Metrics for HairBSDF, Mp, lower

analyze587.0ms (4.8%)

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 (19.9%)

Results

2.4s	8256×	body	256	valid
36.0ms	146×	body	256	invalid

Bogosity

preprocess298.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 169 to 80 computations (52.7% saved)

eval2.0ms (0%)

Compiler: Compiled 71 to 45 computations (36.6% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 110 to 78 computations (29.1% saved)

localize323.0ms (2.6%)

Localize:

Found 8 expressions with local error:

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

Compiler

Compiled 218 to 89 computations (59.2% saved)

series51.0ms (0.4%)

Counts

8 → 384

Calls

96 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
6.0ms	v	@	-inf	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
4.0ms	v	@	inf	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
2.0ms	v	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
2.0ms	sinTheta_i	@	0	(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))

rewrite188.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`frac-times`
301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
295×	`add-exp-log`
294×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	393
1	690	353

Stop Event

1×	node limit

Counts

8 → 266

Calls

Call 1

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

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

simplify275.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1070×	`times-frac`
914×	`associate-r`
844×	`fma-def`
750×	`associate-l`
330×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	42747
1	2436	40840

Stop Event

1×	node limit

Counts

650 → 450

Calls

Call 1

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

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

eval255.0ms (2.1%)

Compiler: Compiled 16261 to 8800 computations (45.9% saved)

prune101.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	440	10	450
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	442	10	452

Accuracy

99.9%

Counts

452 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 3)
▶	99.8%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	74.0%	(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
▶	99.8%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.8%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	97.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	15.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)))
▶	15.4%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
	99.8%	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 3)
▶	99.8%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	74.0%	(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
▶	99.8%	(.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
▶	4.7%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
	99.8%	(.f32 (.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
	97.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) 1)) v))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	15.4%	(exp.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)))
▶	15.4%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 820 to 616 computations (24.9% saved)

localize573.0ms (4.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	99.8%	(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))
✓	99.7%	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
✓	89.4%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
✓	99.8%	(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
✓	99.6%	(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	78.6%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	100.0%	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	75.8%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	98.8%	(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
✓	99.8%	(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
✓	99.7%	(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
✓	78.6%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Compiler

Compiled 294 to 135 computations (54.1% saved)

series40.0ms (0.3%)

Counts

15 → 333

Calls

150 calls:

Time	Variable		Point	Expression
11.0ms	sinTheta_O	@	0	(exp.f32 (.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
1.0ms	v	@	-inf	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
1.0ms	sinTheta_O	@	0	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
1.0ms	v	@	inf	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
1.0ms	cosTheta_O	@	0	(pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`log1p-expm1-u`
365×	`expm1-log1p-u`
361×	`add-exp-log`
359×	`add-log-exp`
355×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	624
1	758	620

Stop Event

1×	node limit

Counts

15 → 379

Calls

Call 1

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

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

simplify289.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1246×	`fma-def`
650×	`sqr-pow`
534×	`times-frac`
496×	`associate-+l+`
478×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1038	43406
1	2728	37784

Stop Event

1×	node limit

Counts

712 → 638

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (.f32 -1 (log.f32 v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 1 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 1 v))
(+.f32 6931/10000 (-.f32 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 1 v)))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))) (-.f32 6931/10000 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i 1) v)))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))) (-.f32 6931/10000 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i 1) v)))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))) (-.f32 6931/10000 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i 1) v)))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
(+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1))))
(fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2))) (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1)))))
(fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (fma.f32 1/2 (/.f32 (.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (pow.f32 v 2)) (/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1)))))
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(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (fma.f32 1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 3))) (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2))) (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (neg.f32 (log.f32 v))))) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1))))))
(fma.f32 (exp.f32 6931/10000) (/.f32 1/2 v) (fma.f32 1/6 (/.f32 (.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 3) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (pow.f32 v 2)) (/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (/.f32 v (fma.f32 cosTheta_O cosTheta_i -1))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000)))
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(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 v (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i)))))))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 -1 v)) (+.f32 (log.f32 -1/2) 6931/10000))) (/.f32 v (fma.f32 (neg.f32 cosTheta_O) cosTheta_i 1))))
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(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (fma.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 v (+.f32 1 (neg.f32 (.f32 cosTheta_O cosTheta_i))))) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (/.f32 (pow.f32 v 2) (pow.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) 2))))))
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(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 3) (pow.f32 (.f32 sinTheta_O sinTheta_i) 3)) (+.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 2) (+.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) 2) (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 3) (pow.f32 (.f32 sinTheta_O sinTheta_i) 3)) (+.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 2) (+.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) 2) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 3) (pow.f32 (.f32 sinTheta_O sinTheta_i) 3)) (+.f32 (pow.f32 (.f32 cosTheta_O cosTheta_i) 2) (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i)))))
(pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) 1)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(pow.f32 (cbrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) 3)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(pow.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) 3) 1/3)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(pow.f32 (sqrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) 2)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(sqrt.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) 2))
(fabs.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
(log.f32 (exp.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(cbrt.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) 3))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(expm1.f32 (log1p.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(exp.f32 (log.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) 1))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(log1p.f32 (expm1.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 1 (.f32 cosTheta_O cosTheta_i) (neg.f32 (.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 1 (.f32 cosTheta_O cosTheta_i) (.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 1 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 (*.f32 sinTheta_O sinTheta_i) 0))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) 2) (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) 2) (cbrt.f32 (.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) 2) (cbrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 (*.f32 sinTheta_O sinTheta_i) 0))
(fma.f32 (sqrt.f32 (.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (sqrt.f32 (.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (sqrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 (*.f32 sinTheta_O sinTheta_i) 0))

eval349.0ms (2.8%)

Compiler: Compiled 18081 to 10926 computations (39.6% saved)

prune187.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	642	17	659
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	651	18	669

Accuracy

99.9%

Counts

669 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 3)
▶	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
	99.8%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	86.9%	(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
▶	6.3%	(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
	6.3%	(+.f32 1 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	99.8%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 1) v))))
▶	99.8%	(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v))))) 2))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	99.8%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
▶	15.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	12.5%	(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
	6.4%	1
	99.8%	(pow.f32 (cbrt.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))) 3)
▶	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
	99.8%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	86.9%	(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
▶	6.3%	(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
	6.3%	(+.f32 1 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	99.8%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 1) v))))
▶	99.8%	(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v))))) 2))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	99.8%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
▶	15.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	12.5%	(exp.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
	6.4%	1

Compiler

Compiled 1284 to 1004 computations (21.8% saved)

localize671.0ms (5.5%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))
✓	99.8%	(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v))))
✓	99.4%	(sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
✓	99.3%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
✓	100.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
✓	99.8%	(exp.f32 (/.f32 -1 v))
✓	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	100.0%	(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
✓	75.8%	(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
✓	100.0%	(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
	99.3%	(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
✓	99.8%	(exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
✓	99.7%	(-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	99.3%	(cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
✓	99.3%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))

Compiler

Compiled 301 to 159 computations (47.2% saved)

series43.0ms (0.3%)

Counts

14 → 416

Calls

108 calls:

Time	Variable		Point	Expression
10.0ms	v	@	0	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
3.0ms	cosTheta_i	@	inf	(cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
2.0ms	v	@	-inf	(cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
2.0ms	cosTheta_O	@	inf	(cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
2.0ms	v	@	inf	(cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`add-exp-log`
354×	`log1p-expm1-u`
354×	`expm1-log1p-u`
352×	`add-log-exp`
352×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	528
1	760	508

Stop Event

1×	node limit

Counts

14 → 301

Calls

Call 1

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

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

simplify267.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1198×	`fma-def`
742×	`times-frac`
688×	`sqr-pow`
478×	`*-commutative`
420×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1066	38467
1	2932	36864

Stop Event

1×	node limit

Counts

717 → 564

Calls

Call 1

Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 7)) 1/9) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 7)) 1/9) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2)) 1/3) (.f32 (pow.f32 cosTheta_O 2) (-.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (pow.f32 v 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 17)) 1/9) (/.f32 (pow.f32 cosTheta_i 2) (pow.f32 v 2)))))))) (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 7)) 1/9) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2)) 1/3) (.f32 (pow.f32 cosTheta_O 2) (-.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (pow.f32 v 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 17)) 1/9) (/.f32 (pow.f32 cosTheta_i 2) (pow.f32 v 2)))))))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2)) 1/3) (.f32 (pow.f32 cosTheta_O 3) (-.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (pow.f32 v 3))) (+.f32 (.f32 1/27 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 7)) 1/3) (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 v 3)))) (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 4)) 1/9) (/.f32 (.f32 cosTheta_i (-.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) (pow.f32 v 2))) (.f32 1/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 17)) 1/9) (/.f32 (pow.f32 cosTheta_i 2) (pow.f32 v 2)))))) v)))))))) (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3))))
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/6 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 3))) (+.f32 (.f32 1/27 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/3) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 3))) (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 4)) 1/9) (.f32 (-.f32 (.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)))) (-.f32 (.f32 cosTheta_O cosTheta_i) 1)))))) (pow.f32 v 3)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) 1) 2)))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/9) (/.f32 (+.f32 1 (.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/9) (/.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2))) (.f32 1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 17)) 1/9) (pow.f32 (+.f32 1 (.f32 -1 (.f32 cosTheta_O cosTheta_i))) 2)))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3)))
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(*.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) 1)
(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))
(pow.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i) (/.f32 1 v))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) 3)
(pow.f32 (pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) 2)
(pow.f32 (exp.f32 1) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) 2)) (cbrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sqrt.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(sqrt.f32 (pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) 2))
(log.f32 (exp.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) 3))
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(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v))) 1)
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2) (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)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2)
(pow.f32 (/.f32 v (exp.f32 6931/10000)) -1)
(sqrt.f32 (/.f32 (exp.f32 6931/5000) (pow.f32 v 2)))
(log.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 6931/10000) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))
(exp.f32 (-.f32 6931/10000 (log.f32 v)))
(exp.f32 (*.f32 (-.f32 6931/10000 (log.f32 v)) 1))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) (sqrt.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (exp.f32 (/.f32 1 v)) 1)
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 1 v))) 2)
(pow.f32 (exp.f32 1) (/.f32 1 v))
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(pow.f32 (exp.f32 (pow.f32 v -1/2)) (pow.f32 v -1/2))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 1 v)) 2))
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(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 1 v)))))
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(pow.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v))))) 2)
(sqrt.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))) 2))
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(cbrt.f32 (pow.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 1 v)))) 3))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) 1)
(*.f32 cosTheta_O (/.f32 1 (/.f32 v cosTheta_i)))
(.f32 1 (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) 2) (cbrt.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
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(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) 3)
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(pow.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) 3) 1/3)
(pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) -1)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) 3))
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(exp.f32 (log.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i)) 1))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
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(.f32 1 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(.f32 (sqrt.f32 (exp.f32 6931/10000)) (pow.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1/2))
(.f32 (sqrt.f32 (exp.f32 6931/10000)) (sqrt.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1/4) (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1/4))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 2) 1/2) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 1/2))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 2)) (sqrt.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1/2)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 3/2) 1/3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1/4) 2)
(fabs.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(log.f32 (exp.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(exp.f32 (.f32 1/2 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(exp.f32 (.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1/2))
(exp.f32 (.f32 (.f32 1/2 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))) 1)
(.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))
(.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(.f32 (exp.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) (exp.f32 6931/10000))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 2)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 2) 1/2)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 3))
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(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(-.f32 (+.f32 6931/10000 (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 1 v))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))) 1)
(.f32 1 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)) 2) (.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)) 2)) (-.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))
(pow.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(exp.f32 (.f32 (log.f32 (+.f32 6931/10000 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)))))
(fma.f32 1 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 2) (cbrt.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 6931/10000)
(fma.f32 (sqrt.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) (sqrt.f32 (-.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 6931/10000)

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

eval461.0ms (3.8%)

Compiler: Compiled 20069 to 14951 computations (25.5% saved)

prune161.0ms (1.3%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	585	11	596
Fresh	3	10	13
Picked	3	2	5
Done	0	0	0
Total	591	23	614

Accuracy

99.9%

Counts

614 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 3)
▶	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3)
	99.8%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	86.9%	(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
	6.3%	(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
	99.8%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 1) v))))
	22.5%	(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
	99.8%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1/2)) 2))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	99.7%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
✓	99.8%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(.f32 (.f32 1/2 (expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))) (exp.f32 (/.f32 -1 v)))
	99.8%	(.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (log.f32 v)))) (exp.f32 (/.f32 -1 v)))
	99.8%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
	42.0%	(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
▶	22.5%	(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
✓	15.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶	12.4%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	6.4%	1
	99.8%	(pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 3)
▶	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3)
	99.8%	(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
	86.9%	(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
	6.3%	(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
	99.8%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 1) v))))
	22.5%	(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
	99.8%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1/2)) 2))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
▶	99.7%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
✓	99.8%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(.f32 (.f32 1/2 (expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))) (exp.f32 (/.f32 -1 v)))
	99.8%	(.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (log.f32 v)))) (exp.f32 (/.f32 -1 v)))
	99.8%	(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
	42.0%	(.f32 -1 (/.f32 (.f32 sinTheta_O sinTheta_i) v))
▶	22.5%	(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
	97.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
✓	15.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶	12.4%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
▶	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	6.4%	1

Compiler

Compiled 1484 to 1190 computations (19.8% saved)

localize495.0ms (4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (exp.f32 -1) (/.f32 1 v)))
✓	99.7%	(pow.f32 (exp.f32 -1) (/.f32 1 v))
	99.0%	(/.f32 (exp.f32 6931/10000) v)
✓	100.0%	(log.f32 (/.f32 1/2 v))
✓	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	99.8%	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	100.0%	(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
✓	99.3%	(/.f32 sinTheta_O (/.f32 v sinTheta_i))
✓	99.3%	(/.f32 sinTheta_O (/.f32 v sinTheta_i))
✓	99.9%	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
✓	99.8%	(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))
✓	99.3%	(cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))

Compiler

Compiled 190 to 131 computations (31.1% saved)

series53.0ms (0.4%)

Counts

13 → 220

Calls

57 calls:

Time	Variable		Point	Expression
15.0ms	v	@	0	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
10.0ms	v	@	0	(cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
8.0ms	v	@	-inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
7.0ms	v	@	inf	(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
3.0ms	v	@	-inf	(cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))

rewrite213.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`prod-diff`
712×	`expm1-udef`
328×	`associate-r`
204×	`associate-l`
202×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	374
1	443	368
2	6271	368

Stop Event

1×	node limit

Counts

13 → 558

Calls

Call 1

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

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

simplify259.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-r`
854×	`fma-def`
822×	`associate-l`
432×	`sqr-pow`
390×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	881	37124
1	2229	34951

Stop Event

1×	node limit

Counts

778 → 511

Calls

Call 1

Inputs
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 1 v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 1 v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 -1/6 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 4)) 1/9) (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9))))) (.f32 -1/27 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/3)))) (pow.f32 v 3)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 1/3 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/9) (/.f32 1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/9) (/.f32 1 v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 17)) 1/9))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/9) (/.f32 1 v))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/6 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (+.f32 (.f32 1/27 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 7)) 1/3)) (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 4)) 1/9) (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 17)) 1/9))))))) (pow.f32 v 3)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))) (.f32 1/3 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 17)) 1/9))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) 1/3))))
(/.f32 -1 v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2))))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
1
(+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
(+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
1
(+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
1
(+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (.f32 1/6 (/.f32 (.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 -1 v)
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(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))) (/.f32 1 v))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))) (/.f32 1 v))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (*.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)) (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (.f32 -1 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) v)) (+.f32 (.f32 -1/6 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 v 2))))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 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 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
1
(-.f32 1 (/.f32 1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))) 1)
(.f32 1 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1)
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 2))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 2) (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/6) (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/6))
(.f32 (pow.f32 1 1/3) (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(.f32 (pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1/3) (pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1/3))
(.f32 (cbrt.f32 1/2) (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1)
(pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/3)
(pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 3)
(pow.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 2))
(log.f32 (exp.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(exp.f32 (*.f32 1/3 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
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(.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (/.f32 1 (+.f32 48038761/100000000 (.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 1 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000)))
(/.f32 1 (/.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (-.f32 48038761/100000000 (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 332956652491/1000000000000)) (neg.f32 (+.f32 48038761/100000000 (*.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))) (neg.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) 48038761/100000000) (-.f32 (log.f32 (/.f32 1/2 v)) 6931/10000))
(pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))
(log.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(fma.f32 1 (log.f32 (/.f32 1/2 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(fma.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))) 6931/10000)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))
(+.f32 0 (log.f32 (/.f32 1/2 v)))
(+.f32 (log.f32 (cbrt.f32 (*.f32 1/4 (pow.f32 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 (fma.f32 1 (log.f32 1/2) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 1 (log.f32 1/2) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (*.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))))))
(+.f32 (fma.f32 1 (log.f32 1/2) (neg.f32 (log.f32 v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 (fma.f32 (.f32 (cbrt.f32 (log.f32 1/2)) (cbrt.f32 (log.f32 1/2))) (cbrt.f32 (log.f32 1/2)) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (*.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 (.f32 (cbrt.f32 (log.f32 1/2)) (cbrt.f32 (log.f32 1/2))) (cbrt.f32 (log.f32 1/2)) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))))))
(+.f32 (fma.f32 (*.f32 (cbrt.f32 (log.f32 1/2)) (cbrt.f32 (log.f32 1/2))) (cbrt.f32 (log.f32 1/2)) (neg.f32 (log.f32 v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 (fma.f32 (sqrt.f32 (log.f32 1/2)) (sqrt.f32 (log.f32 1/2)) (neg.f32 (.f32 (log.f32 v) 1))) (fma.f32 (neg.f32 (log.f32 v)) 1 (.f32 (log.f32 v) 1)))
(+.f32 (fma.f32 (sqrt.f32 (log.f32 1/2)) (sqrt.f32 (log.f32 1/2)) (neg.f32 (.f32 (cbrt.f32 (log.f32 v)) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v)))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))) (.f32 (cbrt.f32 (log.f32 v)) (*.f32 (cbrt.f32 (log.f32 v)) (cbrt.f32 (log.f32 v))))))
(+.f32 (fma.f32 (sqrt.f32 (log.f32 1/2)) (sqrt.f32 (log.f32 1/2)) (neg.f32 (log.f32 v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(-.f32 (log.f32 1/2) (log.f32 v))
(-.f32 0 (log.f32 (*.f32 v 2)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 1/2 v)))) 1)
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(*.f32 (log.f32 (/.f32 1/2 v)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 v)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2))
(*.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))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 1/2) (log.f32 v)))
(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 2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 v))))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 v))) 1))
(log1p.f32 (-.f32 (/.f32 1/2 v) 1))
(-.f32 (exp.f32 (log1p.f32 (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))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (pow.f32 1 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 -2)) (/.f32 1 v)) (pow.f32 (cbrt.f32 (exp.f32 -1)) (/.f32 1 v)))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 1 v)) (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 1 v)))
(sqrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 (/.f32 -1 v) 1))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 1)
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (neg.f32 (exp.f32 (/.f32 1 v))))
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 3)
(pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1)
(pow.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)) 1/2) (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 3))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3) (pow.f32 (exp.f32 (/.f32 -1 v)) 3)))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))

Outputs
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 1/3)
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 1 v))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3))
(fma.f32 -1/3 (.f32 (/.f32 1 v) (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 7) 1/18) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 7) 1/18))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 7) 1/18) (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 7) 1/18)) v) (cbrt.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 7)) 1/9) (/.f32 1 v))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 2)) 1/3) (/.f32 (-.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))) (.f32 1/3 (pow.f32 (.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 17)) 1/9))) (pow.f32 v 2)))) (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) 1/3)))
(fma.f32 -1/3 (.f32 (/.f32 1 v) (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 7) 1/18) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 7) 1/18))) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))) (/.f32 (+.f32 (.f32 1/2 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (.f32 -1/3 (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 17) 1/18) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 17) 1/18)))) (pow.f32 v 2))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 7) 1/18) (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 7) 1/18)) v) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 2))) (/.f32 (fma.f32 1/2 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (.f32 -1/3 (.f32 (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 17) 1/18) (pow.f32 (pow.f32 (.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) 17) 1/18)))) (pow.f32 v 2))) (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)))))
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(+.f32 (-.f32 (exp.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))) (/.f32 (exp.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))) v)) (fma.f32 1/2 (/.f32 (exp.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))) (pow.f32 v 2)) (/.f32 (*.f32 -1/6 (exp.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000)))) (pow.f32 v 3))))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))
(+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))
(+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 v)) 6931/10000))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 -1 v))
1
(-.f32 1 (/.f32 1 v))
(+.f32 1 (/.f32 -1 v))
(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (/.f32 1 v)))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
1
(-.f32 1 (/.f32 1 v))
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(-.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (/.f32 1 v))
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(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (/.f32 1 v)))
(-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 (pow.f32 v 2)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 v 3))) (/.f32 1 v)))
(+.f32 1 (-.f32 (/.f32 1/2 (pow.f32 v 2)) (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(+.f32 (/.f32 1/2 (pow.f32 v 2)) (-.f32 1 (+.f32 (/.f32 1 v) (/.f32 1/6 (pow.f32 v 3)))))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(.f32 1/2 (/.f32 (.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (/.f32 (*.f32 -1/2 (exp.f32 6931/10000)) (pow.f32 v 2)))
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(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
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(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 1/2 (/.f32 (exp.f32 6931/10000) v) (/.f32 (*.f32 -1/2 (exp.f32 6931/10000)) (pow.f32 v 2)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
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(fma.f32 -1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 -1/12 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/4 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))) 1)
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 1 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1)
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 2))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 2) (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/6) (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/6))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (pow.f32 1 1/3) (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) 2)))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))) 2)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1/3) (pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 1/3))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))) (cbrt.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))) (cbrt.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(.f32 (cbrt.f32 1/2) (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (/.f32 (exp.f32 6931/10000) v))))
(*.f32 (cbrt.f32 1/2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (cbrt.f32 1/2) (cbrt.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(/.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (cbrt.f32 (exp.f32 (/.f32 1 v))))
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(pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1/3)
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(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
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(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))))
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(expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
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(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(exp.f32 (*.f32 1/3 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
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(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(exp.f32 (*.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) 1/3))
(cbrt.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(cbrt.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v)))
(exp.f32 (.f32 (.f32 1/3 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 1))
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(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))))
(log.f32 (/.f32 1/2 v))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))))
(log.f32 (/.f32 1/2 v))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (fma.f32 (log.f32 1/2) (log.f32 1/2) (*.f32 (log.f32 v) (+.f32 (log.f32 1/2) (log.f32 v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 v) 3)) (fma.f32 (log.f32 v) (+.f32 (log.f32 1/2) (log.f32 v)) (*.f32 (log.f32 1/2) (log.f32 1/2))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 1/2) (log.f32 v)))
(/.f32 (*.f32 (+.f32 (log.f32 1/2) (log.f32 v)) (log.f32 (/.f32 1/2 v))) (+.f32 (log.f32 1/2) (log.f32 v)))
(pow.f32 (log.f32 (/.f32 1/2 v)) 1)
(log.f32 (/.f32 1/2 v))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 3)
(log.f32 (/.f32 1/2 v))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 1/3)
(log.f32 (/.f32 1/2 v))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) 2)
(log.f32 (/.f32 1/2 v))
(neg.f32 (log.f32 (*.f32 v 2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))
(fabs.f32 (log.f32 (/.f32 1/2 v)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))
(log.f32 (/.f32 1/2 v))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 v))))
(log.f32 (/.f32 1/2 v))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 v))))
(log.f32 (/.f32 1/2 v))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 v))) 1))
(log.f32 (/.f32 1/2 v))
(log1p.f32 (-.f32 (/.f32 1/2 v) 1))
(log1p.f32 (+.f32 (/.f32 1/2 v) -1))
(-.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))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) (cbrt.f32 (pow.f32 (exp.f32 -2) (/.f32 1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(*.f32 (pow.f32 1 (/.f32 1 v)) (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 -2)) (/.f32 1 v)) (pow.f32 (cbrt.f32 (exp.f32 -1)) (/.f32 1 v)))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 1 v)) (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 1 v)))
(pow.f32 (sqrt.f32 (exp.f32 -1)) (*.f32 2 (/.f32 1 v)))
(pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 2 v))
(sqrt.f32 (pow.f32 (exp.f32 -2) (/.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))
(exp.f32 (/.f32 -1 v))
(exp.f32 (*.f32 (/.f32 -1 v) 1))
(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 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 1)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 1 v)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (neg.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) (neg.f32 (exp.f32 (/.f32 1 v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (exp.f32 6931/10000))) v)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(/.f32 (.f32 (.f32 1/2 (exp.f32 6931/10000)) (exp.f32 (/.f32 -1 v))) v)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(pow.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 3)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 1)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(pow.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 3) 1/3)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(pow.f32 (sqrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))) 2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(sqrt.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 2))
(sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)) 1/2) (exp.f32 (/.f32 -1 v))))
(*.f32 (exp.f32 (/.f32 -1 v)) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(cbrt.f32 (pow.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) 3))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) 3) (pow.f32 (exp.f32 (/.f32 -1 v)) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(expm1.f32 (log1p.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(log1p.f32 (expm1.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))

eval500.0ms (4.1%)

Compiler: Compiled 22045 to 17566 computations (20.3% saved)

prune216.0ms (1.8%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	899	12	911
Fresh	7	9	16
Picked	2	3	5
Done	1	1	2
Total	909	25	934

Accuracy

99.9%

Counts

934 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (exp.f32 (/.f32 -1 v)) (.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))) 3) 3)
	99.7%	(pow.f32 (exp.f32 (*.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))) 1/3)) 3)
	99.8%	(pow.f32 (exp.f32 1) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
	99.8%	(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 1) (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))) 3)
✓	99.8%	(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3)
	86.9%	(/.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (/.f32 1 v)))
	6.3%	(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
	99.8%	(.f32 (pow.f32 (E.f32) 6931/10000) (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 1) v))))
	22.5%	(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
	99.8%	(.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 v))) 1/2)) 2))
	99.7%	(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 1 v)))))
	99.8%	(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
	99.7%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (pow.f32 (sqrt.f32 (exp.f32 -1)) (/.f32 2 v)))
✓	99.8%	(.f32 (.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v)))
	99.8%	(.f32 (.f32 1/2 (exp.f32 (-.f32 6931/10000 (log.f32 v)))) (exp.f32 (/.f32 -1 v)))
	99.8%	(*.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
	42.0%	(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	22.5%	(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
	42.1%	(neg.f32 (/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
	22.5%	(neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
	42.3%	(neg.f32 (*.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 1 sinTheta_i))))
	22.5%	(neg.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 1 (/.f32 (neg.f32 v) sinTheta_i))))
	97.8%	(exp.f32 (/.f32 -1 v))
✓	99.8%	(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
	6.4%	1

Compiler

Compiled 1109 to 782 computations (29.5% saved)

regimes190.0ms (1.5%)

Counts

53 → 1

Calls

Call 1

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

Outputs
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3)

Calls

9 calls:

25.0ms	sinTheta_O
24.0ms	cosTheta_O
23.0ms	sinTheta_i
23.0ms	cosTheta_i
19.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))

Results

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

Compiler

Compiled 799 to 518 computations (35.2% saved)

regimes162.0ms (1.3%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

9 calls:

21.0ms	cosTheta_i
21.0ms	sinTheta_i
20.0ms	cosTheta_O
20.0ms	sinTheta_O
18.0ms	v

Results

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

Compiler

Compiled 669 to 426 computations (36.3% saved)

regimes120.0ms (1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 455 to 282 computations (38% saved)

regimes70.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	sinTheta_i
13.0ms	cosTheta_O
12.0ms	cosTheta_i
12.0ms	v
11.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`

Compiler

Compiled 235 to 132 computations (43.8% saved)

regimes59.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	v
11.0ms	cosTheta_i
11.0ms	sinTheta_O
11.0ms	cosTheta_O
10.0ms	sinTheta_i

Results

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

Compiler

Compiled 175 to 100 computations (42.9% saved)

regimes40.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.3%	1	`cosTheta_i`
42.3%	1	`cosTheta_O`
42.3%	1	`sinTheta_i`
42.3%	1	`sinTheta_O`
42.3%	1	`v`

Compiler

Compiled 117 to 74 computations (36.8% saved)

regimes36.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.1%	1	`v`
42.1%	1	`cosTheta_O`
42.1%	1	`sinTheta_i`
42.1%	1	`sinTheta_O`
42.1%	1	`cosTheta_i`

Compiler

Compiled 107 to 67 computations (37.4% saved)

regimes28.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.0%	1	`cosTheta_O`
42.0%	1	`cosTheta_i`
42.0%	1	`sinTheta_O`
42.0%	1	`v`
42.0%	1	`sinTheta_i`

Compiler

Compiled 81 to 52 computations (35.8% saved)

regimes19.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	sinTheta_i
3.0ms	v
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
22.5%	1	`cosTheta_O`
22.5%	1	`v`
22.5%	1	`sinTheta_i`
22.5%	1	`sinTheta_O`
22.5%	1	`cosTheta_i`

Compiler

Compiled 48 to 37 computations (22.9% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

5 calls:

4.0ms	sinTheta_O
3.0ms	cosTheta_i
3.0ms	v
3.0ms	sinTheta_i
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
6.4%	1	`cosTheta_O`
6.4%	1	`v`
6.4%	1	`sinTheta_i`
6.4%	1	`sinTheta_O`
6.4%	1	`cosTheta_i`

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
28×	`+-commutative`
26×	`sub-neg`
22×	`neg-mul-1`
22×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	303
1	76	303
2	112	295
3	135	295
4	143	295
5	144	295

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))) 3)
(*.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 -1 v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(neg.f32 (*.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 1 sinTheta_i))))
(*.f32 (neg.f32 (/.f32 1 v)) (/.f32 sinTheta_O (/.f32 1 sinTheta_i)))
(*.f32 (/.f32 1 v) (/.f32 (neg.f32 sinTheta_O) (/.f32 1 sinTheta_i)))
(*.f32 (/.f32 sinTheta_O (/.f32 1 sinTheta_i)) (/.f32 -1 v))
(neg.f32 (/.f32 1 (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (neg.f32 1) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(/.f32 -1 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
1

Compiler

Compiled 130 to 109 computations (16.2% saved)

soundness1.9s (15.3%)

Rules

1514×	`prod-diff`
1514×	`prod-diff`
1514×	`prod-diff`
1514×	`prod-diff`
1246×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445
0	43	624
1	758	620
0	1038	43406
1	2728	37784
0	1066	38467
1	2932	36864
0	30	374
1	443	368
2	6271	368
0	30	374
1	443	368
2	6271	368
0	881	37124
1	2229	34951
0	30	374
1	443	368
2	6271	368
0	168	1613
1	467	1537
2	1378	1445
3	6222	1445
0	30	374
1	443	368
2	6271	368

Stop Event

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

Compiler

Compiled 726 to 431 computations (40.6% saved)

end0.0ms (0%)

preprocess80.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 306 to 240 computations (21.6% saved)

analyze587.0ms (4.8%)

sample2.4s (19.9%)

preprocess298.0ms (2.4%)

eval2.0ms (0%)

prune3.0ms (0%)

localize323.0ms (2.6%)

series51.0ms (0.4%)

rewrite188.0ms (1.5%)

simplify275.0ms (2.2%)

eval255.0ms (2.1%)

prune101.0ms (0.8%)

localize573.0ms (4.7%)

series40.0ms (0.3%)

rewrite134.0ms (1.1%)

simplify289.0ms (2.4%)

eval349.0ms (2.8%)

prune187.0ms (1.5%)

localize671.0ms (5.5%)

series43.0ms (0.3%)

rewrite127.0ms (1%)

simplify267.0ms (2.2%)

eval461.0ms (3.8%)

prune161.0ms (1.3%)

localize495.0ms (4%)

series53.0ms (0.4%)

rewrite213.0ms (1.7%)

simplify259.0ms (2.1%)

eval500.0ms (4.1%)

prune216.0ms (1.8%)

regimes190.0ms (1.5%)

regimes162.0ms (1.3%)

regimes120.0ms (1%)

regimes70.0ms (0.6%)

regimes59.0ms (0.5%)

regimes40.0ms (0.3%)

regimes36.0ms (0.3%)

regimes28.0ms (0.2%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.9s (15.3%)

end0.0ms (0%)

preprocess80.0ms (0.6%)

Profiling