 (*.f32 1/60 (pow.f32 v -3)) 2) (pow.f32 (/.f32 1/3 v) 2)) (fma.f32 1/60 (pow.f32 v -3) (/.f32 -1/3 v)))
(/.f32 (-.f32 (.f32 (pow.f32 v -6) 1/3600) (.f32 (pow.f32 v -2) 1/9)) (fma.f32 1/60 (pow.f32 v -3) (/.f32 -1/3 v)))
(/.f32 (+.f32 (.f32 1/216000 (pow.f32 (pow.f32 v -3) 3)) (.f32 1/27 (pow.f32 v -3))) (+.f32 (pow.f32 (.f32 1/60 (pow.f32 v -3)) 2) (-.f32 (pow.f32 (/.f32 1/3 v) 2) (.f32 (*.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))))
(/.f32 (fma.f32 1/216000 (pow.f32 (pow.f32 v -3) 3) (.f32 (pow.f32 v -3) 1/27)) (+.f32 (pow.f32 (.f32 1/60 (pow.f32 v -3)) 2) (-.f32 (pow.f32 (/.f32 1/3 v) 2) (.f32 1/60 (.f32 (pow.f32 v -3) (/.f32 1/3 v))))))
(/.f32 (fma.f32 (pow.f32 v -3) 1/27 (.f32 1/216000 (pow.f32 (pow.f32 v -3) 3))) (+.f32 (.f32 (pow.f32 v -6) 1/3600) (-.f32 (.f32 (pow.f32 v -2) 1/9) (/.f32 (.f32 (pow.f32 v -3) 1/180) v))))
(pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 1)
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(pow.f32 (cbrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 3)
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(pow.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 3) 1/3)
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(pow.f32 (sqrt.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 2)
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(log.f32 (exp.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(cbrt.f32 (pow.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v)) 3))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(expm1.f32 (log1p.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(exp.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(exp.f32 (*.f32 (log.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))) 1))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(log1p.f32 (expm1.f32 (fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 1 (*.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 1 (/.f32 1/3 v) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 1/3 (reciprocal.f32 v) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 (pow.f32 (/.f32 (cbrt.f32 1/60) v) 2) (/.f32 (cbrt.f32 1/60) v) (/.f32 1/3 v))
(+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/3 v)) 2) (cbrt.f32 (/.f32 1/3 v)) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 (sqrt.f32 (.f32 1/60 (pow.f32 v -3))) (sqrt.f32 (.f32 1/60 (pow.f32 v -3))) (/.f32 1/3 v))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(fma.f32 (sqrt.f32 (/.f32 1/3 v)) (sqrt.f32 (/.f32 1/3 v)) (*.f32 1/60 (pow.f32 v -3)))
(fma.f32 1/60 (pow.f32 v -3) (/.f32 1/3 v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))) 1)
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 1)
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 3)
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(pow.f32 (pow.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3) 1/3)
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))) 2)
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(cbrt.f32 (*.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) (pow.f32 v 6)))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(log1p.f32 (expm1.f32 (*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))))
(*.f32 (pow.f32 v 2) (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(+.f32 (.f32 0 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))) (-.f32 (exp.f32 (reciprocal.f32 v)) (*.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1))) (fma.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1 (.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))) 1)))
(+.f32 (+.f32 (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
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(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (neg.f32 (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))) (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2)))) (fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (reciprocal.f32 v)) 2)) (cbrt.f32 (exp.f32 (reciprocal.f32 v))) (.f32 (cbrt.f32 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (neg.f32 (cbrt.f32 (pow.f32 (+.f32 1 (reciprocal.f32 v)) -2))))))
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(+.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) (*.f32 0 (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
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(*.f32 1 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))))
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
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(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
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(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
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(pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 1)
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
(pow.f32 (cbrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 3)
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
(pow.f32 (pow.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v)))) 3) 1/3)
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))) 2)
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
(log.f32 (exp.f32 (-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))))
(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
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(-.f32 (exp.f32 (reciprocal.f32 v)) (reciprocal.f32 (+.f32 1 (reciprocal.f32 v))))
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(expm1.f32 (log1p.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_i (/.f32 (pow.f32 v 2) cosTheta_O))))
(exp.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_i (/.f32 (pow.f32 v 2) cosTheta_O))))
(exp.f32 (.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)) (log.f32 (/.f32 (.f32 v (.f32 2 (sinh.f32 (reciprocal.f32 v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))) 1))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_i (/.f32 (pow.f32 v 2) cosTheta_O))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))))
(.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) v) (/.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (sinh.f32 (reciprocal.f32 v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O)) (/.f32 (*.f32 2 (sinh.f32 (reciprocal.f32 v))) (/.f32 cosTheta_i (/.f32 (pow.f32 v 2) cosTheta_O))))

eval431.0ms (2.2%)

Compiler: Compiled 14508 to 8084 computations (44.3% saved)

prune322.0ms (1.6%)

Pruning

70 alts after pruning (58 fresh and 12 done)

	Pruned	Kept	Total
New	668	18	686
Fresh	4	40	44
Picked	1	4	5
Done	0	8	8
Total	673	70	743

Accuracy

99.9%

Counts

743 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
	56.6%	(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
	60.3%	(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
✓	98.0%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
	98.6%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
✓	82.7%	(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
✓	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	78.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
	60.2%	(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
	65.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
	58.0%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
	55.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
	55.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
	63.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
	63.7%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
✓	59.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
	59.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
	59.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	65.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	59.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
	71.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
	59.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
	98.1%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (exp.f32 (/.f32 -1 v)))))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (/.f32 1/3 v)) 3) (exp.f32 (/.f32 -1 v)))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 -1 v)))))
	80.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
	94.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
	93.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
✓	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
✓	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
	82.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
	76.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
	73.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
	82.6%	(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
	60.3%	(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	56.6%	(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
✓	82.6%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	82.6%	(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
	55.7%	(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
	58.0%	(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
	60.3%	(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
✓	60.3%	(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	60.3%	(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	60.3%	(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
	60.3%	(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
✓	60.3%	(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
	60.3%	(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
	60.3%	(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	54.0%	(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))

Compiler

Compiled 3293 to 2065 computations (37.3% saved)

regimes569.0ms (2.9%)

Counts

98 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (reciprocal.f32 (exp.f32 (reciprocal.f32 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (reciprocal.f32 (exp.f32 (/.f32 -1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (/.f32 1 (exp.f32 (/.f32 -1 v))) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (.f32 2 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v))))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 1/2 (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (exp.f32 (/.f32 1 v)))))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (/.f32 1/3 v)) 3) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (pow.f32 (sqrt.f32 v) -2)) 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 3)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (sqrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_O v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 cosTheta_i v) (sqrt.f32 cosTheta_O)) (sqrt.f32 cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (sqrt.f32 cosTheta_i) 1) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 v cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 (+.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 1 (reciprocal.f32 v))) (/.f32 1/6 (pow.f32 v 3)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (log.f32 (exp.f32 (exp.f32 (/.f32 -1 v)))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 cosTheta_i)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (sqrt.f32 (/.f32 cosTheta_i v)) (sqrt.f32 cosTheta_O)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3/2)) 2)) (.f32 (.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (cbrt.f32 v))) (pow.f32 (cbrt.f32 v) 2))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2)) (/.f32 1 (exp.f32 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)))) 3) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) (sqrt.f32 v)))) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) 2) -1/2) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) -1/2)) 2)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))

Calls

8 calls:

184.0ms	sinTheta_O
87.0ms	cosTheta_i
53.0ms	v
51.0ms	cosTheta_O
50.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 1843 to 983 computations (46.7% saved)

regimes254.0ms (1.3%)

Counts

64 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (/.f32 1 v)) 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))

Calls

8 calls:

35.0ms	sinTheta_i
34.0ms	cosTheta_O
33.0ms	sinTheta_O
32.0ms	cosTheta_i
32.0ms	v

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 976 to 542 computations (44.5% saved)

regimes227.0ms (1.2%)

Counts

59 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))

Outputs
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))

Calls

7 calls:

35.0ms	sinTheta_O
31.0ms	cosTheta_i
31.0ms	sinTheta_i
30.0ms	v
30.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.6%	1	`v`

Compiler

Compiled 838 to 480 computations (42.7% saved)

regimes255.0ms (1.3%)

Counts

58 → 2

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (*.f32 2 (sinh.f32 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) 1)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 1))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (-.f32 1 (reciprocal.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (reciprocal.f32 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (/.f32 1 (+.f32 1 (/.f32 1 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 2 (/.f32 1/3 (pow.f32 v 2))))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (sinh.f32 (reciprocal.f32 v)))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (reciprocal.f32 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (sinh.f32 (reciprocal.f32 v)) (*.f32 v 2)))
(/.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 v (*.f32 (sinh.f32 (reciprocal.f32 v)) 2)))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))
(/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i))

Calls

7 calls:

67.0ms	v
31.0ms	sinTheta_i
31.0ms	cosTheta_O
31.0ms	sinTheta_O
30.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
82.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
82.7%	1	`cosTheta_i`
82.7%	1	`cosTheta_O`
82.7%	1	`sinTheta_i`
82.7%	1	`sinTheta_O`
86.2%	2	`v`
82.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 816 to 472 computations (42.2% saved)

regimes178.0ms (0.9%)

Counts

46 → 2

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))

Outputs

(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))

(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (*.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))

Calls

6 calls:

46.0ms	v
24.0ms	sinTheta_O
24.0ms	sinTheta_i
24.0ms	cosTheta_i
23.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
76.7%	1	`sinTheta_i`
76.7%	1	`cosTheta_O`
76.7%	1	`sinTheta_O`
76.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
76.7%	1	`cosTheta_i`
83.0%	2	`v`

Compiler

Compiled 591 to 359 computations (39.3% saved)

regimes183.0ms (0.9%)

Counts

45 → 2

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))

Outputs

(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v))))

(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (*.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))

Calls

6 calls:

45.0ms	v
27.0ms	sinTheta_i
25.0ms	sinTheta_O
25.0ms	cosTheta_i
23.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
73.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.4%	1	`cosTheta_O`
73.4%	1	`sinTheta_i`
73.4%	1	`sinTheta_O`
73.4%	1	`cosTheta_i`
79.7%	2	`v`

Compiler

Compiled 579 to 352 computations (39.2% saved)

regimes204.0ms (1%)

Counts

44 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (+.f32 (.f32 2 v) (.f32 1/60 (/.f32 1 (pow.f32 v 3))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (.f32 2 v)) (+.f32 1/2 (.f32 23/24 (/.f32 1 (pow.f32 v 2))))))
(.f32 1/2 (log.f32 (exp.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(.f32 1/2 (sqrt.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2)))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))

Calls

6 calls:

31.0ms	sinTheta_O
24.0ms	cosTheta_i
23.0ms	cosTheta_O
22.0ms	sinTheta_i
22.0ms	v

Results

Accuracy	Segments	Branch
71.7%	1	`sinTheta_i`
71.7%	1	`cosTheta_O`
71.7%	1	`cosTheta_i`
71.7%	1	`sinTheta_O`
71.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.7%	1	`v`

Compiler

Compiled 568 to 347 computations (38.9% saved)

regimes184.0ms (0.9%)

Counts

38 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))

Calls

6 calls:

64.0ms	v
27.0ms	sinTheta_O
21.0ms	sinTheta_i
19.0ms	cosTheta_i
19.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
71.7%	1	`sinTheta_O`
71.7%	1	`v`
71.7%	1	`cosTheta_O`
71.7%	1	`sinTheta_i`
71.7%	1	`cosTheta_i`
71.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 464 to 277 computations (40.3% saved)

regimes128.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (pow.f32 v -3) 1/60) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 2 v))))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))

Calls

6 calls:

20.0ms	cosTheta_i
20.0ms	v
20.0ms	sinTheta_i
19.0ms	cosTheta_O
19.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.7%	1	`sinTheta_O`
71.7%	1	`v`
71.7%	1	`sinTheta_i`
71.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.7%	1	`cosTheta_i`
71.7%	1	`cosTheta_O`

Compiler

Compiled 444 to 263 computations (40.8% saved)

regimes168.0ms (0.9%)

Counts

34 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (fma.f32 v 2 -1/2) (/.f32 7/6 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 v -3)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (/.f32 1/3 v)))
(fma.f32 -3/20 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 3 (.f32 cosTheta_O (.f32 v cosTheta_i))))
(fma.f32 3 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 -3/20 cosTheta_O) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (reciprocal.f32 (/.f32 (pow.f32 v 3) 1/60)) (/.f32 1/3 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (reciprocal.f32 (/.f32 v 1/3))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (/.f32 1/60 (pow.f32 v 3)) (.f32 1/3 (reciprocal.f32 v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/3 (/.f32 1 v)) (*.f32 1/60 (/.f32 1 (pow.f32 v 3)))))

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))

Calls

6 calls:

65.0ms	cosTheta_i
19.0ms	sinTheta_O
19.0ms	sinTheta_i
19.0ms	cosTheta_O
18.0ms	v

Results

Accuracy	Segments	Branch
65.7%	1	`cosTheta_i`
65.7%	1	`sinTheta_i`
65.7%	1	`sinTheta_O`
65.7%	1	`cosTheta_O`
65.7%	1	`v`
65.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 387 to 224 computations (42.1% saved)

regimes87.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(+.f32 (.f32 -3/20 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 3 (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (.f32 7/6 (/.f32 1 v)) (*.f32 2 v)) 1/2))
(.f32 60 (.f32 cosTheta_O (*.f32 (pow.f32 v 3) cosTheta_i)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/60 (pow.f32 v 3)))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))

Calls

6 calls:

15.0ms	cosTheta_i
14.0ms	cosTheta_O
14.0ms	sinTheta_O
13.0ms	sinTheta_i
13.0ms	v

Results

Accuracy	Segments	Branch
65.7%	1	`cosTheta_i`
65.7%	1	`cosTheta_O`
65.7%	1	`v`
65.7%	1	`sinTheta_i`
65.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.7%	1	`sinTheta_O`

Compiler

Compiled 237 to 139 computations (41.4% saved)

regimes123.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(.f32 1/2 (.f32 cosTheta_O (reciprocal.f32 (/.f32 v cosTheta_i))))
(.f32 1/2 (.f32 (*.f32 cosTheta_O cosTheta_i) (reciprocal.f32 v)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_O v) (reciprocal.f32 cosTheta_i)))
(*.f32 1/2 (/.f32 (/.f32 cosTheta_i v) (reciprocal.f32 cosTheta_O)))
(.f32 1/2 (.f32 (reciprocal.f32 v) (/.f32 cosTheta_i (reciprocal.f32 cosTheta_O))))

Outputs
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))

Calls

6 calls:

57.0ms	cosTheta_O
15.0ms	v
12.0ms	sinTheta_i
10.0ms	cosTheta_i
10.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
60.3%	1	`cosTheta_O`
60.3%	1	`cosTheta_i`
60.3%	1	`v`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`sinTheta_i`
60.3%	1	`sinTheta_O`

Compiler

Compiled 176 to 103 computations (41.5% saved)

regimes54.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(/.f32 (*.f32 1/2 cosTheta_i) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1/3 v))
(/.f32 (*.f32 cosTheta_i 1/2) (/.f32 v cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i 1/2) cosTheta_O) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1/2) v)

Outputs
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))

Calls

6 calls:

9.0ms	sinTheta_O
9.0ms	sinTheta_i
9.0ms	v
8.0ms	(*.f32 cosTheta_i cosTheta_O)
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.3%	1	`cosTheta_i`
60.3%	1	`sinTheta_O`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`cosTheta_O`
60.3%	1	`v`
60.3%	1	`sinTheta_i`

Compiler

Compiled 127 to 80 computations (37% saved)

regimes39.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 1/2 (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 3 (.f32 cosTheta_O (*.f32 v cosTheta_i)))
(.f32 (.f32 1/2 cosTheta_O) (/.f32 cosTheta_i v))

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

Calls

6 calls:

10.0ms	sinTheta_O
7.0ms	cosTheta_i
7.0ms	cosTheta_O
5.0ms	v
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
60.3%	1	`sinTheta_O`
60.3%	1	`sinTheta_i`
60.3%	1	`v`
60.3%	1	`cosTheta_O`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`cosTheta_i`

Compiler

Compiled 85 to 60 computations (29.4% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Calls

5 calls:

5.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
60.3%	1	`sinTheta_O`
60.3%	1	`cosTheta_i`
60.3%	1	`cosTheta_O`
60.3%	1	`v`
60.3%	1	`sinTheta_i`

Compiler

Compiled 42 to 34 computations (19% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.24148191511631012	0.24278518557548523

Compiler

Compiled 35 to 26 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45302894711494446	0.45548883080482483

Compiler

Compiled 35 to 26 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.45302894711494446	0.45548883080482483

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
26×	`+-commutative`
16×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1044
1	144	1044
2	164	1044
3	180	1044
4	187	1044
5	189	1044

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(if (<=.f32 v 16240345/67108864) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i)))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v)))))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))

Outputs
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (-.f32 (exp.f32 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 1 v)) 2) v))
(/.f32 (.f32 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v)))))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 v (*.f32 2 (sinh.f32 (/.f32 1 v)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 v 2)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))) (.f32 v 2)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 v 2)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 1 v))) (/.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 v 2)))
(if (<=.f32 v 16240345/67108864) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 cosTheta_O (/.f32 (.f32 (.f32 2 (sinh.f32 (reciprocal.f32 v))) (pow.f32 v 2)) cosTheta_i)))
(if (<=.f32 v 16240345/67108864) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 cosTheta_O (/.f32 (.f32 (pow.f32 v 2) (.f32 2 (sinh.f32 (reciprocal.f32 v)))) cosTheta_i)))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v)))))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 (/.f32 1 v) 1/3) (.f32 v 2)))))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v)))))
(if (<=.f32 v 15267267/33554432) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 v 2) (exp.f32 (reciprocal.f32 v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 (/.f32 1 v) 1/3) (.f32 v 2)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (pow.f32 (reciprocal.f32 v) 3)) (+.f32 (.f32 (/.f32 1 v) 1/3) (.f32 v 2))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (reciprocal.f32 (pow.f32 v 3))) (+.f32 (.f32 1/3 (/.f32 1 v)) (.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (+.f32 (.f32 (/.f32 1 v) 1/3) (.f32 v 2)) (.f32 1/60 (reciprocal.f32 (pow.f32 v 3)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (/.f32 1/3 v) (*.f32 2 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 1/60 (/.f32 1 (pow.f32 v 3))) (+.f32 (*.f32 v 2) (/.f32 1/3 v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 v 2 (/.f32 1/3 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 2 v) (*.f32 1/3 (/.f32 1 v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (/.f32 1 v) 1/3) (*.f32 v 2)))
(*.f32 1/2 (reciprocal.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 1/2 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
(*.f32 1/2 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 1/2 (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) 1/2)

Compiler

Compiled 347 to 259 computations (25.4% saved)

soundness3.7s (18.9%)

Rules

1564×	`log-prod`
1564×	`log-prod`
1564×	`log-prod`
1564×	`log-prod`
1478×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	2026
1	532	1982
2	1902	1902
3	6878	1902
0	33	258
1	476	226
2	5743	226
0	761	18189
1	1794	17385
2	7132	17379
0	935	40658
1	2710	38211
0	761	18189
1	1794	17385
2	7132	17379
0	33	258
1	476	226
2	5743	226
0	33	258
1	476	226
2	5743	226
0	761	18189
1	1794	17385
2	7132	17379
0	53	338
1	875	334
0	53	338
1	875	334
0	761	18189
1	1794	17385
2	7132	17379
0	724	21212
1	1805	20372
2	7901	20372
0	46	367
1	786	359
0	935	40658
1	2710	38211
0	580	18555
1	1505	17135
2	6179	16607
0	46	367
1	786	359

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

Compiler

Compiled 1900 to 1034 computations (45.6% saved)

end1.0ms (0%)

preprocess431.0ms (2.2%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 2896 to 2148 computations (25.8% saved)

analyze1.0ms (0%)

sample3.8s (19.3%)

preprocess337.0ms (1.7%)

eval5.0ms (0%)

prune10.0ms (0.1%)

localize618.0ms (3.2%)

series149.0ms (0.8%)

rewrite486.0ms (2.5%)

simplify334.0ms (1.7%)

eval251.0ms (1.3%)

prune250.0ms (1.3%)

localize860.0ms (4.4%)

series51.0ms (0.3%)

rewrite215.0ms (1.1%)

simplify234.0ms (1.2%)

eval856.0ms (4.4%)

prune423.0ms (2.2%)

localize698.0ms (3.6%)

series61.0ms (0.3%)

rewrite111.0ms (0.6%)

simplify212.0ms (1.1%)

eval345.0ms (1.8%)

prune387.0ms (2%)

localize860.0ms (4.4%)

series106.0ms (0.5%)

rewrite125.0ms (0.6%)

simplify241.0ms (1.2%)

eval431.0ms (2.2%)

prune322.0ms (1.6%)

regimes569.0ms (2.9%)

regimes254.0ms (1.3%)

regimes227.0ms (1.2%)

regimes255.0ms (1.3%)

regimes178.0ms (0.9%)

regimes183.0ms (0.9%)

regimes204.0ms (1%)

regimes184.0ms (0.9%)

regimes128.0ms (0.7%)

regimes168.0ms (0.9%)

regimes87.0ms (0.4%)

regimes123.0ms (0.6%)

regimes54.0ms (0.3%)

regimes39.0ms (0.2%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify39.0ms (0.2%)

soundness3.7s (18.9%)

end1.0ms (0%)

preprocess431.0ms (2.2%)

Profiling