Metrics for HairBSDF, Mp, lower

analyze689.0ms (4.1%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

sample2.6s (15.5%)

Results

2.6s	8256×	body	256	valid
37.0ms	153×	body	256	invalid

Bogosity

preprocess281.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

557×	`distribute-neg-in`
375×	`times-frac`
369×	`associate-+l-`
310×	`associate-+l+`
290×	`associate-+r-`

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1205
1	464	1129
2	1361	1037
3	5964	1037

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 169 to 80 computations (52.7% saved)

eval2.0ms (0%)

Compiler: Compiled 164 to 95 computations (42.1% saved)

prune5.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
▶	99.8%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	100.0%	(binary64->binary32 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))
▶	99.8%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
▶	99.8%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	100.0%	(binary64->binary32 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))

Compiler

Compiled 182 to 128 computations (29.7% saved)

localize536.0ms (3.2%)

Localize:

Found 24 expressions with local error:

New	Accuracy	Program
	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
	99.9%	(+.f32 (/.f32 -1 v) 6931/10000)
	100.0%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
	100.0%	(+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))
	99.9%	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
	99.9%	(log.f32 (/.f32 1/2 v))
	100.0%	(+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))
	99.6%	(-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))
	99.6%	(+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)
	99.9%	(+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
	99.9%	(.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v)))
✓	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.8%	(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
✓	99.5%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.3%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	99.9%	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	99.8%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.4%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.3%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	99.6%	(-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))
✓	99.4%	(exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
✓	99.2%	(*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))
✓	99.2%	(*.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O))

Compiler

Compiled 403 to 140 computations (65.3% saved)

series100.0ms (0.6%)

Counts

12 → 516

Calls

144 calls:

Time	Variable		Point	Expression
22.0ms	sinTheta_i	@	0	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
9.0ms	cosTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
4.0ms	sinTheta_O	@	0	(exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
3.0ms	sinTheta_O	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
3.0ms	v	@	inf	(/.f32 sinTheta_i (/.f32 v sinTheta_O))

rewrite251.0ms (1.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

2060×	`frac-add`
521×	`frac-2neg`
198×	`sub-div`
168×	`frac-times`
92×	`div-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	418
1	331	378
2	3662	360

Stop Event

1×	node limit

Counts

12 → 423

Calls

Call 1

Inputs
(*.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O))
(*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))
(exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))

Outputs
(/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)))
(/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)))
(/.f64 -1 (neg.f64 (/.f64 (binary32->binary64 v) (*.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)))))
(/.f64 1 (/.f64 (binary32->binary64 v) (*.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O))))
(/.f64 (neg.f64 (binary32->binary64 cosTheta_i)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))))
(/.f64 (*.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (binary32->binary64 v))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O))) (neg.f64 (binary32->binary64 v)))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) 1) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (neg.f64 (binary32->binary64 cosTheta_i))) (neg.f64 (binary32->binary64 v)))
(/.f64 (*.f64 1 (binary32->binary64 cosTheta_O)) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)))
(/.f64 (*.f64 (neg.f64 (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O)) (neg.f64 (binary32->binary64 v)))
(/.f64 (neg.f64 (binary32->binary64 cosTheta_O)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 cosTheta_O) 1)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 cosTheta_O) (neg.f64 (binary32->binary64 cosTheta_i)))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(/.f64 (neg.f64 (*.f64 1 (binary32->binary64 cosTheta_O))) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(/.f64 (binary32->binary64 sinTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_i)))
(/.f64 (binary32->binary64 sinTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O)))
(/.f64 -1 (neg.f64 (/.f64 (binary32->binary64 v) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))))
(/.f64 1 (/.f64 (binary32->binary64 v) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))))
(/.f64 (neg.f64 (binary32->binary64 sinTheta_O)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_i))))
(/.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)) (binary32->binary64 v))
(/.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (neg.f64 (binary32->binary64 v)))
(/.f64 (*.f64 (binary32->binary64 sinTheta_i) 1) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O)))
(/.f64 (*.f64 (binary32->binary64 sinTheta_i) (neg.f64 (binary32->binary64 sinTheta_O))) (neg.f64 (binary32->binary64 v)))
(/.f64 (*.f64 1 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O)))
(/.f64 (*.f64 (neg.f64 (binary32->binary64 sinTheta_O)) (binary32->binary64 sinTheta_i)) (neg.f64 (binary32->binary64 v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 sinTheta_i) 1)) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))))
(/.f64 (neg.f64 (*.f64 (binary32->binary64 sinTheta_i) (neg.f64 (binary32->binary64 sinTheta_O)))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(/.f64 (neg.f64 (*.f64 1 (binary32->binary64 sinTheta_i))) (neg.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (binary32->binary64 sinTheta_O)) (binary32->binary64 sinTheta_i))) (neg.f64 (neg.f64 (binary32->binary64 v))))
(.f64 (exp.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))) (exp.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(.f64 (exp.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)) (exp.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))))
(.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (/.f64 -1 (binary32->binary64 v)))) (exp.f64 6931/10000))
(/.f64 (exp.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)))) (exp.f64 (-.f64 (/.f64 (-.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)) -1) (binary32->binary64 v)) 6931/10000)))
(/.f64 (neg.f64 (exp.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))))) (neg.f64 (exp.f64 (-.f64 (/.f64 (-.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)) -1) (binary32->binary64 v)) 6931/10000))))
(+.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))) (*.f64 (binary32->binary64 sinTheta_i) (neg.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)))))
(+.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))) (+.f64 (.f64 (binary32->binary64 sinTheta_i) (neg.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)))) (fma.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))))
(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (fma.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))))
(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (fma.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (fma.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))))
(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (fma.f64 (neg.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v))) (binary32->binary64 sinTheta_i) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))))
(+.f64 (*.f64 (binary32->binary64 sinTheta_i) (neg.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)))) (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))))
(+.f64 (fma.f64 (neg.f64 (binary32->binary64 sinTheta_i)) (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)))
(.f64 (-.f64 (pow.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))) 2) (pow.f64 (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)) 2)) (/.f64 1 (fma.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i)))))
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(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (*.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) 1) v)) 3) (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) 1) v)) (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) 1) v))) (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 (+.f32 6931/10000 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) 1) v)) (log.f32 (/.f32 1/2 v))))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3)) (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (+.f32 (.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 -1 (neg.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 1 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 1 (/.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1))
(/.f32 (/.f32 cosTheta_i v) (/.f32 1 cosTheta_O))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i 1) (/.f32 v cosTheta_O))
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (neg.f32 (/.f32 v cosTheta_O))))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O 1) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 1 cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
(neg.f32 (/.f32 cosTheta_i (neg.f32 (/.f32 v cosTheta_O))))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 -1 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(/.f32 1 (/.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) 1))
(/.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 v) sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (/.f32 sinTheta_i v) (/.f32 1 sinTheta_O))
(/.f32 (*.f32 1 sinTheta_i) (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i 1) (/.f32 v sinTheta_O))
(/.f32 (neg.f32 (neg.f32 sinTheta_i)) (neg.f32 (/.f32 (neg.f32 v) sinTheta_O)))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) -1)
(neg.f32 (/.f32 sinTheta_i (/.f32 (neg.f32 v) sinTheta_O)))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
(+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (/.f32 (neg.f32 sinTheta_O) v) sinTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(+.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v))
(.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (/.f32 1 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 3)) (/.f32 1 (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(/.f32 1 (/.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 3)) (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 v sinTheta_O)) (.f32 (/.f32 v cosTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 v cosTheta_O) 1)) (.f32 (/.f32 v cosTheta_O) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 v) sinTheta_O)) (.f32 (/.f32 v cosTheta_O) (neg.f32 sinTheta_i))) (*.f32 (/.f32 v cosTheta_O) (/.f32 (neg.f32 v) sinTheta_O)))
(/.f32 (-.f32 (.f32 cosTheta_i v) (.f32 (/.f32 v cosTheta_O) (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 v cosTheta_O) v))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) sinTheta_i)) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 1 (/.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1)) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (.f32 1 (/.f32 (neg.f32 v) sinTheta_O)) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 (neg.f32 v) sinTheta_O)))
(/.f32 (-.f32 (.f32 1 v) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 v sinTheta_O)) (.f32 (neg.f32 (/.f32 v cosTheta_O)) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) 1)) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 v) sinTheta_O)) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 (neg.f32 v) sinTheta_O)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) v) (.f32 (neg.f32 (/.f32 v cosTheta_O)) (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 (/.f32 v cosTheta_O)) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v sinTheta_O)) (.f32 v sinTheta_i)) (/.f32 (.f32 v v) sinTheta_O))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 v (.f32 sinTheta_O sinTheta_i))) v) (.f32 v (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (neg.f32 v) sinTheta_O)) (.f32 v (neg.f32 sinTheta_i))) (.f32 v (/.f32 (neg.f32 v) sinTheta_O)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))) (neg.f32 (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) 2) (.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 3) (pow.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) 3)) (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) 2) (-.f32 (.f32 (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) 3) (pow.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)) (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) 2) (-.f32 (.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_i (neg.f32 sinTheta_O))) (neg.f32 v))
(/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (neg.f32 (.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (.f32 sinTheta_i (neg.f32 sinTheta_O))) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 (.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 sinTheta_i (neg.f32 sinTheta_O))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v)))
(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 6931/10000))
(/.f32 (exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) -1) v) 6931/10000)))

Calls

36 calls:

9.0ms	(+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))
1.0ms	(*.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O))
0.0ms	(*.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O))
0.0ms	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
0.0ms	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))

simplify334.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1222×	`times-frac`
414×	`fma-def`
413×	`cancel-sign-sub-inv`
368×	`distribute-lft-neg-in`
331×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1242	41623
1	3629	40843

Stop Event

1×	node limit

Counts

939 → 701

Calls

Call 1

Inputs
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
(/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))
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(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(binary64->binary32 (+.f64 (-.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))) (+.f64 (/.f64 (binary32->binary64 sinTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))) (/.f64 1 (binary32->binary64 v)))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 -1 v) 6931/10000)))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 -1 v) 6931/10000)))
(binary64->binary32 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
(binary64->binary32 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))

Outputs
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(*.f32 (/.f32 sinTheta_i 1) (/.f32 sinTheta_O v))
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(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 6931/10000 (/.f32 -1 v)))))
(binary64->binary32 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(binary64->binary32 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 -1 v) 6931/10000)))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 -1 v))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 -1 v) 6931/10000)))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 -1 v))))
(binary64->binary32 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
(binary64->binary32 (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))
(binary64->binary32 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))))

eval396.0ms (2.3%)

Compiler: Compiled 27796 to 12346 computations (55.6% saved)

prune201.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	689	12	701
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	692	12	704

Accuracy

100.0%

Counts

704 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.8%	(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.0%	(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	4.5%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	100.0%	(.f32 (binary64->binary32 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))) (/.f32 1/2 v))
▶	97.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	13.1%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	100.0%	(binary64->binary32 (.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.8%	(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
	99.0%	(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	4.5%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	100.0%	(.f32 (binary64->binary32 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))) (/.f32 1/2 v))
▶	97.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	13.1%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	100.0%	(binary64->binary32 (.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))

Compiler

Compiled 1688 to 1104 computations (34.6% saved)

localize609.0ms (3.6%)

Localize:

Found 32 expressions with local error:

New	Accuracy	Program
	99.9%	(sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
	100.0%	(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	100.0%	(.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
	100.0%	(+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))
	99.9%	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
	99.9%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.9%	(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
	99.9%	(log.f32 (/.f32 1/2 v))
	99.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
	100.0%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)
	100.0%	(*.f32 sinTheta_O sinTheta_i)
	98.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
	99.6%	(+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)
	99.7%	(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
	99.9%	(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
	99.9%	(.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v)))
	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))
	99.8%	(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
	99.5%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
	99.3%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	99.9%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.9%	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
✓	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	100.0%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)
✓	99.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
✓	98.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
✓	99.9%	(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
✓	99.7%	(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
✓	99.6%	(+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)
✓	99.4%	(exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))

Compiler

Compiled 495 to 191 computations (61.4% saved)

series46.0ms (0.3%)

Counts

12 → 196

Calls

123 calls:

Time	Variable		Point	Expression
8.0ms	cosTheta_i	@	inf	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
2.0ms	sinTheta_O	@	inf	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)
1.0ms	cosTheta_i	@	-inf	(exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
1.0ms	v	@	-inf	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
1.0ms	sinTheta_O	@	0	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))

rewrite434.0ms (2.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

2530×	`frac-add`
109×	`frac-times`
101×	`sub-div`
65×	`frac-2neg`
62×	`div-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	382
1	234	370
2	2334	360

Stop Event

1×	node limit

Counts

12 → 640

Calls

Call 1

Inputs
(exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)
(*.f32 sinTheta_O sinTheta_i)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))

Outputs
(.f64 (exp.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))) (exp.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(.f64 (exp.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)) (exp.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))))
(.f64 (exp.f64 (.f64 (/.f64 1 (binary32->binary64 v)) (+.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) -1))) (exp.f64 6931/10000))
(-.f64 (/.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)) (/.f64 48038761/100000000 (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)))
(*.f64 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) -48038761/100000000) (/.f64 1 (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 (binary32->binary64 v) 3)) 332956652491/1000000000000) (/.f64 1 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) (-.f64 48038761/100000000 (/.f64 -6931/10000 (binary32->binary64 v))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000) (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) -48038761/100000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) (-.f64 48038761/100000000 (/.f64 -6931/10000 (binary32->binary64 v)))) (+.f64 (/.f64 -1 (pow.f64 (binary32->binary64 v) 3)) 332956652491/1000000000000)))
(/.f64 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) -48038761/100000000) (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000))
(/.f64 (+.f64 (/.f64 -1 (pow.f64 (binary32->binary64 v) 3)) 332956652491/1000000000000) (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) (-.f64 48038761/100000000 (/.f64 -6931/10000 (binary32->binary64 v)))))
(/.f64 (+.f64 (/.f64 -1 (pow.f64 (binary32->binary64 v) 3)) 332956652491/1000000000000) (+.f64 48038761/100000000 (/.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000) (neg.f64 (binary32->binary64 v)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) -48038761/100000000)) (neg.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)))
(/.f64 (neg.f64 (+.f64 (/.f64 -1 (pow.f64 (binary32->binary64 v) 3)) 332956652491/1000000000000)) (neg.f64 (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) (-.f64 48038761/100000000 (/.f64 -6931/10000 (binary32->binary64 v))))))
(/.f64 (-.f64 48038761/100000000 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2)) (-.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))
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(-.f64 (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O))) (/.f64 (binary32->binary64 sinTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))))
(.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (/.f64 1 (binary32->binary64 v)))
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(neg.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (neg.f64 (binary32->binary64 v))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (-.f64 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) -1) (binary32->binary64 v)) 6931/10000)) (/.f64 (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 2) (-.f64 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) -1) (binary32->binary64 v)) 6931/10000)))
(-.f64 (+.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (/.f64 (binary32->binary64 cosTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)))) (/.f64 (binary32->binary64 sinTheta_i) (/.f64 (binary32->binary64 v) (binary32->binary64 sinTheta_O))))
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(.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 3) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (-.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)))))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) -1) (binary32->binary64 v)) 6931/10000) (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (-.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))))) (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 3) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 2)) (-.f64 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) -1) (binary32->binary64 v)) 6931/10000))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 3) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (-.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 3) (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000) 2) (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) 2) (.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)) (.f64 (binary32->binary64 v) (+.f64 (pow.f64 (/.f64 -1 (binary32->binary64 v)) 2) -48038761/100000000))) (*.f64 (binary32->binary64 v) (+.f64 (/.f64 -1 (binary32->binary64 v)) -6931/10000)))
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(/.f32 (+.f32 (.f32 cosTheta_i (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (/.f32 v cosTheta_O) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (/.f32 v cosTheta_O) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
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(/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 v (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (.f32 v (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 v (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 v (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 1 (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 1 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 1 (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1) (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (*.f32 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1) (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 1 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 (neg.f32 v) (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (.f32 (neg.f32 v) (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (neg.f32 v) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (neg.f32 v) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1) (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 v (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (*.f32 v (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) 1) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 v (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 v (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
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(/.f32 (+.f32 (.f32 (neg.f32 cosTheta_O) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (neg.f32 (/.f32 v cosTheta_i)) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (neg.f32 (/.f32 v cosTheta_i)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (neg.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O))) (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 (neg.f32 (neg.f32 v)) (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (.f32 (neg.f32 (neg.f32 v)) (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 (neg.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O))) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (neg.f32 (neg.f32 v)) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (neg.f32 (neg.f32 v)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -1) (+.f32 (log.f32 1/2) (log.f32 v))) (.f32 (neg.f32 v) (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))))) (*.f32 (neg.f32 v) (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) -1) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v))))) (.f32 (neg.f32 v) (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)))) (.f32 (neg.f32 v) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (/.f32 v cosTheta_O)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) cosTheta_i)) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (/.f32 v cosTheta_O)))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (/.f32 v cosTheta_i)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) cosTheta_O)) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (/.f32 v cosTheta_i)))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) -1)) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) v) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (.f32 cosTheta_i cosTheta_O))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) v))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) 1)) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) 1)) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1)))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (neg.f32 v)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (.f32 cosTheta_i (neg.f32 cosTheta_O)))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 v)))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) v) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (.f32 (.f32 cosTheta_i cosTheta_O) 1))) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) v))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (neg.f32 (/.f32 v cosTheta_i))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 cosTheta_O))) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 (/.f32 v cosTheta_i))))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (neg.f32 (neg.f32 v))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O))))) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 (neg.f32 v))))
(/.f32 (+.f32 (.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (neg.f32 v)) (.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (.f32 (.f32 cosTheta_i cosTheta_O) -1))) (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (neg.f32 v)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (/.f32 v cosTheta_O)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) cosTheta_i)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (/.f32 v cosTheta_O)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (/.f32 v cosTheta_i)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) cosTheta_O)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (/.f32 v cosTheta_i)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) -1)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O))))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) v) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (.f32 cosTheta_i cosTheta_O))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) v))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) 1)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) 1)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (/.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) 1)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (neg.f32 v)) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (.f32 cosTheta_i (neg.f32 cosTheta_O)))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 v)))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) v) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) 1))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) v))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (neg.f32 (/.f32 v cosTheta_i))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 cosTheta_O))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 (/.f32 v cosTheta_i))))
(/.f32 (+.f32 (.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (neg.f32 (neg.f32 v))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O))))) (.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (.f32 (log.f32 1/2) (log.f32 v)))) (neg.f32 (neg.f32 v))))
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(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) (log.f32 (/.f32 1/2 v)))

Calls

40 calls:

1.0ms	(exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
0.0ms	(exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
0.0ms	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
0.0ms	(+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)
0.0ms	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))

simplify761.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

911×	`*-commutative`
705×	`+-commutative`
626×	`fma-def`
602×	`associate-/r*`
339×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2433	87294
1	7701	87280

Stop Event

1×	node limit

Counts

836 → 892

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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1
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1
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(binary32->binary64 (binary64->binary32 (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
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(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
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Outputs
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
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(/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))
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(binary64->binary32 (binary32->binary64 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(binary64->binary32 (binary32->binary64 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(binary64->binary32 (*.f64 (exp.f64 6931/10000) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
(binary64->binary32 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i -1) (*.f32 sinTheta_O sinTheta_i)) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i -1) (*.f32 sinTheta_O sinTheta_i)) v)))
(binary64->binary32 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (+.f64 1 (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (binary32->binary64 v)))
(binary64->binary32 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) 1) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i -1) (*.f32 sinTheta_O sinTheta_i)) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i -1) (*.f32 sinTheta_O sinTheta_i)) v))))
(binary64->binary32 (exp.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (+.f64 1 (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (binary32->binary64 v))))
(binary64->binary32 (exp.f64 (/.f64 (-.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) 1) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(binary64->binary32 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
(binary64->binary32 (+.f64 6931/10000 (-.f64 (+.f64 (*.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v))) (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
(binary64->binary32 (+.f64 (*.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v))) (log.f64 (/.f64 1/2 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (+.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))))
(binary64->binary32 (+.f64 6931/10000 (+.f64 (*.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v))) (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))
(binary64->binary32 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(binary64->binary32 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v))))))
(binary64->binary32 (.f64 (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))))
(binary64->binary32 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (.f64 (.f64 (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (+.f32 6931/10000 (/.f32 -1 v)))))))
(binary64->binary32 (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))))
(binary64->binary32 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))))

eval1.5s (8.7%)

Compiler: Compiled 74898 to 34240 computations (54.3% saved)

prune398.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1357	9	1366
Fresh	4	3	7
Picked	5	0	5
Done	0	0	0
Total	1366	12	1378

Accuracy

100.0%

Counts

1378 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.0%	(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
	99.8%	(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	13.1%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	16.4%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	100.0%	(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
	6.4%	1
	92.0%	(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
	99.8%	(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
▶	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	13.1%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	16.4%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	100.0%	(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
	6.4%	1

Compiler

Compiled 1360 to 948 computations (30.3% saved)

localize600.0ms (3.6%)

Localize:

Found 32 expressions with local error:

New	Accuracy	Program
	99.9%	(sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	100.0%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	100.0%	(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))
	100.0%	(+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))
	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	99.9%	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
	99.9%	(log.f32 (/.f32 1/2 v))
	99.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
	99.8%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	99.4%	(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
	99.5%	(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
	99.6%	(+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))
	99.9%	(log.f64 (/.f64 1/2 (binary32->binary64 v)))
	99.8%	(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
	99.5%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
	99.3%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.9%	(log.f32 (/.f32 1/2 v))
✓	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	99.9%	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
✓	99.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
✓	99.8%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	99.6%	(+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))
✓	99.5%	(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
✓	99.4%	(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
✓	99.3%	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))

Compiler

Compiled 450 to 197 computations (56.2% saved)

series128.0ms (0.8%)

Counts

12 → 156

Calls

84 calls:

Time	Variable		Point	Expression
35.0ms	v	@	inf	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
21.0ms	v	@	0	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
15.0ms	v	@	-inf	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
13.0ms	v	@	0	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
9.0ms	v	@	-inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))

rewrite250.0ms (1.5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1633×	`frac-add`
1264×	`frac-sub`
631×	`frac-2neg`
158×	`swap-sqr`
103×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	352
1	195	352
2	1750	336

Stop Event

1×	node limit

Counts

12 → 597

Calls

Call 1

Inputs
(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
(-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
(+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(log.f32 (/.f32 1/2 v))

Outputs
(-.f64 (/.f64 48038761/100000000 (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))) (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2) (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))))
(.f64 (-.f64 48038761/100000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2)) (/.f64 1 (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))))
(.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3)) (/.f64 1 (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000)))))
(/.f64 1 (/.f64 (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)))) (-.f64 48038761/100000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2))))
(/.f64 1 (/.f64 (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000))) (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3))))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)))) (-.f64 48038761/100000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2)))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000))) (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3)))))
(/.f64 (-.f64 48038761/100000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2)) (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3)) (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2) (-.f64 48038761/100000000 (.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)))))))
(/.f64 (neg.f64 (-.f64 48038761/100000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2))) (neg.f64 (-.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))))
(/.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3))) (neg.f64 (+.f64 48038761/100000000 (.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000)))))
(/.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2) (-.f64 48038761/100000000 (.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 2) 48038761/100000000) (-.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))) 6931/10000))
(/.f64 (-.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (pow.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) 2)) (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))
(/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 3) (pow.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) 3)) (+.f64 (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (-.f64 (pow.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) 2) (.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))))
(/.f64 (+.f64 (.f64 (binary32->binary64 cosTheta_O) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (*.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (+.f64 (.f64 (binary32->binary64 cosTheta_O) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (*.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
(/.f64 (+.f64 (.f64 (binary32->binary64 cosTheta_i) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (*.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (+.f64 (.f64 (binary32->binary64 cosTheta_i) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_O)) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (*.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
(/.f64 (+.f64 (.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (.f64 (binary32->binary64 v) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (.f64 (binary32->binary64 v) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (+.f64 (.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))) (.f64 (binary32->binary64 v) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (.f64 (binary32->binary64 v) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
(/.f64 (+.f64 (.f64 1 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (.f64 (/.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O)) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (*.f64 (/.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (+.f64 (.f64 1 (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))) (.f64 (/.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O)) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (.f64 (/.f64 (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)) (binary32->binary64 cosTheta_O)) (+.f64 48038761/100000000 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (*.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
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(/.f32 (-.f32 (.f32 1 (neg.f32 (neg.f32 v))) (.f32 (/.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) 1)) (.f32 (/.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 1 (neg.f32 v)) (.f32 (/.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) -1)) (.f32 (/.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (neg.f32 (neg.f32 v))) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (neg.f32 (neg.f32 v))) (.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) 1)) (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) v) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) v))
(/.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (neg.f32 (neg.f32 v))) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (neg.f32 v)) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) -1)) (.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) v) (.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)) (*.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) v))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (neg.f32 v))) (.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)) (*.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 v)) (.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) -1)) (*.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) v) (.f32 (neg.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) 1)) (.f32 (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) v))
(/.f32 (-.f32 (.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 (neg.f32 v))) (.f32 (neg.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) 1)) (.f32 (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 v)) (.f32 (neg.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) -1)) (.f32 (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) v) (.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)) (*.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) v))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (neg.f32 (neg.f32 v))) (.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) 1)) (*.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (neg.f32 v)) (.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) -1)) (*.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000) (neg.f32 v)))
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v)))) (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))) (pow.f32 v -2))) (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v)))) (.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))) (pow.f32 v -3))) (*.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v)))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) v) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))) (neg.f32 (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (neg.f32 v)) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) -1))) (neg.f32 (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v))))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) v) (.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) 1))) (neg.f32 (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) v)))
(/.f32 (neg.f32 (-.f32 (.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (neg.f32 v)) (.f32 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) -1))) (neg.f32 (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (neg.f32 v))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)))) (neg.f32 (neg.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 1 v))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 v -3)))) (neg.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (+.f32 (pow.f32 v -2) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))) (neg.f32 (-.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) 3))) (neg.f32 (+.f32 48038761/100000000 (-.f32 (.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) (.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (/.f32 -1 v) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (pow.f32 v -2) (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))))))
(-.f32 (log.f32 1/2) (-.f32 (log.f32 v) 6931/10000))
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (+.f32 6931/10000 (log.f32 1/2)) (log.f32 v))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 1 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(/.f32 1 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))))
(/.f32 -1 (neg.f32 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))))
(/.f32 -1 (neg.f32 (/.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(/.f32 (-.f32 (.f32 48038761/100000000 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))) (neg.f32 (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))) (neg.f32 (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000)) (neg.f32 (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))
(-.f32 0 (log.f32 (*.f32 v 2)))
(-.f32 (log.f32 1/2) (log.f32 v))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 1/2) (log.f32 v)))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))))
(/.f32 (neg.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v)))) (neg.f32 (+.f32 (log.f32 1/2) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3))) (neg.f32 (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v))))))
(neg.f32 (log.f32 (*.f32 v 2)))

Calls

40 calls:

1.0ms	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
0.0ms	(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
0.0ms	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
0.0ms	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
0.0ms	(exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))

simplify471.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

589×	`*-commutative`
540×	`distribute-lft-neg-in`
451×	`distribute-rgt-neg-in`
438×	`distribute-lft-neg-out`
437×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1890	63041
1	6157	62511

Stop Event

1×	node limit

Counts

753 → 858

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
1
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
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(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))))
(binary64->binary32 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))))

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
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(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
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1
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(binary32->binary64 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))) (/.f32 (*.f32 (binary64->binary32 (binary32->binary64 cosTheta_O)) (binary64->binary32 (binary32->binary64 cosTheta_i))) (binary64->binary32 (binary32->binary64 v))))) (/.f32 1 (binary64->binary32 (binary32->binary64 v)))))
(binary32->binary64 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))) (/.f32 (binary64->binary32 (binary32->binary64 cosTheta_O)) (/.f32 (binary64->binary32 (binary32->binary64 v)) (binary64->binary32 (binary32->binary64 cosTheta_i))))) (/.f32 1 (binary64->binary32 (binary32->binary64 v))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (+.f64 (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) (-.f64 6931/10000 (/.f64 1 (binary32->binary64 v))))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (+.f64 (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) (-.f64 6931/10000 (/.f64 1 (binary32->binary64 v))))))))
(binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))) (/.f32 (*.f32 (binary64->binary32 (binary32->binary64 cosTheta_O)) (binary64->binary32 (binary32->binary64 cosTheta_i))) (binary64->binary32 (binary32->binary64 v))))) (/.f32 1 (binary64->binary32 (binary32->binary64 v))))))
(binary32->binary64 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))) (/.f32 (binary64->binary32 (binary32->binary64 cosTheta_O)) (/.f32 (binary64->binary32 (binary32->binary64 v)) (binary64->binary32 (binary32->binary64 cosTheta_i))))) (/.f32 1 (binary64->binary32 (binary32->binary64 v)))))))
(binary64->binary32 (binary32->binary64 (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(binary64->binary32 (binary32->binary64 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(binary64->binary32 (binary32->binary64 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))))
(binary64->binary32 (exp.f64 (*.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)))))
(binary64->binary32 (exp.f64 (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i))))
(binary64->binary32 (binary32->binary64 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(binary64->binary32 (binary32->binary64 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(binary64->binary32 (binary32->binary64 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(binary64->binary32 (binary32->binary64 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(binary64->binary32 (*.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v))))
(binary64->binary32 (*.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(binary64->binary32 (/.f64 (-.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) 1) (binary32->binary64 v)))
(binary64->binary32 (/.f64 (fma.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i) -1) (binary32->binary64 v)))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(binary64->binary32 (binary32->binary64 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(binary64->binary32 (exp.f64 (/.f64 (-.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) 1) (binary32->binary64 v))))
(binary64->binary32 (exp.f64 (/.f64 (fma.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i) -1) (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(binary64->binary32 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(binary64->binary32 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
(binary64->binary32 (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))))
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (exp.f64 (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(binary64->binary32 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))))
(binary64->binary32 (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (/.f64 (fma.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i) -1) (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (/.f32 1/2 v)))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (/.f32 1/2 v)))))
(binary64->binary32 (.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (.f64 (/.f64 1/2 (binary32->binary64 v)) (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (/.f64 (fma.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i) -1) (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 v)) (binary32->binary64 cosTheta_i)) (.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))))
(binary64->binary32 (binary32->binary64 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(binary64->binary32 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))))
(binary64->binary32 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (/.f64 (fma.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i) -1) (binary32->binary64 v))))))

eval765.0ms (4.5%)

Compiler: Compiled 45884 to 25428 computations (44.6% saved)

prune266.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1047	7	1054
Fresh	4	3	7
Picked	4	1	5
Done	0	0	0
Total	1055	11	1066

Accuracy

100.0%

Counts

1066 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
▶	6.2%	(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(*.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
▶	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
	97.8%	(exp.f32 (/.f32 -1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
▶	98.0%	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
▶	100.0%	(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
	6.4%	1
	99.0%	(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
▶	6.2%	(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
▶	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(*.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
▶	99.8%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
	97.8%	(exp.f32 (/.f32 -1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
▶	98.0%	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
▶	100.0%	(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
	6.4%	1

Compiler

Compiled 1068 to 796 computations (25.5% saved)

localize1.3s (7.8%)

Localize:

Found 36 expressions with local error:

New	Accuracy	Program
	99.9%	(+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
	99.9%	(-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))
	99.9%	(log.f32 (/.f32 1/2 v))
	100.0%	(.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
	100.0%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	100.0%	(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
	100.0%	(*.f32 sinTheta_O sinTheta_i)
	100.0%	(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))
	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.9%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
	100.0%	(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	100.0%	(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.4%	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
	99.5%	(+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
	99.6%	(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
	99.9%	(log.f64 (/.f64 1/2 (binary32->binary64 v)))
✓	99.8%	(exp.f32 (/.f32 1 v))
✓	99.2%	(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))
	98.8%	(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
✓	98.8%	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
✓	99.8%	(exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	87.0%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v)
	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.9%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.8%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	76.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.9%	(log.f64 (/.f64 1/2 (binary32->binary64 v)))
✓	99.6%	(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
✓	99.5%	(+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
✓	99.4%	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))

Compiler

Compiled 533 to 307 computations (42.4% saved)

series56.0ms (0.3%)

Counts

14 → 202

Calls

96 calls:

Time	Variable		Point	Expression
16.0ms	v	@	inf	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
14.0ms	v	@	-inf	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
2.0ms	v	@	0	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
2.0ms	v	@	-inf	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
1.0ms	v	@	0	(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))

rewrite288.0ms (1.7%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

2063×	`frac-times`
821×	`frac-2neg`
655×	`frac-add`
412×	`frac-sub`
117×	`sub-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	438
1	295	384
2	2940	384

Stop Event

1×	node limit

Counts

14 → 471

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
(+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
(-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))
(log.f64 (/.f64 1/2 (binary32->binary64 v)))
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
(exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 1 v))

Outputs
(*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (exp.f64 (/.f64 -1 (binary32->binary64 v))))
(*.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (/.f64 1 (exp.f64 (/.f64 1 (binary32->binary64 v)))))
(*.f64 (exp.f64 6931/10000) (exp.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 -1 (binary32->binary64 v)))))
(/.f64 1 (/.f64 (exp.f64 (/.f64 1 (binary32->binary64 v))) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 (/.f64 1 (binary32->binary64 v))) (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
(/.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (exp.f64 (/.f64 1 (binary32->binary64 v))))
(/.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))) (neg.f64 (exp.f64 (/.f64 1 (binary32->binary64 v)))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))) (neg.f64 (neg.f64 (exp.f64 (/.f64 1 (binary32->binary64 v))))))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (binary32->binary64 v)) 6931/10000))
(-.f64 (/.f64 48038761/100000000 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (/.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(-.f64 (+.f64 6931/10000 (log.f64 1/2)) (log.f64 (binary32->binary64 v)))
(*.f64 (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)) (/.f64 1 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)) (/.f64 1 (+.f64 48038761/100000000 (.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000)))))
(/.f64 1 (/.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2))))
(/.f64 1 (/.f64 (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000))) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3))))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000))) (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))))
(/.f64 (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)) (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000))))
(/.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (-.f64 48038761/100000000 (*.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))))
(/.f64 (neg.f64 (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2))) (neg.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3))) (neg.f64 (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000)))))
(/.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (-.f64 48038761/100000000 (*.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) 48038761/100000000) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000))
(/.f64 (-.f64 (.f64 48038761/100000000 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))) (.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2))) (*.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (.f64 (-.f64 110860132438012536505081/1000000000000000000000000 (.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3) (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3))) 1) (.f64 (-.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)) (+.f64 48038761/100000000 (.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000)))))
(/.f64 (.f64 (+.f64 36911618591269576715823706172806771/1000000000000000000000000000000000000 (pow.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3) 3)) 1) (.f64 (+.f64 110860132438012536505081/1000000000000000000000000 (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3) (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)) (.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000)))))
(/.f64 (.f64 (-.f64 2307722558415121/10000000000000000 (.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2))) 1) (*.f64 (+.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (.f64 (-.f64 110860132438012536505081/1000000000000000000000000 (pow.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) 3)) 1) (.f64 (+.f64 2307722558415121/10000000000000000 (+.f64 (.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)) (.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 48038761/100000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2)))) (neg.f64 (neg.f64 (-.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 332956652491/1000000000000 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 3)))) (neg.f64 (neg.f64 (+.f64 48038761/100000000 (*.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 2) 48038761/100000000)) (neg.f64 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) 6931/10000)))
(+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 -1 (binary32->binary64 v))))
(+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))
(+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 6931/10000 (/.f64 1 (binary32->binary64 v))))
(+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 -1 (binary32->binary64 v)))
(+.f64 (/.f64 -1 (binary32->binary64 v)) (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))))
(+.f64 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 -1 (binary32->binary64 v))) 6931/10000)
(*.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (pow.f64 (binary32->binary64 v) -2)) (/.f64 1 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(*.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 3) (pow.f64 (binary32->binary64 v) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (+.f64 (pow.f64 (binary32->binary64 v) -2) (/.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (binary32->binary64 v))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (pow.f64 (binary32->binary64 v) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (+.f64 (pow.f64 (binary32->binary64 v) -2) (/.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (binary32->binary64 v)))) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 3) (pow.f64 (binary32->binary64 v) -3))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (pow.f64 (binary32->binary64 v) -2)))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (+.f64 (pow.f64 (binary32->binary64 v) -2) (/.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (binary32->binary64 v)))) (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 3) (pow.f64 (binary32->binary64 v) -3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (pow.f64 (binary32->binary64 v) -2)) (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
(/.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (pow.f64 (binary32->binary64 v) -2)) (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 -1 (binary32->binary64 v))))
(/.f64 (-.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 3) (pow.f64 (binary32->binary64 v) -3)) (+.f64 (pow.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) 2) (+.f64 (pow.f64 (binary32->binary64 v) -2) (/.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (binary32->binary64 v)))))
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(/.f32 (neg.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))))) (neg.f32 (neg.f32 (exp.f32 (/.f32 1 v)))))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 -1 v))) (exp.f32 6931/10000))
(.f32 (pow.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (/.f32 0 0))) 1/6) (pow.f32 (.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (/.f32 0 0))) 1/6))
(.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (cbrt.f32 (exp.f32 (/.f32 0 0))))
(.f32 (cbrt.f32 (exp.f32 (/.f32 0 0))) (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(/.f32 (cbrt.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 0 0)))) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(/.f32 (neg.f32 (cbrt.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 0 0))))) (neg.f32 (cbrt.f32 (exp.f32 (/.f32 1 v)))))
(pow.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (/.f32 0 0))) 1/3)
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (/.f32 0 0)))) 1/3))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(.f32 (exp.f32 6931/10000) (/.f32 1 (.f32 (exp.f32 (/.f32 1 v)) (*.f32 v 2))))
(.f32 (exp.f32 6931/10000) (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 -1 v)))
(.f32 (.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 1/2 v))) (/.f32 1 (neg.f32 (exp.f32 (/.f32 1 v)))))
(.f32 (exp.f32 (/.f32 -1 v)) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(*.f32 (/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v))) (/.f32 1/2 v))
(pow.f32 (/.f32 (exp.f32 (/.f32 1 v)) (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) -1)
(neg.f32 (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (neg.f32 (exp.f32 (/.f32 1 v)))))
(pow.f32 (exp.f32 1) (/.f32 1 v))

Calls

46 calls:

1.0ms	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
0.0ms	(exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))
0.0ms	(+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
0.0ms	(exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
0.0ms	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))

simplify361.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

372×	`*-commutative`
228×	`+-commutative`
166×	`neg-mul-1`
164×	`neg-sub0`
146×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1357	37233
1	4181	37233

Stop Event

1×

unsound

Counts

673 → 680

Calls

Call 1

Inputs
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
1
1
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) v))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) v)) (+.f32 (.f32 -1/6 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 3)) (pow.f32 v 3))) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2))))))
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
6931/10000
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
6931/10000
6931/10000
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(exp.f32 6931/10000)
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(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 1/6 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) v))))
(exp.f32 6931/10000)
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(+.f32 (exp.f32 6931/10000) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2)))))
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(binary32->binary64 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))))
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(binary64->binary32 (binary32->binary64 (+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
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(binary64->binary32 (+.f64 1 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(binary64->binary32 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))
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(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
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(binary64->binary32 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))
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(binary64->binary32 (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))))

Outputs
1
0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
1
0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
1
0
1
0
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (/.f32 0 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 0 v))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 6931/10000 (/.f32 0 v)))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 0 v))) (fma.f32 1/2 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 6931/10000 (/.f32 0 v)))) (.f32 v v)) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 6931/10000 (/.f32 0 v)))) v)))
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(binary32->binary64 (binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v))))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 (*.f64 (exp.f64 6931/10000) 1/2) (binary32->binary64 v)) (exp.f64 (/.f64 0 (binary32->binary64 v))))))
(binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v))))) (/.f32 1 (binary64->binary32 (binary32->binary64 v))))))
(binary32->binary64 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 (binary64->binary32 (binary32->binary64 v)))) (/.f32 0 (binary64->binary32 (binary32->binary64 v)))))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 0 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(binary64->binary32 (binary32->binary64 (+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 0 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(binary64->binary32 (+.f64 1 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
(binary64->binary32 (+.f64 0 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(binary64->binary32 (binary32->binary64 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(binary64->binary32 (binary32->binary64 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(binary64->binary32 (binary32->binary64 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(binary64->binary32 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))
(binary64->binary32 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (/.f32 1/2 v))))
(binary64->binary32 (.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (*.f64 (/.f64 1/2 (binary32->binary64 v)) (exp.f64 (+.f64 6931/10000 (-.f64 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))) (/.f64 0 (binary32->binary64 v)))))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(binary64->binary32 (binary32->binary64 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(binary64->binary32 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))
(binary64->binary32 (+.f64 6931/10000 (-.f64 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))) (/.f64 0 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(binary64->binary32 (+.f64 6931/10000 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))))
(binary64->binary32 (+.f64 6931/10000 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (exp.f64 (+.f64 6931/10000 (-.f64 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))) (/.f64 0 (binary32->binary64 v))))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))))
(binary64->binary32 (binary32->binary64 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(binary64->binary32 (binary32->binary64 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))))
(binary64->binary32 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000)))
(binary64->binary32 (+.f64 (/.f64 (fma.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O) (neg.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))
(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
(binary64->binary32 (binary32->binary64 (*.f32 sinTheta_O sinTheta_i)))
(binary64->binary32 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(binary64->binary32 (.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))))
(binary64->binary32 (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (-.f64 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))) (/.f64 0 (binary32->binary64 v)))))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O) (neg.f64 (.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v))))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 1/2 v)))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 1/2 v)))))
(binary64->binary32 (.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 6931/10000 (/.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (.f64 (/.f64 1/2 (binary32->binary64 v)) (.f64 (sqrt.f64 (exp.f64 (+.f64 6931/10000 (-.f64 (/.f64 (binary32->binary64 cosTheta_O) (/.f64 (binary32->binary64 v) (binary32->binary64 cosTheta_i))) (/.f64 0 (binary32->binary64 v)))))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O) (neg.f64 (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i)))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 0 v))) (/.f32 1/2 v)) (exp.f32 (*.f32 2 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v))))))))
(binary64->binary32 (binary32->binary64 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))))
(binary64->binary32 (binary32->binary64 (.f32 (.f32 (exp.f32 (-.f32 6931/10000 (/.f32 0 v))) (/.f32 1/2 v)) (exp.f32 (*.f32 2 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v))))))))
(binary64->binary32 (.f64 (/.f64 (.f64 (exp.f64 6931/10000) (/.f64 1/2 (binary32->binary64 v))) (exp.f64 (/.f64 1 (binary32->binary64 v)))) (exp.f64 (+.f64 (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))) (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))))))
(binary64->binary32 (.f64 (/.f64 (/.f64 (.f64 (exp.f64 6931/10000) 1/2) (binary32->binary64 v)) (exp.f64 (/.f64 0 (binary32->binary64 v)))) (exp.f64 (*.f64 2 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 6931/10000 (/.f64 0 (binary32->binary64 v))))))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (binary32->binary64 (log.f32 (/.f32 1/2 v))))
(binary64->binary32 (log.f64 (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))
(binary64->binary32 (binary32->binary64 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v))))
(binary64->binary32 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v))))
(binary64->binary32 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 0 (binary32->binary64 v))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))
(binary64->binary32 (binary32->binary64 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 0 v)))))
(binary64->binary32 (+.f64 6931/10000 (-.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (-.f64 6931/10000 (/.f64 0 (binary32->binary64 v)))))

eval990.0ms (5.9%)

Compiler: Compiled 39349 to 24508 computations (37.7% saved)

prune319.0ms (1.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1140	8	1148
Fresh	1	4	5
Picked	4	1	5
Done	0	1	1
Total	1145	14	1159

Accuracy

100.0%

Counts

1159 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.0%	(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
	99.8%	(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (/.f32 1/2 v))
	97.4%	(.f32 (.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) 2)) v) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) 1)) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
	99.8%	(*.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
	99.8%	(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
	97.8%	(exp.f32 (/.f32 -1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	98.0%	(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 1) (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
	98.8%	(cbrt.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
✓	100.0%	(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
	6.4%	1
	97.5%	0

Compiler

Compiled 1366 to 879 computations (35.7% saved)

regimes178.0ms (1.1%)

Counts

40 → 1

Calls

Call 1

Inputs
0
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(cbrt.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) 2)) v) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) 1)) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (/.f32 1/2 v))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 1) (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
(.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (+.f64 (log.f64 (/.f64 1/2 (binary32->binary64 v))) (/.f64 (*.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(.f32 (binary64->binary32 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_O) (binary32->binary64 cosTheta_i)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 6931/10000 (/.f64 -1 (binary32->binary64 v)))))) (/.f32 1/2 v))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (/.f64 (-.f64 (.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 cosTheta_O)) (*.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 sinTheta_i))) (binary32->binary64 v)) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))
(binary64->binary32 (.f64 (exp.f64 (+.f64 (-.f64 (.f64 (/.f64 (binary32->binary64 cosTheta_i) (binary32->binary64 v)) (binary32->binary64 cosTheta_O)) (*.f64 (/.f64 (binary32->binary64 sinTheta_O) (binary32->binary64 v)) (binary32->binary64 sinTheta_i))) (+.f64 (/.f64 -1 (binary32->binary64 v)) 6931/10000))) (/.f64 1/2 (binary32->binary64 v))))

Outputs
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))

Calls

9 calls:

28.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	sinTheta_i
20.0ms	cosTheta_O
19.0ms	sinTheta_O
19.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
100.0%	1	`cosTheta_i`
100.0%	1	`cosTheta_O`
100.0%	1	`sinTheta_i`
100.0%	1	`sinTheta_O`
100.0%	1	`v`
100.0%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
100.0%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
100.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
100.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 1118 to 682 computations (39% saved)

regimes209.0ms (1.2%)

Counts

33 → 1

Calls

Call 1

Inputs
0
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(cbrt.f32 (.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) 2)) v) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) 1)) (.f32 (-.f32 6931/10000 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))))
(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))) (/.f32 1/2 v))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(.f32 (.f32 (.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000)))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(cbrt.f32 (.f32 (/.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 (exp.f32 1) (/.f32 1 v))) (exp.f32 (+.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))

Outputs

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

Calls

9 calls:

84.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))
17.0ms	sinTheta_O
16.0ms	cosTheta_i
16.0ms	cosTheta_O
16.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 865 to 540 computations (37.6% saved)

regimes92.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

Inputs
0
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 1 (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (/.f32 1/2 v))
(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) 1) v)) (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

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

Calls

9 calls:

13.0ms	sinTheta_i
12.0ms	cosTheta_i
12.0ms	cosTheta_O
11.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))
10.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))`
99.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 341 to 230 computations (32.6% saved)

regimes36.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
0
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))

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

Calls

5 calls:

9.0ms	cosTheta_O
7.0ms	sinTheta_O
6.0ms	sinTheta_i
6.0ms	cosTheta_i
6.0ms	v

Results

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

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes47.0ms (0.3%)

Accuracy

Total -29.2b remaining (-3688.9%)

Threshold costs -29.2b (-3688.9%)

Counts

4 → 1

Calls

Call 1

Inputs
0
1
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 1 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))

Outputs
0

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`cosTheta_i`
97.5%	1	`cosTheta_O`
97.5%	1	`sinTheta_i`
97.5%	1	`v`
97.5%	1	`sinTheta_O`

Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
9×	`neg-mul-1`
9×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	169
1	62	169
2	82	169
3	96	169
4	111	169
5	112	169

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 -1 v))
0

Outputs
(binary64->binary32 (exp.f64 (-.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 1 (binary32->binary64 v)))))
(binary64->binary32 (exp.f64 (+.f64 (+.f64 6931/10000 (log.f64 (/.f64 1/2 (binary32->binary64 v)))) (/.f64 -1 (binary32->binary64 v)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v)))))) (/.f32 1/2 v))
(.f32 (.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 6931/10000 (/.f32 1 v)))))) (/.f32 1/2 v))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 -1 v))
0

Compiler

Compiled 83 to 69 computations (16.9% saved)

soundness1.3s (7.7%)

Rules

2060×	`frac-add`
911×	`*-commutative`
705×	`+-commutative`
626×	`fma-def`
602×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1205
1	464	1129
2	1361	1037
3	5964	1037
0	2433	87294
1	7701	87280
0	1357	37233
1	4181	37233
0	162	1205
1	464	1129
2	1361	1037
3	5964	1037
0	51	418
1	331	378
2	3662	360

Stop Event

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

Compiler

Compiled 460 to 269 computations (41.5% saved)

end0.0ms (0%)

preprocess68.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 262 to 206 computations (21.4% saved)

analyze689.0ms (4.1%)

sample2.6s (15.5%)

preprocess281.0ms (1.7%)

eval2.0ms (0%)

prune5.0ms (0%)

localize536.0ms (3.2%)

series100.0ms (0.6%)

rewrite251.0ms (1.5%)

simplify334.0ms (2%)

eval396.0ms (2.3%)

prune201.0ms (1.2%)

localize609.0ms (3.6%)

series46.0ms (0.3%)

rewrite434.0ms (2.6%)

simplify761.0ms (4.5%)

eval1.5s (8.7%)

prune398.0ms (2.4%)

localize600.0ms (3.6%)

series128.0ms (0.8%)

rewrite250.0ms (1.5%)

simplify471.0ms (2.8%)

eval765.0ms (4.5%)

prune266.0ms (1.6%)

localize1.3s (7.8%)

series56.0ms (0.3%)

rewrite288.0ms (1.7%)

simplify361.0ms (2.1%)

eval990.0ms (5.9%)

prune319.0ms (1.9%)

regimes178.0ms (1.1%)

regimes209.0ms (1.2%)

regimes92.0ms (0.5%)

regimes36.0ms (0.2%)

regimes47.0ms (0.3%)

simplify15.0ms (0.1%)

soundness1.3s (7.7%)

end0.0ms (0%)

preprocess68.0ms (0.4%)

Profiling