Metrics for HairBSDF, Mp, lower

analyze569.0ms (6.4%)

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)

sample2.4s (27.8%)

Results

2.4s	8256×	body	256	valid
30.0ms	132×	body	256	invalid

Bogosity

preprocess72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1136
1	461	1064
2	1373	976
3	6228	976

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1828×	`fma-def`
1016×	`exp-sum`
920×	`sub-neg`
824×	`exp-diff`
696×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	69
1	55	65
2	149	61
3	580	57
4	2989	57

Stop Event

1×	node limit

Counts

1 → 6

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)))))

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

eval2.0ms (0%)

Compiler: Compiled 136 to 82 computations (39.7% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Accurracy

99.5%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
▶	99.5%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
▶	99.5%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
▶	99.5%	(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize334.0ms (3.8%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 sinTheta_i v) sinTheta_O))
✓	99.6%	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
✓	99.2%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	99.2%	(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
✓	99.9%	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
✓	99.6%	(log.f32 (/.f32 1/2 v))
✓	99.4%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	73.4%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Compiler

Compiled 218 to 89 computations (59.2% saved)

series99.0ms (1.1%)

Counts

8 → 300

Calls

84 calls:

Time	Variable		Point	Expression
32.0ms	v	@	0	(log.f32 (/.f32 1/2 v))
21.0ms	v	@	-inf	(log.f32 (/.f32 1/2 v))
6.0ms	v	@	inf	(log.f32 (/.f32 1/2 v))
4.0ms	sinTheta_i	@	inf	(.f32 (exp.f32 (+.f32 (-.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
4.0ms	cosTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`add-sqr-sqrt`
750×	`pow1`
750×	`*-un-lft-identity`
714×	`add-exp-log`
712×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	224
1	801	220

Stop Event

1×	node limit

Counts

8 → 193

Calls

Call 1

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

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

simplify193.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

772×	`log-prod`
742×	`fma-def`
498×	`exp-prod`
482×	`exp-sum`
456×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	18157
1	1366	17141
2	5681	15967

Stop Event

1×	node limit

Counts

493 → 274

Calls

Call 1

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

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

eval122.0ms (1.4%)

Compiler: Compiled 8805 to 4594 computations (47.8% saved)

prune67.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	266	8	274
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	268	8	276

Accurracy

99.9%

Counts

276 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v)))))) 3)
▶	99.9%	(/.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)
▶	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
▶	4.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.4%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
▶	11.6%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))
▶	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v)))))) 3)
▶	99.9%	(/.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)
▶	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
▶	4.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
	99.4%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) v))
	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
▶	11.6%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))

Compiler

Compiled 580 to 440 computations (24.1% saved)

localize719.0ms (8.2%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))
✓	99.9%	(+.f32 6931/10000 (/.f32 -1 v))
✓	99.9%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	98.3%	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))
✓	100.0%	(/.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))) v)
✓	99.9%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	99.9%	(exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))
✓	99.9%	(+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v)))
✓	99.9%	(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
✓	99.8%	(/.f32 (exp.f32 6931/10000) v)
✓	100.0%	(/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
✓	100.0%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
✓	99.9%	(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
✓	99.9%	(-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))

Compiler

Compiled 342 to 151 computations (55.8% saved)

series108.0ms (1.2%)

Counts

14 → 440

Calls

126 calls:

Time	Variable		Point	Expression
19.0ms	sinTheta_O	@	inf	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))
14.0ms	cosTheta_i	@	inf	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))
12.0ms	sinTheta_i	@	-inf	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))
4.0ms	cosTheta_O	@	inf	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))
3.0ms	v	@	-inf	(cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))

rewrite102.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`add-sqr-sqrt`
890×	`pow1`
890×	`*-un-lft-identity`
842×	`add-exp-log`
842×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	440
1	904	440

Stop Event

1×	node limit

Counts

14 → 135

Calls

Call 1

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

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

simplify251.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1236×	`times-frac`
1140×	`fma-def`
816×	`associate-/r*`
548×	`associate-*r/`
526×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	31665
1	2655	28241

Stop Event

1×	node limit

Counts

575 → 427

Calls

Call 1

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

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

eval420.0ms (4.8%)

Compiler: Compiled 19402 to 13018 computations (32.9% saved)

prune98.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	431	5	436
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	435	9	444

Accurracy

100.0%

Counts

444 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (/.f32 -1 v))))) 1/3) 3)
	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) 3)
▶	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
▶	4.5%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.9%	(/.f32 1/2 (expm1.f32 (log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
✓	4.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
✓	11.6%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
▶	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))
	99.5%	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (/.f32 -1 v))))) 1/3) 3)
	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) 3)
▶	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
▶	4.5%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.9%	(/.f32 1/2 (expm1.f32 (log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
✓	4.5%	(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
▶	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
✓	11.6%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
▶	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))

Compiler

Compiled 594 to 470 computations (20.9% saved)

localize466.0ms (5.3%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
✓	99.9%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v)))
✓	99.9%	(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (/.f32 1 v))
✓	98.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	100.0%	(/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
✓	100.0%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
✓	99.9%	(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
✓	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.9%	(*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))
✓	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
✓	99.8%	(/.f32 v (exp.f32 6931/10000))
✓	99.9%	(expm1.f32 (log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
	99.9%	(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
	99.9%	(-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
✓	83.3%	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))

Compiler

Compiled 259 to 146 computations (43.6% saved)

series94.0ms (1.1%)

Counts

13 → 203

Calls

81 calls:

Time	Variable		Point	Expression
24.0ms	sinTheta_O	@	inf	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
20.0ms	sinTheta_i	@	-inf	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
15.0ms	sinTheta_O	@	-inf	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
15.0ms	sinTheta_i	@	inf	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
1.0ms	sinTheta_O	@	0	(log1p.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`add-sqr-sqrt`
826×	`pow1`
824×	`*-un-lft-identity`
784×	`add-exp-log`
780×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	351
1	828	351

Stop Event

1×	node limit

Counts

13 → 192

Calls

Call 1

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

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

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-def`
1054×	`associate-r`
868×	`associate-l`
576×	`associate-+r+`
540×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	815	18935
1	2190	17217

Stop Event

1×	node limit

Counts

395 → 397

Calls

Call 1

Inputs
(/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 v 4) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 4))) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000))))
(+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000)))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2))) (.f32 -2 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (exp.f32 6931/10000)))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2))) (.f32 -2 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (exp.f32 6931/10000)))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 3) (pow.f32 (exp.f32 6931/10000) 3))) (+.f32 (.f32 -6 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000))) (+.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) (.f32 -1/6 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000))))) (exp.f32 6931/10000))) (.f32 6 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (pow.f32 (exp.f32 6931/10000) 2)))))) (pow.f32 v 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000)))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000)))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))) v) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000))))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))) v) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (exp.f32 6931/10000))) (.f32 -1 (.f32 (pow.f32 (exp.f32 6931/10000) 2) (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)))) 2)))) (pow.f32 v 2))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000)))))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))) v) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 6 (.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (.f32 (pow.f32 (exp.f32 6931/10000) 2) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))))) (+.f32 (.f32 6 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))))) (.f32 -1/6 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 3) (exp.f32 6931/10000))))) (exp.f32 6931/10000))) (.f32 -2 (.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)))) 3))))) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (exp.f32 6931/10000))) (.f32 -1 (.f32 (pow.f32 (exp.f32 6931/10000) 2) (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)))) 2)))) (pow.f32 v 2))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000))))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (/.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 1/2 (.f32 (pow.f32 sinTheta_O 2) (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (*.f32 (pow.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)))))))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 sinTheta_O 3) (+.f32 (.f32 2 (/.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3)))) (+.f32 (.f32 -6 (/.f32 (+.f32 (/.f32 (.f32 sinTheta_i (+.f32 (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) v) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 v 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (/.f32 (pow.f32 sinTheta_i 3) (.f32 (pow.f32 v 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (.f32 6 (/.f32 (.f32 sinTheta_i (+.f32 (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (.f32 (pow.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))))) (+.f32 (log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (.f32 1/2 (.f32 (pow.f32 sinTheta_O 2) (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (.f32 1/2 (/.f32 (pow.f32 sinTheta_i 2) (.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (.f32 -1 (/.f32 (pow.f32 sinTheta_i 2) (.f32 (pow.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 2))))))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
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(.f32 (.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))) 2) (.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))) 2)) (-.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))))
(pow.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) 1)
(log.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))))))
(cbrt.f32 (.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) 2) (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(exp.f32 (log.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(exp.f32 (.f32 (log.f32 (+.f32 6931/10000 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))) 6931/10000)
(fma.f32 (.f32 (cbrt.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) (cbrt.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v))))) (cbrt.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) 6931/10000)
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 1/2 v)))) 6931/10000)

Outputs
(/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(fma.f32 -1/2 (/.f32 (*.f32 v v) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2)) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(fma.f32 -1/2 (pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(fma.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3)) (fma.f32 -1/2 (/.f32 (*.f32 v v) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2)) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(fma.f32 1/3 (pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3) (fma.f32 -1/2 (pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 v 4) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 4))) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 v 2) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(fma.f32 1/3 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3)) (fma.f32 -1/4 (/.f32 (pow.f32 v 4) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 4)) (fma.f32 -1/2 (/.f32 (*.f32 v v) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2)) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(fma.f32 1/3 (pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3) (fma.f32 -1/4 (/.f32 (pow.f32 v 4) (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 4)) (fma.f32 -1/2 (pow.f32 (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2) (/.f32 v (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000))))
(fma.f32 -1 (neg.f32 (log.f32 v)) (log.f32 (exp.f32 -6931/10000)))
(+.f32 -6931/10000 (log.f32 v))
(+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000)))))
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(+.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000))))) (+.f32 -6931/10000 (log.f32 v)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2))) (.f32 -2 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (exp.f32 6931/10000)))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000))))))
(fma.f32 1/2 (/.f32 (fma.f32 -1 (.f32 (pow.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2)) (.f32 -2 (.f32 (exp.f32 6931/10000) (.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 2) (exp.f32 6931/10000)) -1/2)))) (.f32 v v)) (+.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) (log.f32 (exp.f32 -6931/10000))) (/.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) (/.f32 v (exp.f32 6931/10000)))))
(+.f32 (fma.f32 1/2 (/.f32 (-.f32 (.f32 (exp.f32 6931/10000) (.f32 (/.f32 (.f32 -1/2 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)) (exp.f32 6931/10000)) -2)) (.f32 (exp.f32 6931/5000) (pow.f32 (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000))) 2))) (*.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000)))))) (+.f32 -6931/10000 (log.f32 v)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 -1 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2))) (.f32 -2 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (exp.f32 6931/10000)))) (pow.f32 v 2))) (+.f32 (/.f32 (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (exp.f32 6931/10000)) v) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) 3) (pow.f32 (exp.f32 6931/10000) 3))) (+.f32 (.f32 -6 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000))) (+.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (+.f32 1 (.f32 sinTheta_i sinTheta_O))) (.f32 -1/6 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 3) (exp.f32 6931/10000))))) (exp.f32 6931/10000))) (.f32 6 (.f32 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000))) (.f32 -1 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) 2) (exp.f32 6931/10000)))) (.f32 (-.f32 1 (.f32 -1 (/.f32 (+.f32 1 (.f32 sinTheta_i sinTheta_O)) (exp.f32 6931/10000)))) (pow.f32 (exp.f32 6931/10000) 2)))))) (pow.f32 v 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) (log.f32 (/.f32 1 (exp.f32 6931/10000)))))))
(fma.f32 1/2 (/.f32 (fma.f32 -1 (.f32 (pow.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) 2) (pow.f32 (exp.f32 6931/10000) 2)) (.f32 -2 (.f32 (exp.f32 6931/10000) (.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 2) (exp.f32 6931/10000)) -1/2)))) (.f32 v v)) (+.f32 (/.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) (/.f32 v (exp.f32 6931/10000))) (fma.f32 1/6 (/.f32 (fma.f32 2 (.f32 (pow.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) 3) (pow.f32 (exp.f32 6931/10000) 3)) (fma.f32 -6 (.f32 (exp.f32 6931/10000) (fma.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 3) (exp.f32 6931/10000)) (fma.f32 (.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 2) (exp.f32 6931/10000)) -1/2) (+.f32 1 (.f32 sinTheta_O sinTheta_i)) (.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 3) (exp.f32 6931/10000)) -1/6)))) (.f32 6 (.f32 (.f32 (/.f32 (pow.f32 (+.f32 1 (.f32 sinTheta_O sinTheta_i)) 2) (exp.f32 6931/10000)) -1/2) (.f32 (-.f32 1 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) (exp.f32 6931/10000)))) (pow.f32 (exp.f32 6931/10000) 2)))))) (pow.f32 v 3)) (fma.f32 -1 (neg.f32 (log.f32 v)) (log.f32 (exp.f32 -6931/10000))))))
(+.f32 (fma.f32 1/2 (/.f32 (-.f32 (.f32 (exp.f32 6931/10000) (.f32 (/.f32 (.f32 -1/2 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)) (exp.f32 6931/10000)) -2)) (.f32 (exp.f32 6931/5000) (pow.f32 (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000))) 2))) (.f32 v v)) (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000)))))) (fma.f32 1/6 (/.f32 (fma.f32 2 (.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000))) 3)) (fma.f32 6 (.f32 (.f32 (/.f32 (.f32 -1/2 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)) (exp.f32 6931/10000)) (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000)))) (exp.f32 6931/5000)) (.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (exp.f32 6931/10000)) (fma.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (exp.f32 6931/10000)) -1/6 (.f32 (/.f32 (.f32 -1/2 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)) (exp.f32 6931/10000)) (fma.f32 sinTheta_O sinTheta_i 1)))) (*.f32 (exp.f32 6931/10000) -6)))) (pow.f32 v 3)) (+.f32 -6931/10000 (log.f32 v))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000)))))
(fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 -6931/10000))))
(-.f32 (+.f32 (log.f32 -1) -6931/10000) (log.f32 (/.f32 -1 v)))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))) v) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000))))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 (neg.f32 (exp.f32 -6931/10000)))) (/.f32 (exp.f32 6931/10000) (/.f32 v (-.f32 1 (neg.f32 (/.f32 (-.f32 1 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (exp.f32 6931/10000)))))))
(+.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (exp.f32 6931/10000))))) (-.f32 (+.f32 (log.f32 -1) -6931/10000) (log.f32 (/.f32 -1 v))))
(+.f32 (/.f32 (.f32 (exp.f32 6931/10000) (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000))))) v) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (.f32 1/2 (/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (/.f32 (pow.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) 2) (exp.f32 6931/10000))) (exp.f32 6931/10000))) (.f32 -1 (.f32 (pow.f32 (exp.f32 6931/10000) 2) (pow.f32 (-.f32 1 (.f32 -1 (/.f32 (-.f32 1 (.f32 -1 (.f32 sinTheta_i sinTheta_O))) (exp.f32 6931/10000)))) 2)))) (pow.f32 v 2))) (log.f32 (neg.f32 (/.f32 1 (exp.f32 6931/10000)))))))
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eval279.0ms (3.2%)

Compiler: Compiled 15173 to 11106 computations (26.8% saved)

prune98.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	458	6	464
Fresh	1	1	2
Picked	2	3	5
Done	2	0	2
Total	463	10	473

Accurracy

100.0%

Counts

473 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (/.f32 -1 v))))) 1/3) 3)
▶	99.4%	(/.f32 1/2 (/.f32 v (exp.f32 (/.f32 -1 v))))
✓	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
✓	4.5%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.9%	(/.f32 1/2 (exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))))
▶	4.5%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	14.6%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
▶	14.6%	(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))
	99.5%	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (/.f32 -1 v))))) 1/3) 3)
▶	99.4%	(/.f32 1/2 (/.f32 v (exp.f32 (/.f32 -1 v))))
✓	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
✓	4.5%	(/.f32 1/2 (/.f32 v (exp.f32 6931/10000)))
▶	99.9%	(/.f32 1/2 (exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))))
▶	4.5%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
▶	14.6%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
▶	14.6%	(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	11.6%	(exp.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v))))

Compiler

Compiled 512 to 416 computations (18.8% saved)

localize285.0ms (3.2%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f32 1/2 (/.f32 v (exp.f32 (/.f32 -1 v))))
✓	99.9%	(exp.f32 (/.f32 -1 v))
✓	99.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	98.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
	99.9%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	100.0%	(/.f32 1/2 (exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))))
✓	99.9%	(exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v))))
	99.9%	(-.f32 6931/10000 (/.f32 1 v))
✓	99.8%	(-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))

Compiler

Compiled 120 to 69 computations (42.5% saved)

series56.0ms (0.6%)

Counts

6 → 68

Calls

18 calls:

Time	Variable		Point	Expression
45.0ms	v	@	inf	(/.f32 1/2 (/.f32 v (exp.f32 (/.f32 -1 v))))
3.0ms	v	@	-inf	(-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))
2.0ms	v	@	0	(-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))
2.0ms	v	@	inf	(-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))
1.0ms	v	@	-inf	(/.f32 1/2 (exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))))

rewrite116.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`prod-diff`
734×	`expm1-udef`
728×	`log1p-udef`
448×	`add-sqr-sqrt`
432×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	455	126
2	6027	126

Stop Event

1×	node limit

Counts

6 → 243

Calls

Call 1

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

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

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-neg`
598×	`associate-r`
568×	`fma-def`
560×	`cube-prod`
544×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	644	13679
1	1612	11699
2	6558	11407

Stop Event

1×	node limit

Counts

311 → 417

Calls

Call 1

Inputs
(/.f32 1 v)
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))
(+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))
(+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (+.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 2)))))
(+.f32 (.f32 1/6 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 3))) (+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (+.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000))
(+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v)))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (+.f32 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v) (.f32 1/6 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 3))))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))
(-.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 v 2) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 v 2) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))) (+.f32 (.f32 1/12 (/.f32 1 (.f32 (pow.f32 v 3) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)))
(-.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)))) (.f32 1/2 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2)))) (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000))))) (.f32 1/2 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2)))) (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000))))) (+.f32 (.f32 1/12 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 3)))) (.f32 1/2 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (/.f32 1 v))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) 1) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(/.f32 1/2 v)
(-.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 v 3))) (.f32 1/2 (/.f32 1 v))) (*.f32 1/2 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 v 3))) (.f32 1/2 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (.f32 1/12 (/.f32 1 (pow.f32 v 4)))))
(/.f32 1/2 v)
(-.f32 (.f32 1/2 (/.f32 1 v)) (.f32 1/2 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 v 3))) (.f32 1/2 (/.f32 1 v))) (*.f32 1/2 (/.f32 1 (pow.f32 v 2))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 v 3))) (.f32 1/2 (/.f32 1 v))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 v 2))) (.f32 1/12 (/.f32 1 (pow.f32 v 4)))))
(+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v)))
(+.f32 (log.f32 v) (*.f32 (+.f32 -6931/10000 (/.f32 1 v)) 1))
(+.f32 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))) (fma.f32 (+.f32 -6931/10000 (/.f32 1 v)) 1 (+.f32 6931/10000 (/.f32 1 v))))
(+.f32 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))) (fma.f32 (neg.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v)))) (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2)) (+.f32 6931/10000 (/.f32 1 v))))
(+.f32 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))) (fma.f32 (neg.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (+.f32 6931/10000 (/.f32 1 v))))
(+.f32 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))) (fma.f32 -1 (+.f32 6931/10000 (/.f32 1 v)) (+.f32 6931/10000 (/.f32 1 v))))
(+.f32 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 1 v)) 2))) (cbrt.f32 (+.f32 6931/10000 (/.f32 1 v))) (+.f32 6931/10000 (/.f32 1 v))))
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(+.f32 0 (+.f32 (log.f32 v) (+.f32 -6931/10000 (/.f32 1 v))))
(+.f32 (+.f32 -6931/10000 (/.f32 1 v)) (log.f32 v))
(+.f32 (+.f32 (log.f32 v) -6931/10000) (/.f32 1 v))
(+.f32 (log.f32 (sqrt.f32 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 1 v)))))) (log.f32 (sqrt.f32 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 1 v)))))))
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(.f32 -1/2 (/.f32 1 (.f32 v (neg.f32 (exp.f32 (/.f32 1 v))))))
(*.f32 (/.f32 (exp.f32 (/.f32 1 v)) v) 1/2)
(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2)) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(.f32 (.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 (neg.f32 v)) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 2)
(pow.f32 (.f32 (.f32 v (exp.f32 (/.f32 1 v))) 2) -1)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (/.f32 1 v)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))

Outputs
(/.f32 1 v)
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)
(fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)
(+.f32 (log.f32 v) -6931/10000)
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 (/.f32 1 v) (*.f32 -1 (log.f32 (/.f32 1 v)))) 6931/10000)
(+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))) -6931/10000)
(+.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))) -6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))) -6931/10000)
(+.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))) -6931/10000)
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (+.f32 (/.f32 1 v) (log.f32 -1))) 6931/10000)
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (+.f32 (/.f32 1 v) (log.f32 -1))) -6931/10000)
(+.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 -1)) (log.f32 (/.f32 -1 v))) -6931/10000)
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000)))
(*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000)))
(*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000)))
(*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000))
(exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000)))
(*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000)))
(exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))
(exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))
(*.f32 v (exp.f32 -6931/10000))
(+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))
(+.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (/.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) v))
(+.f32 (.f32 v (exp.f32 -6931/10000)) (/.f32 v (.f32 v (exp.f32 6931/10000))))
(+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (+.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 2)))))
(+.f32 (/.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) v) (+.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (/.f32 (.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))) (.f32 v v))))
(+.f32 (/.f32 v (.f32 v (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 v (.f32 (.f32 v v) (exp.f32 6931/10000))) (.f32 v (exp.f32 -6931/10000))))
(+.f32 (.f32 1/6 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 3))) (+.f32 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) v) (+.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (.f32 1/2 (/.f32 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)) (pow.f32 v 2))))))
(fma.f32 1/6 (/.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (pow.f32 v 3)) (+.f32 (/.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) v) (+.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (/.f32 (.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))) (.f32 v v)))))
(+.f32 (fma.f32 1/2 (/.f32 v (.f32 (.f32 v v) (exp.f32 6931/10000))) (.f32 v (exp.f32 -6931/10000))) (fma.f32 1/6 (/.f32 v (.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (/.f32 v (*.f32 v (exp.f32 6931/10000)))))
(exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000))
(exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000))
(exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000))
(*.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000)))
(+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v))
(+.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) (/.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) v))
(+.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) v))
(+.f32 (.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000))) (/.f32 (.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000))) v))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v)))
(fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) (*.f32 v v)) (+.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) (/.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) v)))
(+.f32 (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) v) (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) (*.f32 v v)) (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000))))
(+.f32 (/.f32 (.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000))) v) (fma.f32 1/2 (/.f32 (.f32 -1 (pow.f32 (/.f32 -1 v) -1)) (.f32 (.f32 v v) (exp.f32 6931/10000))) (*.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 2))) (+.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (+.f32 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v) (.f32 1/6 (/.f32 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) (pow.f32 v 3))))))
(fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) (.f32 v v)) (+.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) (+.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)) v) (/.f32 (.f32 1/6 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000))) (pow.f32 v 3)))))
(+.f32 (fma.f32 1/6 (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) (pow.f32 v 3)) (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) v)) (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)) (*.f32 v v)) (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000))))
(+.f32 (fma.f32 1/6 (/.f32 (.f32 -1 (pow.f32 (/.f32 -1 v) -1)) (.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (/.f32 (.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000))) v)) (fma.f32 1/2 (/.f32 (.f32 -1 (pow.f32 (/.f32 -1 v) -1)) (.f32 (.f32 v v) (exp.f32 6931/10000))) (*.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000)))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (log.f32 v)) 6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (/.f32 1 v) (+.f32 (log.f32 v) -6931/10000))))
(/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (/.f32 1 v) -6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1/2 (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(-.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))))
(-.f32 (/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))) (/.f32 1/2 (*.f32 v (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (/.f32 -1/2 (.f32 v (*.f32 v (exp.f32 -6931/10000)))))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 (.f32 v (.f32 v (exp.f32 -6931/10000)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 v 2) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))))
(+.f32 (/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))) (-.f32 (/.f32 1/4 (.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (.f32 v v))) (/.f32 1/2 (*.f32 v (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))))))
(+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (/.f32 1/4 (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (/.f32 -1/2 (.f32 v (*.f32 v (exp.f32 -6931/10000))))))
(+.f32 (/.f32 1/4 (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 (.f32 v (.f32 v (exp.f32 -6931/10000))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))) (.f32 1/4 (/.f32 1 (.f32 (pow.f32 v 2) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))) (+.f32 (.f32 1/12 (/.f32 1 (.f32 (pow.f32 v 3) (exp.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000))))) (.f32 1/2 (/.f32 1 (.f32 v (exp.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 v))) 6931/10000)))))))
(+.f32 (/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000))) (-.f32 (/.f32 1/4 (.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (.f32 v v))) (+.f32 (/.f32 1/2 (.f32 v (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))) (/.f32 1/12 (.f32 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)) (pow.f32 v 3))))))
(+.f32 (+.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (-.f32 (/.f32 1/4 (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (/.f32 1/12 (/.f32 (pow.f32 v 4) (exp.f32 6931/10000))))) (/.f32 -1/2 (.f32 v (*.f32 v (exp.f32 -6931/10000)))))
(-.f32 (+.f32 (/.f32 1/4 (/.f32 (pow.f32 v 3) (exp.f32 6931/10000))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (/.f32 -1/2 (.f32 v (.f32 v (exp.f32 -6931/10000)))))) (/.f32 1/12 (/.f32 (pow.f32 v 4) (exp.f32 6931/10000))))
(/.f32 1/2 (exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)))
(/.f32 1/2 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)))
(.f32 (/.f32 1/2 (.f32 -1 (pow.f32 (/.f32 -1 v) -1))) (exp.f32 6931/10000))
(-.f32 (.f32 1/2 (/.f32 1 (exp.f32 (-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)))) (.f32 1/2 (/.f32 1 (.f32 (exp.f32 (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 v))) (log.f32 -1)) 6931/10000)) v))))
(-.f32 (/.f32 1/2 (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000))) (/.f32 1/2 (*.f32 v (exp.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) (log.f32 -1)) -6931/10000)))))
(+.f32 (/.f32 1/2 (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000))) (/.f32 -1/2 (*.f32 v (exp.f32 (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 v))) -6931/10000)))))
(fma.f32 (/.f32 1/2 (.f32 -1 (pow.f32 (/.f32 -1 v) -1))) (exp.f32 6931/10000) (/.f32 -1/2 (.f32 v (*.f32 -1 (exp.f32 (fma.f32 -1 (log.f32 (/.f32 -1 v)) -6931/10000))))))
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(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (/.f32 1/2 v) 3)))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))))
(/.f32 1/2 (exp.f32 (fma.f32 -1 (neg.f32 (log.f32 v)) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 1 v)))) 1)
(exp.f32 (/.f32 1 v))
(*.f32 1 (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 1 v))
(*.f32 (exp.f32 (/.f32 1 v)) 1)
(exp.f32 (/.f32 1 v))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2))
(exp.f32 (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(/.f32 1 (exp.f32 (/.f32 1 v)))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) 1))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 -1 (neg.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 (/.f32 1 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2)) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(/.f32 (/.f32 1 (sqrt.f32 (exp.f32 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 (/.f32 1 v)) 1)
(exp.f32 (/.f32 1 v))
(pow.f32 (exp.f32 (/.f32 1 v)) -1)
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(exp.f32 (neg.f32 (/.f32 1 v)))
(exp.f32 (/.f32 -1 v))
(pow.f32 (E.f32) (/.f32 1 v))
(exp.f32 (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 3)
(exp.f32 (/.f32 1 v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3) 1/3)
(exp.f32 (/.f32 1 v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) 2)
(exp.f32 (/.f32 1 v))
(pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2))
(exp.f32 (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 2))
(fabs.f32 (exp.f32 (/.f32 1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 1 v)))))
(exp.f32 (/.f32 1 v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3))
(exp.f32 (/.f32 1 v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 1 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 (exp.f32 (/.f32 1 v)) (/.f32 1/2 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 2))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 2) (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (cbrt.f32 (.f32 1/4 (pow.f32 v -2))) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(.f32 (cbrt.f32 (.f32 1/4 (pow.f32 v -2))) (*.f32 (exp.f32 (/.f32 1 v)) (cbrt.f32 (/.f32 1/2 v))))
(.f32 (exp.f32 (/.f32 1 v)) (.f32 (cbrt.f32 (*.f32 1/4 (pow.f32 v -2))) (cbrt.f32 (/.f32 1/2 v))))
(.f32 (sqrt.f32 (.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (sqrt.f32 (/.f32 1/2 v)) (.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 -1/2 (/.f32 1 (.f32 v (neg.f32 (exp.f32 (/.f32 1 v))))))
(/.f32 -1/2 (*.f32 v (neg.f32 (exp.f32 (/.f32 1 v)))))
(/.f32 -1/2 (*.f32 (exp.f32 (/.f32 1 v)) (neg.f32 v)))
(*.f32 (/.f32 (exp.f32 (/.f32 1 v)) v) 1/2)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2)) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(.f32 (.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(*.f32 (/.f32 1/2 (neg.f32 v)) (neg.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (neg.f32 (exp.f32 (/.f32 1 v))) (/.f32 1/2 (neg.f32 v)))
(*.f32 (neg.f32 (/.f32 -1/2 v)) (exp.f32 (/.f32 1 v)))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 3)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 3) 1/3)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))) 2)
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(pow.f32 (.f32 (.f32 v (exp.f32 (/.f32 1 v))) 2) -1)
(/.f32 1 (.f32 v (.f32 (exp.f32 (/.f32 1 v)) 2)))
(/.f32 1/2 (*.f32 v (exp.f32 (/.f32 1 v))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 2))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v)))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (/.f32 1 v)) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 1 v)) v))

eval198.0ms (2.3%)

Compiler: Compiled 9769 to 7476 computations (23.5% saved)

prune96.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	471	2	473
Fresh	0	2	2
Picked	3	2	5
Done	2	1	3
Total	476	7	483

Accurracy

100.0%

Counts

483 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (pow.f32 (.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (/.f32 -1 v))))) 1/3) 3)
✓	99.4%	(/.f32 1/2 (/.f32 v (exp.f32 (/.f32 -1 v))))
✓	99.9%	(/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
	99.4%	(/.f32 1/2 (exp.f32 (/.f32 1 v)))
✓	99.9%	(/.f32 1/2 (exp.f32 (-.f32 (log.f32 v) (-.f32 6931/10000 (/.f32 1 v)))))
	4.5%	(/.f32 1/2 v)
	99.5%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))

Compiler

Compiled 425 to 291 computations (31.5% saved)

regimes100.0ms (1.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

9 calls:

22.0ms	cosTheta_i
12.0ms	sinTheta_O
11.0ms	cosTheta_O
10.0ms	v
10.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`
99.9%	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)))))`
99.9%	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))))`
99.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 420 to 279 computations (33.6% saved)

regimes53.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`
99.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 183 to 130 computations (29% saved)

regimes36.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	sinTheta_O
6.0ms	cosTheta_O
6.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	sinTheta_i
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.4%	1	`cosTheta_i`
99.4%	1	`cosTheta_O`
99.4%	1	`sinTheta_i`
99.4%	1	`sinTheta_O`
99.4%	1	`v`
99.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 104 to 78 computations (25% saved)

regimes35.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`cosTheta_i`
99.4%	1	`cosTheta_O`
99.4%	1	`sinTheta_i`
99.4%	1	`sinTheta_O`
99.4%	1	`v`
99.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 96 to 72 computations (25% saved)

regimes26.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
14.6%	1	`cosTheta_i`
14.6%	1	`cosTheta_O`
14.6%	1	`sinTheta_i`
14.6%	1	`sinTheta_O`
14.6%	1	`v`
14.6%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 70 to 54 computations (22.9% saved)

regimes13.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 1/2 v)

Outputs
(/.f32 1/2 v)

Calls

5 calls:

3.0ms	cosTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	sinTheta_O
2.0ms	v

Results

Accuracy	Segments	Branch
4.5%	1	`cosTheta_O`
4.5%	1	`sinTheta_O`
4.5%	1	`v`
4.5%	1	`cosTheta_i`
4.5%	1	`sinTheta_i`

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`unsub-neg`
26×	`neg-mul-1`
18×	`neg-sub0`
16×	`sub-neg`
14×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	126
1	35	126
2	46	126
3	63	126
4	97	126
5	109	126
6	118	126
7	130	126
8	144	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 74 to 63 computations (14.9% saved)

soundness645.0ms (7.3%)

Rules

1828×	`fma-def`
1828×	`fma-def`
1068×	`fma-def`
1054×	`associate-r`
1016×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	69
1	55	65
2	149	61
3	580	57
4	2989	57
0	505	18157
1	1366	17141
2	5681	15967
0	38	351
1	828	351
0	24	69
1	55	65
2	149	61
3	580	57
4	2989	57
0	815	18935
1	2190	17217

Stop Event

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

Compiler

Compiled 496 to 299 computations (39.7% saved)

end0.0ms (0%)

preprocess50.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 222 to 176 computations (20.7% saved)

analyze569.0ms (6.4%)

sample2.4s (27.8%)

preprocess72.0ms (0.8%)

simplify41.0ms (0.5%)

eval2.0ms (0%)

prune3.0ms (0%)

localize334.0ms (3.8%)

series99.0ms (1.1%)

rewrite113.0ms (1.3%)

simplify193.0ms (2.2%)

eval122.0ms (1.4%)

prune67.0ms (0.8%)

localize719.0ms (8.2%)

series108.0ms (1.2%)

rewrite102.0ms (1.2%)

simplify251.0ms (2.8%)

eval420.0ms (4.8%)

prune98.0ms (1.1%)

localize466.0ms (5.3%)

series94.0ms (1.1%)

rewrite103.0ms (1.2%)

simplify143.0ms (1.6%)

eval279.0ms (3.2%)

prune98.0ms (1.1%)

localize285.0ms (3.2%)

series56.0ms (0.6%)

rewrite116.0ms (1.3%)

simplify155.0ms (1.8%)

eval198.0ms (2.3%)

prune96.0ms (1.1%)

regimes100.0ms (1.1%)

regimes53.0ms (0.6%)

regimes36.0ms (0.4%)

regimes35.0ms (0.4%)

regimes26.0ms (0.3%)

regimes13.0ms (0.1%)

simplify9.0ms (0.1%)

soundness645.0ms (7.3%)

end0.0ms (0%)

preprocess50.0ms (0.6%)

Profiling