Metrics for HairBSDF, Mp, lower

analyze598.0ms (5.4%)

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)

sample2.7s (24%)

Results

2.6s	8256×	body	256	valid
35.0ms	136×	body	256	invalid

Bogosity

preprocess304.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

798×	`times-frac`
782×	`associate-+l-`
664×	`associate-+l+`
622×	`associate-+r-`
588×	`sub-neg`

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	482	2026
2	1419	1870
3	6386	1870

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 169 to 80 computations (52.7% saved)

eval1.0ms (0%)

Compiler: Compiled 92 to 54 computations (41.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize380.0ms (3.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000)))
✓	99.5%	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
✓	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.4%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	99.2%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))

Compiler

Compiled 218 to 87 computations (60.1% saved)

series96.0ms (0.9%)

Counts

8 → 336

Calls

84 calls:

Time	Variable		Point	Expression
25.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
15.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
9.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
7.0ms	sinTheta_O	@	0	(.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
3.0ms	v	@	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)))))

rewrite127.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`frac-times`
299×	`log1p-expm1-u`
299×	`expm1-log1p-u`
294×	`add-exp-log`
293×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	358
1	649	350

Stop Event

1×	node limit

Counts

8 → 193

Calls

Call 1

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

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

simplify355.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1842×	`fma-neg`
742×	`associate-r`
650×	`log-prod`
646×	`fma-def`
626×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	600	34149
1	1631	32391
2	7124	32391

Stop Event

1×	node limit

Counts

529 → 349

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

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

eval217.0ms (1.9%)

Compiler: Compiled 13489 to 7748 computations (42.6% saved)

prune92.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	376	11	387
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	378	11	389

Accuracy

99.8%

Counts

389 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
	99.3%	(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2)
▶	99.2%	(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	98.8%	(/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
	99.3%	(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
▶	99.3%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
▶	99.7%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
▶	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	97.7%	(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
	99.3%	(pow.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2)
▶	99.2%	(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	98.8%	(/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
	99.3%	(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
▶	99.3%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.3%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
▶	99.7%	(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
▶	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.3%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))

Compiler

Compiled 1092 to 800 computations (26.7% saved)

localize629.0ms (5.6%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.6%	(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
✓	99.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
✓	99.7%	(exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
✓	99.5%	(/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
✓	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	99.7%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.5%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
✓	76.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
✓	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	99.9%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.7%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.7%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	76.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Compiler

Compiled 323 to 162 computations (49.8% saved)

series64.0ms (0.6%)

Counts

17 → 306

Calls

141 calls:

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

rewrite161.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`log1p-expm1-u`
320×	`expm1-log1p-u`
315×	`add-exp-log`
314×	`add-log-exp`
309×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	666
1	703	614

Stop Event

1×	node limit

Counts

17 → 449

Calls

Call 1

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

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

simplify362.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1414×	`fma-def`
726×	`distribute-rgt-in`
712×	`distribute-lft-in`
532×	`sqr-pow`
512×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1170	50579
1	3505	47293

Stop Event

1×	node limit

Counts

755 → 639

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.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 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) (pow.f32 v 2)))))
(+.f32 (.f32 1/12 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) (pow.f32 v 2))))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (exp.f32 6931/10000) (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i)))) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 3)) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 cosTheta_O 3) (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 cosTheta_O 2) (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)) (.f32 1/2 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(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 (+.f32 (.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (+.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)))) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (pow.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
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(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))) (neg.f32 (+.f32 (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))) (neg.f32 (-.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000) 3) (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000) (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000) (log.f32 (/.f32 1/2 v))))))
(pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
(pow.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))
(log.f32 (.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)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (.f32 (log.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.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 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
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(fma.f32 (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (sqrt.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (sqrt.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

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

eval648.0ms (5.8%)

Compiler: Compiled 28036 to 18024 computations (35.7% saved)

prune242.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	924	9	933
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	932	12	944

Accuracy

99.9%

Counts

944 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(pow.f32 (pow.f32 (/.f32 1/2 (/.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) (/.f32 (exp.f32 6931/10000) v))) 3) 1/3)
	97.7%	(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))) (/.f32 1/2 v)) 3) 1/3)
▶	99.2%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	99.3%	(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
▶	99.6%	(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
✓	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	4.7%	(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
▶	99.7%	(*.f32 1/2 (exp.f32 (+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))))
	99.3%	(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))
	97.3%	(pow.f32 (pow.f32 (/.f32 1/2 (/.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) (/.f32 (exp.f32 6931/10000) v))) 3) 1/3)
	97.7%	(pow.f32 (pow.f32 (.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))) (/.f32 1/2 v)) 3) 1/3)
▶	99.2%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	99.3%	(.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
▶	99.6%	(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))))
✓	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	4.7%	(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
▶	99.7%	(*.f32 1/2 (exp.f32 (+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))))
	99.3%	(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))

Compiler

Compiled 954 to 756 computations (20.8% saved)

localize621.0ms (5.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	76.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(*.f32 v (exp.f32 (/.f32 1 v)))
✓	99.8%	(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
✓	99.7%	(exp.f32 (/.f32 1 v))
✓	99.9%	(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
✓	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.7%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	98.8%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	100.0%	(/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v)
✓	99.9%	(-.f32 6931/10000 (log.f32 v))
✓	99.8%	(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))
✓	99.8%	(exp.f32 (+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v)))

Compiler

Compiled 244 to 157 computations (35.7% saved)

series75.0ms (0.7%)

Counts

13 → 225

Calls

69 calls:

Time	Variable		Point	Expression
17.0ms	v	@	0	(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))
9.0ms	v	@	-inf	(-.f32 6931/10000 (log.f32 v))
8.0ms	v	@	0	(-.f32 6931/10000 (log.f32 v))
6.0ms	v	@	-inf	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
5.0ms	v	@	inf	(+.f32 (-.f32 6931/10000 (log.f32 v)) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

338×	`log1p-expm1-u`
338×	`expm1-log1p-u`
334×	`add-exp-log`
330×	`add-log-exp`
325×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	406
1	712	390

Stop Event

1×	node limit

Counts

13 → 331

Calls

Call 1

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

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

simplify274.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-r`
836×	`times-frac`
698×	`fma-def`
568×	`sqr-pow`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1000	28039
1	2729	25479

Stop Event

1×	node limit

Counts

556 → 605

Calls

Call 1

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

eval378.0ms (3.4%)

Compiler: Compiled 15569 to 11160 computations (28.3% saved)

prune183.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	667	11	678
Fresh	5	1	6
Picked	3	2	5
Done	0	1	1
Total	675	15	690

Accuracy

99.9%

Counts

690 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
▶	4.7%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
✓	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.3%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 1 v))))
	98.2%	(.f32 1/2 (pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))) 3) 1/3))
	98.1%	(*.f32 1/2 (/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) 1/3) v))
✓	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
	6.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (+.f32 1 v)))
	99.5%	(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (pow.f32 (pow.f32 (E.f32) (pow.f32 v -1/2)) (pow.f32 v -1/2)))))
	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (log.f32 v) (/.f32 1 v)))))
✓	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	11.4%	(.f32 1/2 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) v)))
▶	99.7%	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
▶	99.3%	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
▶	99.2%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
▶	4.7%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
✓	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.3%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 1 v))))
	98.2%	(.f32 1/2 (pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))) 3) 1/3))
	98.1%	(*.f32 1/2 (/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) 1/3) v))
✓	99.7%	(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
	6.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (+.f32 1 v)))
	99.5%	(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (pow.f32 (pow.f32 (E.f32) (pow.f32 v -1/2)) (pow.f32 v -1/2)))))
	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (log.f32 v) (/.f32 1 v)))))
✓	4.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	11.4%	(.f32 1/2 (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) v)))
▶	99.7%	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
▶	99.3%	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))

Compiler

Compiled 882 to 766 computations (13.2% saved)

localize406.0ms (3.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	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))
	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	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))
✓	99.7%	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.9%	(exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v))
✓	79.1%	(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
✓	99.2%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
✓	98.9%	(/.f32 v (exp.f32 6931/10000))
	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.8%	(-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))
✓	99.8%	(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))

Compiler

Compiled 182 to 120 computations (34.1% saved)

series11.0ms (0.1%)

Counts

12 → 180

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
1.0ms	v	@	-inf	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
1.0ms	v	@	-inf	(exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v)))
0.0ms	v	@	-inf	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
0.0ms	v	@	inf	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`associate-r`
286×	`log1p-expm1-u`
286×	`expm1-log1p-u`
283×	`add-exp-log`
280×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	345
1	608	337

Stop Event

1×	node limit

Counts

12 → 465

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))) 1)
(*.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 1 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v)))) (neg.f32 v))
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v) 1)
(pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 6931/10000 (neg.f32 (+.f32 (/.f32 1 v) (log.f32 v))))
(+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (neg.f32 (log.f32 v))))
(+.f32 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v)))
(+.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 0 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))))
(+.f32 (fma.f32 1 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 1 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) 2) (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) 2) (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) 2) (.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v)) 2)) (log.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))) (log.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (.f32 (+.f32 6931/10000 (/.f32 1 v)) 1) (.f32 (neg.f32 (log.f32 v)) 1))
(*.f32 1 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 3) (pow.f32 (log.f32 v) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (.f32 (log.f32 v) (+.f32 (log.f32 v) (+.f32 6931/10000 (/.f32 1 v)))))))
(*.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (pow.f32 (log.f32 v) 2)) (/.f32 1 (+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (log.f32 v))) (-.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (log.f32 v))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (*.f32 (log.f32 v) (+.f32 (log.f32 v) (+.f32 6931/10000 (/.f32 1 v))))) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 3) (pow.f32 (log.f32 v) 3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))) (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (pow.f32 (log.f32 v) 2))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (*.f32 (log.f32 v) (+.f32 (log.f32 v) (+.f32 6931/10000 (/.f32 1 v))))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (pow.f32 (log.f32 v) 2)) (+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 3) (pow.f32 (log.f32 v) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (*.f32 (log.f32 v) (+.f32 (log.f32 v) (+.f32 6931/10000 (/.f32 1 v)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (pow.f32 (log.f32 v) 2))) (neg.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v)))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 3) (pow.f32 (neg.f32 (log.f32 v)) 3)) (+.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (-.f32 (.f32 (neg.f32 (log.f32 v)) (neg.f32 (log.f32 v))) (.f32 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v))))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 3)) (+.f32 48038761/100000000 (+.f32 (.f32 (+.f32 (/.f32 1 v) (log.f32 v)) (+.f32 (/.f32 1 v) (log.f32 v))) (.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2) (*.f32 (neg.f32 (log.f32 v)) (neg.f32 (log.f32 v)))) (-.f32 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v))))
(/.f32 (-.f32 48038761/100000000 (*.f32 (+.f32 (/.f32 1 v) (log.f32 v)) (+.f32 (/.f32 1 v) (log.f32 v)))) (+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 v))))
(pow.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))) 2))
(log.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 1 v))) v))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (-.f32 (/.f32 1 v) (log.f32 v)))))
(fma.f32 1 (+.f32 6931/10000 (/.f32 1 v)) (neg.f32 (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (log.f32 v)))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (neg.f32 (log.f32 v)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000)))) 1)
(.f32 1 (.f32 v (exp.f32 -6931/10000)))
(*.f32 v (exp.f32 -6931/10000))
(.f32 (pow.f32 (cbrt.f32 (.f32 v (exp.f32 -6931/10000))) 2) (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(.f32 (sqrt.f32 (.f32 v (exp.f32 -6931/10000))) (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(*.f32 (neg.f32 v) (/.f32 1 (neg.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) 1) (/.f32 (cbrt.f32 v) (exp.f32 6931/10000)))
(*.f32 (/.f32 (sqrt.f32 v) 1) (/.f32 (sqrt.f32 v) (exp.f32 6931/10000)))
(*.f32 (/.f32 1 (cbrt.f32 (exp.f32 6931/5000))) (/.f32 v (cbrt.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 1 (sqrt.f32 (exp.f32 6931/10000))) (/.f32 v (sqrt.f32 (exp.f32 6931/10000))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (.f32 v (exp.f32 -6931/10000))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 v) 2) (sqrt.f32 (exp.f32 6931/10000))) (/.f32 (cbrt.f32 v) (sqrt.f32 (exp.f32 6931/10000))))
(*.f32 (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/5000))) (/.f32 (sqrt.f32 v) (cbrt.f32 (exp.f32 6931/10000))))
(pow.f32 (*.f32 v (exp.f32 -6931/10000)) 1)
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 3)
(pow.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2)
(pow.f32 (/.f32 (exp.f32 6931/10000) v) -1)
(neg.f32 (/.f32 v (neg.f32 (exp.f32 6931/10000))))
(sqrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 2))
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 -6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v (exp.f32 -6931/10000)))))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3))
(cbrt.f32 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000))))
(exp.f32 (-.f32 (log.f32 v) 6931/10000))
(exp.f32 (*.f32 (-.f32 (log.f32 v) 6931/10000) 1))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 -6931/10000))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))) 1)
(.f32 1 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) 6931/10000))
(.f32 (cbrt.f32 (/.f32 1/4 (pow.f32 (.f32 v (exp.f32 -6931/10000)) 2))) (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(.f32 -1/2 (/.f32 1 (.f32 v (neg.f32 (exp.f32 -6931/10000)))))
(*.f32 (pow.f32 (E.f32) 6931/10000) (/.f32 1/2 v))
(.f32 (pow.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (pow.f32 (E.f32) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (pow.f32 (E.f32) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)))
(.f32 (.f32 (/.f32 1/2 v) 1) (exp.f32 6931/10000))
(.f32 (.f32 (/.f32 1/2 v) (cbrt.f32 (exp.f32 6931/5000))) (cbrt.f32 (exp.f32 6931/10000)))
(.f32 (.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 6931/10000))) (sqrt.f32 (exp.f32 6931/10000)))
(pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 1)
(pow.f32 (E.f32) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) 2)
(pow.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2) -1)
(pow.f32 (pow.f32 (E.f32) (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(sqrt.f32 (/.f32 1/4 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 2)))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(+.f32 0 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(-.f32 0 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) 1)
(-.f32 (/.f32 0 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(.f32 1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 1 v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) 2) (cbrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(.f32 (pow.f32 v -1/2) (/.f32 (.f32 sinTheta_O sinTheta_i) (sqrt.f32 v)))
(.f32 (sqrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (sqrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) 1) (/.f32 1 v))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (.f32 sinTheta_O sinTheta_i) (cbrt.f32 v)))
(*.f32 (/.f32 sinTheta_O 1) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (/.f32 sinTheta_O 1) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 (neg.f32 sinTheta_i) (cbrt.f32 v)))
(*.f32 (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_i (cbrt.f32 v)))
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(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)) (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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 48038761/100000000 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2))) (-.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))
(/.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)) (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) v))
(/.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)) (.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) v) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))
(/.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)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v)))
(/.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)) (.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 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)) (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) v))
(/.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)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v)))
(/.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)) (*.f32 (-.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)) 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))) v))
(/.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)) (.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) v) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))
(/.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)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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))) v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2))) (neg.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 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 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)))) (neg.f32 (-.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 3) 332956652491/1000000000000) (+.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) (-.f32 48038761/100000000 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))))
(/.f32 (-.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) 48038761/100000000) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))
(pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 2)
(sqrt.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)))
(log.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000)
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(fma.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2))) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(fma.f32 (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) 6931/10000)
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.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 0 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)
(-.f32 (log.f32 -1/2) (log.f32 (*.f32 v (neg.f32 (exp.f32 -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 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(*.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 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 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)
(neg.f32 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))
(log.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)

simplify222.0ms (2%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def`
896×	`associate-r`
512×	`distribute-rgt-in`
510×	`sqr-pow`
466×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1019	30493
1	2669	29133

Stop Event

1×	node limit

Counts

645 → 643

Calls

Call 1

Inputs
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))))))
(/.f32 -1 v)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))
(-.f32 6931/10000 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
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(/.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)) (.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) v))
(/.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)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v)))
(/.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)) (*.f32 (-.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)) 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))) v))
(/.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)) (.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) v) (.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v))
(/.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)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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))) v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2))) (neg.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 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 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)))) (neg.f32 (-.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 3) 332956652491/1000000000000) (+.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) (-.f32 48038761/100000000 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))))
(/.f32 (-.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) 48038761/100000000) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))
(pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 2)
(sqrt.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)))
(log.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000)
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(fma.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2))) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(fma.f32 (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) 6931/10000)
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.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 0 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)
(-.f32 (log.f32 -1/2) (log.f32 (*.f32 v (neg.f32 (exp.f32 -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 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(*.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 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 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.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 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)
(neg.f32 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))
(log.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)

Outputs
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v))))
(/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))
(exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v)))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (fma.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (pow.f32 v 2)))))
(+.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) v)) (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (fma.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) v) (fma.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (log.f32 v)))) (pow.f32 v 2))))))
(+.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (/.f32 (exp.f32 6931/10000) v) v)) (fma.f32 -1/6 (/.f32 (/.f32 (exp.f32 6931/10000) v) (pow.f32 v 3)) (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (pow.f32 v 2))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v))))))
(exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (neg.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) v)))
(-.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) v)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (fma.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) v) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (fma.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2)) (/.f32 (neg.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v)))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (fma.f32 -1 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) v) (fma.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 v)))))) (pow.f32 v 2))))))
(+.f32 (-.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) v)) (fma.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2)) (*.f32 -1/6 (/.f32 (exp.f32 (-.f32 6931/10000 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))))) (pow.f32 v 3)))))
(/.f32 -1 v)
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
(+.f32 6931/10000 (-.f32 (/.f32 -1 v) (log.f32 v)))
(-.f32 6931/10000 (*.f32 -1 (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (neg.f32 (log.f32 v)))
(-.f32 6931/10000 (log.f32 v))
(-.f32 6931/10000 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (/.f32 1 v)))
(-.f32 6931/10000 (+.f32 (log.f32 v) (/.f32 1 v)))
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(/.f32 (+.f32 (+.f32 -48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (pow.f32 v -2)) (+.f32 (+.f32 -6931/10000 (/.f32 -1 v)) (log.f32 (/.f32 1/2 v))))
(/.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) (pow.f32 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 v -3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3)) (-.f32 (+.f32 (pow.f32 v -2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (/.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) v)))
(/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 3) 332956652491/1000000000000) (+.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) (-.f32 48038761/100000000 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))) 3)) (+.f32 (+.f32 (pow.f32 v -2) (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.f32 48038761/100000000 (*.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v)))))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))) 3)) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 (+.f32 (pow.f32 v -2) 48038761/100000000) (*.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2)) 48038761/100000000) (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000))
(/.f32 (+.f32 (+.f32 (pow.f32 v -2) (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) -48038761/100000000) (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (/.f32 1 v) 6931/10000)))
(/.f32 (+.f32 (pow.f32 v -2) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) -48038761/100000000)) (+.f32 (/.f32 1 v) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000)))
(pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 1)
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(pow.f32 (cbrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 3)
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(pow.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3) 1/3)
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(pow.f32 (sqrt.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 2)
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(sqrt.f32 (+.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (pow.f32 v -2)))
(sqrt.f32 (+.f32 (pow.f32 v -2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)))
(hypot.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(log.f32 (.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))))))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v))) 3))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(exp.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))) 1))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 6931/10000 (/.f32 1 v)) (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 6931/10000)
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(fma.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (pow.f32 v -2))) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))) 6931/10000)
(fma.f32 (cbrt.f32 (+.f32 (pow.f32 v -2) (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (cbrt.f32 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v)))) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(fma.f32 (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) 6931/10000)
(+.f32 (pow.f32 (hypot.f32 (pow.f32 v -1/2) (sqrt.f32 (log.f32 (/.f32 1/2 v)))) 2) 6931/10000)
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (/.f32 1 v) (log.f32 (/.f32 1/2 v))))
(-.f32 (log.f32 1/2) (-.f32 (log.f32 v) 6931/10000))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(-.f32 0 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(neg.f32 (log.f32 (.f32 v (.f32 (exp.f32 -6931/10000) 2))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(-.f32 (log.f32 -1/2) (log.f32 (*.f32 v (neg.f32 (exp.f32 -6931/10000)))))
(-.f32 (log.f32 -1/2) (log.f32 (*.f32 (neg.f32 v) (exp.f32 -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 48038761/100000000 (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 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (fma.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000) 48038761/100000000))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 1 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(/.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 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (fma.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000) 48038761/100000000))
(/.f32 1 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.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 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (fma.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000) 48038761/100000000))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.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 (+.f32 -332956652491/1000000000000 (neg.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))) (+.f32 -48038761/100000000 (neg.f32 (*.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000)))))
(/.f32 (-.f32 -332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (-.f32 -48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 -48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (+.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.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 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 48038761/100000000 (+.f32 (*.f32 (log.f32 (/.f32 1/2 v)) -6931/10000) (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) -48038761/100000000) (+.f32 (log.f32 (/.f32 1/2 v)) -6931/10000))
(pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(pow.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) 1/3)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(neg.f32 (log.f32 (.f32 (.f32 v (exp.f32 -6931/10000)) 2)))
(neg.f32 (log.f32 (.f32 v (.f32 (exp.f32 -6931/10000) 2))))
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))
(fabs.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(log.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(exp.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) 6931/10000)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))

eval339.0ms (3%)

Compiler: Compiled 15112 to 11753 computations (22.2% saved)

prune159.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	800	4	804
Fresh	2	5	7
Picked	2	3	5
Done	3	0	3
Total	807	12	819

Accuracy

99.9%

Counts

819 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	99.3%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.3%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 1 v))))
	98.2%	(.f32 1/2 (pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) (.f32 v (exp.f32 (/.f32 1 v)))) 3) 1/3))
	98.1%	(*.f32 1/2 (/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) 1/3) v))
	99.5%	(.f32 1/2 (/.f32 (exp.f32 6931/10000) (.f32 v (pow.f32 (pow.f32 (E.f32) (pow.f32 v -1/2)) (pow.f32 v -1/2)))))
	99.7%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 1 v) (log.f32 v)))))
	6.4%	(.f32 1/2 (-.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	97.1%	(*.f32 1/2 (exp.f32 (/.f32 -1 v)))
✓	99.7%	(*.f32 1/2 (exp.f32 (-.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 v))))
	6.5%	(*.f32 1/2 1)
✓	99.3%	(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))

Compiler

Compiled 777 to 564 computations (27.4% saved)

regimes136.0ms (1.2%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

9 calls:

17.0ms	sinTheta_O
17.0ms	cosTheta_i
17.0ms	cosTheta_O
17.0ms	sinTheta_i
16.0ms	v

Results

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

Compiler

Compiled 685 to 473 computations (30.9% saved)

regimes43.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	cosTheta_O
8.0ms	v
8.0ms	sinTheta_O
7.0ms	cosTheta_i
7.0ms	sinTheta_i

Results

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

Compiler

Compiled 181 to 138 computations (23.8% saved)

regimes32.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	v
6.0ms	cosTheta_O
5.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	cosTheta_i

Results

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

Compiler

Compiled 96 to 79 computations (17.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 1/2 1)
(.f32 1/2 (-.f32 1 (.f32 sinTheta_O (/.f32 sinTheta_i v))))

Outputs
(*.f32 1/2 1)

Calls

5 calls:

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

Results

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

Compiler

Compiled 47 to 39 computations (17% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
1	32	95
2	40	95
3	46	95
4	52	95

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 43 computations (10.4% saved)

soundness1.0s (9.1%)

Rules

1842×	`fma-neg`
1414×	`fma-def`
996×	`associate-r`
836×	`times-frac`
798×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	482	2026
2	1419	1870
3	6386	1870
0	43	406
1	712	390
0	173	2130
1	482	2026
2	1419	1870
3	6386	1870
0	600	34149
1	1631	32391
2	7124	32391
0	1170	50579
1	3505	47293
0	1000	28039
1	2729	25479

Stop Event

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

Compiler

Compiled 576 to 331 computations (42.5% saved)

end0.0ms (0%)

preprocess62.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 446 to 380 computations (14.8% saved)

analyze598.0ms (5.4%)

sample2.7s (24%)

preprocess304.0ms (2.7%)

eval1.0ms (0%)

prune3.0ms (0%)

localize380.0ms (3.4%)

series96.0ms (0.9%)

rewrite127.0ms (1.1%)

simplify355.0ms (3.2%)

eval217.0ms (1.9%)

prune92.0ms (0.8%)

localize629.0ms (5.6%)

series64.0ms (0.6%)

rewrite161.0ms (1.4%)

simplify362.0ms (3.2%)

eval648.0ms (5.8%)

prune242.0ms (2.2%)

localize621.0ms (5.6%)

series75.0ms (0.7%)

rewrite118.0ms (1.1%)

simplify274.0ms (2.5%)

eval378.0ms (3.4%)

prune183.0ms (1.6%)

localize406.0ms (3.6%)

series11.0ms (0.1%)

rewrite117.0ms (1.1%)

simplify222.0ms (2%)

eval339.0ms (3%)

prune159.0ms (1.4%)

regimes136.0ms (1.2%)

regimes43.0ms (0.4%)

regimes32.0ms (0.3%)

regimes16.0ms (0.1%)

simplify4.0ms (0%)

soundness1.0s (9.1%)

end0.0ms (0%)

preprocess62.0ms (0.6%)

Profiling