Metrics for HairBSDF, Mp, lower

analyze553.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 43 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 99.0ms (28.6% of total)

ival-<=: 72.0ms (20.8% of total)

ival-log: 58.0ms (16.8% of total)

ival-div: 37.0ms (10.7% of total)

ival-add: 25.0ms (7.2% of total)

ival-sub: 18.0ms (5.2% of total)

ival-and: 16.0ms (4.6% of total)

ival-exp: 15.0ms (4.3% of total)

const: 5.0ms (1.4% of total)

backward-pass: 1.0ms (0.3% of total)

sample3.3s (20.2%)

Results

2.6s	8256×	0	valid
71.0ms	146×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 415.0ms (20.2% of total)

ival-add: 399.0ms (19.4% of total)

ival-<=: 369.0ms (18% of total)

ival-log: 305.0ms (14.8% of total)

ival-div: 265.0ms (12.9% of total)

ival-sub: 144.0ms (7% of total)

ival-and: 69.0ms (3.4% of total)

ival-exp: 59.0ms (2.9% of total)

const: 27.0ms (1.3% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`exp-diff`
1500×	`times-frac`
914×	`fma-neg`
660×	`fma-define`
552×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854

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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) 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 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v))))))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(neg.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v)))))))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 sinTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 sinTheta_i v))) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (+.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 sinTheta_O cosTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (-.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 v cosTheta_O) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O v) cosTheta_i) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_i)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 v (/.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i))))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) (+.f32 (.f32 cosTheta_O (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (-.f32 (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (fma.f32 sinTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_O)))))
(.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 v cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (+.f32 (/.f32 (.f32 v sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i)))))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (-.f32 (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i) (fma.f32 v (/.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 #s(literal -1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (+.f32 (.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O)))))
(.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (fma.f32 sinTheta_i (/.f32 v sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(.f32 (exp.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain280.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
93	5	(-5.986634065212414e-29 3.4271695755277184e-33 -0.00013581015809904784 5.2723510890473335e-8 2.2514913949539593e-16)	32	(1.1031490682184442e-30 6.350121302270764e-15 -0.6521073579788208 2.3652086156289442e-7 3.4369431999760727e-19)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
90	6	(-1.914874067369447e-31 -1.0038971433777515e-35 3.693707845486143e-38 7.554808969660702e-25 2.0841927264016804e-17)	35	(-9.628817281535657e-15 -9.764077786528278e-33 1.3337165298834826e-37 1.3596499229606707e-5 3.3205415686957864e-19)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	4	(9.813730876392689e-27 1.3870458466106002e-24 -6.82807757870051e-31 2.4576319540932286e-36 0.0068144723773002625)	0	-	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`

Results

205.0ms

512×

valid

Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 62.0ms (52.9% of total)

ival-div: 29.0ms (24.7% of total)

ival-log: 9.0ms (7.7% of total)

ival-sub: 7.0ms (6% of total)

ival-add: 5.0ms (4.3% of total)

ival-exp: 4.0ms (3.4% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 91 to 37 computations (59.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
▶	99.5%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))

Status

Accuracy

Program

▶

99.6%

(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))

▶

99.5%

(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize380.0ms (2.3%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(/.f32 sinTheta_O v)
✓	cost-diff	0	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.9%	(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓	accuracy	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	accuracy	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.9%	(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	99.6%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))

Rules

1462×	`fma-neg`
1398×	`fma-define`
1316×	`fma-neg`
1296×	`exp-sum`
1022×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	414
1	57	414
2	134	406
3	398	402
4	1381	402
5	3859	399
6	7271	399
0	28	405
1	50	405
2	98	399
3	256	393
4	808	393
5	2300	390
6	4158	362
7	6456	362

Stop Event

1×	node limit
1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Call 2

Inputs
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)

Outputs
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))))
(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)

Results

115.0ms

256×

valid

Compiler

Compiled 216 to 26 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 8.0ms (23.4% of total)

ival-exp: 7.0ms (20.5% of total)

ival-add: 5.0ms (14.6% of total)

ival-mult: 5.0ms (14.6% of total)

ival-log: 4.0ms (11.7% of total)

ival-fma: 3.0ms (8.8% of total)

ival-sub: 2.0ms (5.9% of total)

const: 1.0ms (2.9% of total)

backward-pass: 0.0ms (0% of total)

series232.0ms (1.4%)

Counts

11 → 360

Calls

Call 1

Inputs
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O v))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))>
#<alt (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))>
#<alt (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))>
#<alt (/.f32 cosTheta_O v)>
#<alt (/.f32 sinTheta_O v)>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))>

Outputs
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))>

Calls

105 calls:

Time	Variable		Point	Expression
66.0ms	cosTheta_O	@	-inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
52.0ms	v	@	-inf	(log (/ 1/2 v))
30.0ms	v	@	0	(log (/ 1/2 v))
6.0ms	v	@	inf	(log (/ 1/2 v))
4.0ms	cosTheta_i	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite446.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log1p-expm1-u`
362×	`associate-r`
228×	`associate-l`
222×	`expm1-log1p-u`
215×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	433
1	500	413
2	7305	413

Stop Event

1×	node limit

Counts

11 → 363

Calls

Call 1

Inputs
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(/.f32 cosTheta_O v)
(/.f32 sinTheta_O v)
(/.f32 #s(literal 1/2 binary32) v)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 1 binary32))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.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))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) #s(literal 1 binary32))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32))))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32))) (+.f32 (.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32))) (.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(-.f32 (log.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(.f32 (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 sinTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O v)))
(exp.f32 (log.f32 (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(sqrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1/2 binary32) v))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (/.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v))) (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(/.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) (.f32 v #s(literal -1 binary32))) (.f32 v (neg.f32 v)))
(/.f32 (+.f32 v (.f32 v (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (neg.f32 v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))

simplify526.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1280×	`fma-define`
690×	`distribute-rgt-in`
676×	`times-frac`
666×	`distribute-lft-in`
520×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1239	49346
1	3311	45938

Stop Event

1×	node limit

Counts

723 → 728

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 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
(*.f32 (cbrt.f32 (/.f32 cosTheta_O v)) (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (.f32 (cbrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (sqrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 cosTheta_O (sqrt.f32 v)))
(*.f32 (sqrt.f32 cosTheta_O) (/.f32 (sqrt.f32 cosTheta_O) v))
(.f32 (sqrt.f32 cosTheta_O) (.f32 (sqrt.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 cosTheta_O (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 cosTheta_O) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 cosTheta_O v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_O) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 cosTheta_O) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) #s(literal 1 binary32)) (/.f32 (sqrt.f32 cosTheta_O) v))
(*.f32 (/.f32 (sqrt.f32 cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 cosTheta_O) (cbrt.f32 v)))
(.f32 (.f32 cosTheta_O (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 cosTheta_O (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v cosTheta_O) #s(literal -1 binary32))
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(sqrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 cosTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 cosTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_O v)))
(exp.f32 (log.f32 (/.f32 cosTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 sinTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_O)
(*.f32 (cbrt.f32 (/.f32 sinTheta_O v)) (pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 sinTheta_O v)))
(*.f32 (pow.f32 (cbrt.f32 sinTheta_O) #s(literal 2 binary32)) (/.f32 (cbrt.f32 sinTheta_O) v))
(.f32 (pow.f32 (cbrt.f32 sinTheta_O) #s(literal 2 binary32)) (.f32 (cbrt.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O v)) (sqrt.f32 (/.f32 sinTheta_O v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 sinTheta_O (sqrt.f32 v)))
(*.f32 (sqrt.f32 sinTheta_O) (/.f32 (sqrt.f32 sinTheta_O) v))
(.f32 (sqrt.f32 sinTheta_O) (.f32 (sqrt.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 sinTheta_O (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 sinTheta_O) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 sinTheta_O v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 sinTheta_O) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_O) #s(literal 1 binary32)) (/.f32 (sqrt.f32 sinTheta_O) v))
(*.f32 (/.f32 (sqrt.f32 sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 sinTheta_O) (cbrt.f32 v)))
(.f32 (.f32 sinTheta_O (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 sinTheta_O (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32))
(neg.f32 (/.f32 sinTheta_O (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 sinTheta_O) v))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 sinTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 sinTheta_O v))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O v)))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O v)))
(exp.f32 (log.f32 (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(sqrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1/2 binary32) v))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (/.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v))) (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(/.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) (.f32 v #s(literal -1 binary32))) (.f32 v (neg.f32 v)))
(/.f32 (+.f32 v (.f32 v (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (neg.f32 v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))

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))
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(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (/.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (/.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32))) v)
(.f32 v (/.f32 (-.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32))) v)
(.f32 v (/.f32 (-.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) v))) (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))))
(.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))))
(.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32))) v)
(.f32 v (/.f32 (-.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
(.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32))) v)
(.f32 v (/.f32 (-.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) v v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) (.f32 v #s(literal -1 binary32))) (.f32 v (neg.f32 v)))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v) (neg.f32 v)) (neg.f32 (pow.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (neg.f32 (pow.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 v (.f32 v (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) v v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 (neg.f32 v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v) (neg.f32 v)) (neg.f32 (pow.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (neg.f32 (pow.f32 v #s(literal 2 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(neg.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32)) (neg.f32 v))))
(.f32 #s(literal 1 binary32) (.f32 v (/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))

eval164.0ms (1%)

Compiler: Compiled 28590 to 4298 computations (85% saved)

prune225.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	874	9	883
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	876	9	885

Accuracy

100.0%

Counts

885 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.5%	(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	4.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	4.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶	99.1%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
▶	99.5%	(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
	12.0%	(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
▶	12.0%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 328 to 252 computations (23.2% saved)

localize700.0ms (4.3%)

Algorithm

5×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
	cost-diff	0	(/.f32 cosTheta_O v)
	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	64	(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	-3136	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
✓	cost-diff	-3136	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	-3168	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
✓	cost-diff	-3008	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.9%	(-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.9%	(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
	accuracy	99.6%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
✓	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
✓	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	100.0%	(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	accuracy	99.7%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	78.0%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	accuracy	99.9%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
✓	accuracy	99.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	90.3%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Rules

2258×	`fma-neg`
1946×	`fma-neg`
1566×	`fma-define`
1310×	`times-frac`
1168×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	653
1	67	633
2	165	633
3	554	633
4	2894	633
5	6196	595
0	11	45
1	14	45
2	16	45
3	18	45
4	19	45
0	14	103
1	28	103
2	62	103
3	115	103
4	188	103
5	260	103
6	344	103
7	394	103
8	509	103
9	706	103
10	707	103
0	21	199
1	38	183
2	73	183
3	138	183
4	297	183
5	603	183
6	1329	183
7	2717	183
8	4071	183
9	4793	183
10	5002	183
11	5002	183
12	5002	183
0	22	267
1	43	267
2	89	267
3	194	263
4	413	263
5	756	263
6	1459	263
7	3329	263
8	5178	263
9	7269	257

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal 6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Call 2

Inputs
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Outputs
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Call 3

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

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

Call 4

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
v

Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
v

Call 5

Inputs
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(literal 3 binary32)
#s(literal 1/3 binary32)

Outputs
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v) #s(literal 3 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v))
(.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O)) v))) v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32))
(.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v) #s(literal 3 binary32)))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32))
(pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v) #s(literal 3 binary32)))
(.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O)) v))) v) #s(literal 3 binary32)))
(pow.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))
(cbrt.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v) #s(literal 3 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v))
(.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O)) v))) v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))) v)
(/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))) v)
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v)))
(exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O)) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(literal 3 binary32)
#s(literal 1/3 binary32)

Results

124.0ms

256×

valid

Compiler

Compiled 332 to 43 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-pow: 20.0ms (26.3% of total)

ival-div: 15.0ms (19.7% of total)

ival-mult: 15.0ms (19.7% of total)

ival-exp: 9.0ms (11.8% of total)

ival-add: 6.0ms (7.9% of total)

ival-sub: 5.0ms (6.6% of total)

ival-log: 4.0ms (5.3% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series155.0ms (0.9%)

Counts

22 → 538

Calls

Call 1

Inputs
#<alt (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)>
#<alt (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))>
#<alt (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))>
#<alt (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))>
#<alt (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 cosTheta_i cosTheta_O)>
#<alt (*.f32 sinTheta_i sinTheta_O)>
#<alt (/.f32 #s(literal 1 binary32) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt (exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))>

Outputs
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))>
#<alt (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))>
#<alt (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
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#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
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#<alt (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))))) v)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32)))) v)) (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))))) v)) (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) #s(literal 3 binary32)))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32)))))) v)) (.f32 (cbrt.f32 #s(literal -1/8 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))))))) v)) (*.f32 (cbrt.f32 #s(literal -1/8 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
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#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
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#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>

Calls

183 calls:

Time	Variable		Point	Expression
58.0ms	sinTheta_i	@	inf	(pow (pow (* 1/2 (/ (exp (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000)) v)) 3) 1/3)
4.0ms	cosTheta_i	@	0	(/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)
2.0ms	sinTheta_i	@	0	(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
2.0ms	cosTheta_i	@	inf	(pow (pow (* 1/2 (/ (exp (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000)) v)) 3) 1/3)
2.0ms	v	@	-inf	(pow (pow (* 1/2 (/ (exp (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000)) v)) 3) 1/3)

rewrite364.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`log1p-expm1-u`
392×	`expm1-log1p-u`
384×	`add-exp-log`
382×	`add-log-exp`
380×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	671
1	921	659

Stop Event

1×	node limit

Counts

22 → 478

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(*.f32 cosTheta_O cosTheta_i)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)
(/.f32 #s(literal 1 binary32) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))

Outputs
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) (fma.f32 (neg.f32 (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 1 binary32))
(.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 sinTheta_i) sinTheta_O))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O)))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
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(.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (cbrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (exp.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))

simplify588.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

848×	`distribute-rgt-in`
846×	`distribute-lft-in`
806×	`times-frac`
760×	`*-commutative`
522×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1611	54153
1	4288	52469

Stop Event

1×	node limit

Counts

1016 → 923

Calls

Call 1

Inputs
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))
(.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))
(.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
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(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)) #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
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(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))))
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(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
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(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O)))
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(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (pow.f32 (cbrt.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 1 binary32))
(.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 sinTheta_i) sinTheta_O))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 (sqrt.f32 (.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (.f32 sinTheta_i sinTheta_O)) (.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))) (fma.f32 (neg.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (cbrt.f32 (.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(+.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
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(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
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(+.f32 (fma.f32 (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
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(.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O)))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))))
(exp.f32 (.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 sinTheta_i sinTheta_O)))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (.f32 sinTheta_i sinTheta_O)))
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(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (cbrt.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(fma.f32 (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (cbrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (exp.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))

Outputs
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i))))
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i))))
(.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))))
(.f32 cosTheta_i (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i)) (/.f32 cosTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))))
(.f32 cosTheta_i (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i)) (/.f32 cosTheta_O v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))))
(.f32 cosTheta_i (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_i)) (/.f32 cosTheta_O v))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(.f32 cosTheta_O (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(.f32 cosTheta_O (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(.f32 cosTheta_O (neg.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
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#s(literal 1 binary32)
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(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))
(*.f32 sinTheta_O sinTheta_i)
(log.f32 (exp.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 sinTheta_O sinTheta_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i sinTheta_O))))
(*.f32 sinTheta_O sinTheta_i)
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (log.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))
(/.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (cbrt.f32 v))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 v) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)))
(pow.f32 (sqrt.f32 v) #s(literal -2 binary32))
(pow.f32 v #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) v)
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (neg.f32 (log.f32 v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) v)
(+.f32 #s(literal 0 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) v)))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 1 binary32))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
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(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (cbrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))))
(log.f32 (exp.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal -6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal -6931/10000 binary32)))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))

eval166.0ms (1%)

Compiler: Compiled 27070 to 5754 computations (78.7% saved)

prune253.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1062	8	1070
Fresh	2	2	4
Picked	5	0	5
Done	0	0	0
Total	1069	10	1079

Accuracy

100.0%

Counts

1079 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	6.2%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	6.2%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
▶	99.9%	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
	99.5%	(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
▶	99.1%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
▶	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	12.0%	(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
▶	6.4%	#s(literal 1 binary32)

Compiler

Compiled 390 to 278 computations (28.7% saved)

localize756.0ms (4.6%)

Algorithm

5×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	0	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	3200	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	-3136	(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
✓	cost-diff	-3136	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓	cost-diff	-3136	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	-3104	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	cost-diff	32	(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	32	(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
✓	cost-diff	64	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	96	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
✓	cost-diff	3168	(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.9%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	accuracy	99.6%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓	accuracy	100.0%	(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	100.0%	(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
	accuracy	78.0%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.9%	(exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓	accuracy	99.9%	(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.5%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))
✓	accuracy	98.8%	(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))

Rules

2114×	`fma-neg`
1174×	`fma-neg`
1168×	`associate-*r/`
1112×	`fma-define`
1088×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	807
1	63	807
2	115	763
3	268	763
4	911	763
5	3531	763
6	6259	763
0	1	1
1	8	1
0	15	107
1	29	103
2	53	103
3	95	103
4	140	103
5	208	103
6	269	103
7	319	103
8	372	103
9	566	103
10	598	103
0	15	93
1	29	93
2	40	93
3	56	93
4	76	93
5	116	93
6	172	93
7	318	93
8	632	93
9	1445	93
10	1867	93
11	2207	93
12	2317	93
13	2353	93
14	2353	93
0	15	135
1	28	135
2	50	131
3	88	131
4	152	131
5	255	131
6	439	131
7	760	131
8	1341	131
9	2207	131
10	3244	131
11	4889	131
12	5919	131
13	6069	131
14	6105	131
15	6129	131
16	6129	131
17	6849	131
18	7089	131
19	7089	131
20	7108	131
21	7108	131
22	7108	131

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Call 2

Inputs
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
v

Outputs
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
v

Call 3

Inputs
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
#s(literal -1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Outputs
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))
#s(literal 1 binary32)
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
#s(literal -1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

Call 4

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Call 5

Inputs
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)
(exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v)
(-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
cosTheta_i
cosTheta_O
(neg.f32 (*.f32 sinTheta_i sinTheta_O))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
v
#s(literal 6931/10000 binary32)
#s(literal 2 binary32)
#s(literal 1/3 binary32)
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))

Outputs
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (cbrt.f32 (pow.f32 (.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v)) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v)) #s(literal 2 binary32)))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v)) #s(literal 2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))
(*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)
(exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v)
(/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32))
(+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
cosTheta_i
cosTheta_O
(neg.f32 (*.f32 sinTheta_i sinTheta_O))
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
v
#s(literal 6931/10000 binary32)
#s(literal 2 binary32)
#s(literal 1/3 binary32)
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)))
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))) v)))

Results

110.0ms

256×

valid

Compiler

Compiled 312 to 39 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 15.0ms (22.7% of total)

ival-pow: 15.0ms (22.7% of total)

ival-mult: 10.0ms (15.1% of total)

ival-exp: 6.0ms (9.1% of total)

ival-sub: 5.0ms (7.6% of total)

ival-add: 4.0ms (6% of total)

ival-log: 4.0ms (6% of total)

ival-fma: 3.0ms (4.5% of total)

ival-cbrt: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series329.0ms (2%)

Counts

14 → 510

Calls

Call 1

Inputs
#<alt (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))>
#<alt (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))>
#<alt (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))>
#<alt (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))>
#<alt (.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))>
#<alt (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))>

Outputs
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (.f32 cosTheta_i (cbrt.f32 #s(literal 1/2 binary32)))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_O #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (cbrt.f32 #s(literal 1/2 binary32))))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (cbrt.f32 #s(literal 1/2 binary32))))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))) (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_O #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32)))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 4 binary32))) (pow.f32 v #s(literal 13 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_O #s(literal 2 binary32)))))))))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))))))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (.f32 cosTheta_i (cbrt.f32 #s(literal 1/2 binary32)))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_i #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_i (cbrt.f32 #s(literal 1/2 binary32))))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_i (cbrt.f32 #s(literal 1/2 binary32))))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))) (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_i #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32)))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 4 binary32))) (pow.f32 v #s(literal 13 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_i #s(literal 2 binary32)))))))))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))))))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))>
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#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
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#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
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#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32))))>
#<alt (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 8 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))))>
#<alt (+.f32 (.f32 #s(literal 1/12 binary32) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 v #s(literal 11 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))))) (/.f32 (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 8 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32))))))>
#<alt (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32)))>
#<alt (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (cbrt.f32 (.f32 v (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 (cbrt.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/12 binary32) (.f32 (cbrt.f32 (/.f32 v (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32)))) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32))))) (.f32 #s(literal 1/6 binary32) (.f32 (cbrt.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32)))))) v)) (.f32 #s(literal -1/6 binary32) (.f32 (cbrt.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 #s(literal 1/4 binary32)) #s(literal 2 binary32)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 #s(literal 1/4 binary32))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
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#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
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#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
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#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
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#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
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#<alt (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))>
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#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))>
#<alt (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (pow.f32 v #s(literal 4 binary32)))))))>
#<alt (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 v #s(literal 3 binary32)))) (.f32 sinTheta_O (+.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 v #s(literal 5 binary32)))) (.f32 #s(literal -1/3 binary32) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 v #s(literal 5 binary32))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 v #s(literal 4 binary32)))))))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 1/4 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) v))) v)) (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) v)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)))))) v)) (.f32 #s(literal 1/4 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))>

Calls

150 calls:

Time	Variable		Expression
65.0ms	sinTheta_O	@	(pow (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v)) 2)
27.0ms	sinTheta_O	@	(cbrt (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v)))
14.0ms	cosTheta_i	@	(cbrt (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v)))
9.0ms	cosTheta_i	@	(pow (pow (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v)) 2) 1/3)
7.0ms	sinTheta_O	@	(* (pow (pow (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v)) 2) 1/3) (cbrt (* 1/2 (/ (exp (+ (/ (- (+ (* cosTheta_i cosTheta_O) (neg (* sinTheta_i sinTheta_O))) 1) v) 6931/10000)) v))))

rewrite378.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

332×	`log1p-expm1-u`
332×	`expm1-log1p-u`
321×	`add-exp-log`
320×	`add-cube-cbrt`
318×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	732
1	769	606

Stop Event

1×	node limit

Counts

14 → 333

Calls

Call 1

Inputs
(cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32))
(+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32))

Outputs
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (cbrt.f32 #s(literal 1/2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (cbrt.f32 #s(literal 1/2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))) #s(literal 2 binary32)) (cbrt.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))) #s(literal 2 binary32)))
(.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/6 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/6 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (pow.f32 #s(literal 1/4 binary32) #s(literal 1/6 binary32)) (pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32))) #s(literal 1/6 binary32)) (pow.f32 (pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)) #s(literal 1/6 binary32)))
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(sqrt.f32 (pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))) #s(literal 1 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) v)
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
(pow.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(fabs.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(log1p.f32 (expm1.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v))))
(exp.f32 (.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))
(.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) (pow.f32 v #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(exp.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))) #s(literal 1 binary32)))

simplify812.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1630×	`times-frac`
1382×	`*-commutative`
574×	`+-commutative`
412×	`associate-r`
386×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1991	115964181318
1	5634	115964176621

Stop Event

1×	node limit

Counts

843 → 925

Calls

Call 1

Inputs
(.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))
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(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) (pow.f32 v #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(exp.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))) #s(literal 1 binary32)))

Outputs
(.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))
(.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v)) (cbrt.f32 #s(literal 1/2 binary32)))
(.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v)) (cbrt.f32 #s(literal 1/2 binary32)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (.f32 cosTheta_i (cbrt.f32 #s(literal 1/2 binary32)))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))
(+.f32 (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v)) (cbrt.f32 #s(literal 1/2 binary32))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (*.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_i)))))
(+.f32 (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (*.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_i)))))
(+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 17 binary32))) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32)) (pow.f32 cosTheta_O #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 cosTheta_O (cbrt.f32 #s(literal 1/2 binary32))))))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 (.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_i) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (pow.f32 cosTheta_O #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32))) (neg.f32 (.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal 17 binary32)) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32))) (pow.f32 cosTheta_O #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal 2 binary32))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_O)))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) v)) (cbrt.f32 #s(literal 1/2 binary32))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 (.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_i) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (pow.f32 cosTheta_O #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32))) (-.f32 #s(literal 0 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 17 binary32)) (pow.f32 v #s(literal 35 binary32))) #s(literal 1/9 binary32))) (pow.f32 cosTheta_O #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 (pow.f32 v #s(literal 2 binary32)) (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 2 binary32))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 7 binary32)) (pow.f32 v #s(literal 16 binary32))) #s(literal 1/9 binary32)) (.f32 (cbrt.f32 #s(literal 1/2 binary32)) cosTheta_O)))) (.f32 (cbrt.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v)) (cbrt.f32 #s(literal 1/2 binary32))))
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(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))
(*.f32 (neg.f32 sinTheta_O) sinTheta_i)
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))
(*.f32 (neg.f32 sinTheta_O) sinTheta_i)
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i)))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i)))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) sinTheta_i)))
(/.f32 (.f32 (cbrt.f32 #s(literal 1/4 binary32)) (.f32 (cbrt.f32 #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)
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(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (/.f32 (.f32 cosTheta_i (.f32 (.f32 (cbrt.f32 #s(literal 1/4 binary32)) (cbrt.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (.f32 (.f32 (cbrt.f32 #s(literal 1/4 binary32)) (cbrt.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (pow.f32 v #s(literal 3 binary32)))))) (.f32 cosTheta_O (/.f32 (.f32 (.f32 (cbrt.f32 #s(literal 1/4 binary32)) (cbrt.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (.f32 (cbrt.f32 #s(literal 1/4 binary32)) (cbrt.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
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(sqrt.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(sqrt.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32))))
(fabs.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v))
(fabs.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(sqrt.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32))))
(fabs.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)
(cbrt.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)))
(log1p.f32 (expm1.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v)
(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v))))
(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(exp.f32 (.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v)))) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) (pow.f32 v #s(literal 2 binary32)))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 4 binary32)))
(sqrt.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 4 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))))))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(cbrt.f32 (pow.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))) #s(literal 3 binary32)))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32))))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))))
(log1p.f32 (expm1.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32)))))
(.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))) v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))) v) #s(literal 2 binary32))
(exp.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(pow.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 2 binary32))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 v)))) #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(pow.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 2 binary32))

eval242.0ms (1.5%)

Compiler: Compiled 60320 to 6667 computations (88.9% saved)

prune459.0ms (2.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1221	11	1232
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1228	14	1242

Accuracy

100.0%

Counts

1242 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
	6.2%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	6.2%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
▶	6.2%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
▶	6.2%	(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
	99.9%	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
	99.9%	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))))
	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	6.2%	(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
▶	6.2%	(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
▶	100.0%	(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
	99.1%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 484 to 358 computations (26% saved)

localize713.0ms (4.4%)

Algorithm

5×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-3008	(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
	cost-diff	0	(/.f32 sinTheta_O v)
	cost-diff	0	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	cost-diff	128	(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
✓	cost-diff	-3104	(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
✓	cost-diff	0	(/.f32 sinTheta_i v)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) sinTheta_O)
✓	cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
✓	cost-diff	-3168	(-.f32 v (*.f32 sinTheta_O sinTheta_i))
✓	cost-diff	-3168	(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	-3136	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
✓	cost-diff	64	(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
✓	cost-diff	64	(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
✓	accuracy	100.0%	(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
	accuracy	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	accuracy	49.2%	(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(/.f32 sinTheta_i v)
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) sinTheta_O)
✓	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
✓	accuracy	99.4%	(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	99.9%	(-.f32 v (*.f32 sinTheta_O sinTheta_i))
✓	accuracy	99.7%	(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
✓	accuracy	100.0%	(*.f32 sinTheta_i sinTheta_O)
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	accuracy	78.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	100.0%	(-.f32 #s(literal 6931/10000 binary32) (log.f32 v))
✓	accuracy	100.0%	(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
✓	accuracy	99.9%	(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))

Rules

4530×	`associate-+r-`
3562×	`associate--l-`
2340×	`+-commutative`
2246×	`sub-neg`
1292×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	357
1	40	357
2	68	329
3	137	329
4	244	329
5	406	329
6	694	329
7	1467	329
8	4138	329
0	13	76
1	23	72
2	28	72
3	31	72
4	32	72
0	12	78
1	22	75
2	41	75
3	79	75
4	135	75
5	227	75
6	371	75
7	680	75
8	1940	75
9	2476	75
10	2503	75
11	2538	75
12	2543	75
0	14	101
1	23	101
2	37	96
3	76	92
4	136	92
5	260	92
6	464	92
7	795	92
8	1093	92
9	1355	92
10	1434	92
11	1439	92
0	15	140
1	36	136
2	53	118
3	76	118
4	141	118
5	289	118
6	620	118
7	1133	118
8	1327	118
9	1403	118
10	1403	118
11	1758	118
12	1964	118
13	2160	118
14	2160	118
15	2160	118
16	5181	118
17	5375	118
18	5399	118
19	5399	118
20	6130	118
21	6130	118
22	6794	118
23	6794	118
24	6794	118

Stop Event

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

Calls

Call 1

Inputs
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v

Outputs
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(+.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 0 binary32))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 0 binary32))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v

Call 2

Inputs
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
sinTheta_O
(-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(/.f32 #s(literal 1 binary32) sinTheta_O)
#s(literal 1 binary32)
(/.f32 sinTheta_i v)
sinTheta_i
v

Outputs
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))
sinTheta_O
(-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(/.f32 #s(literal 1 binary32) sinTheta_O)
#s(literal 1 binary32)
(/.f32 sinTheta_i v)
sinTheta_i
v

Call 3

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

Outputs
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))
(-.f32 v (*.f32 sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) v)
v
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i

Call 4

Inputs
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v

Outputs
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v

Call 5

Inputs
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
#s(literal 1/2 binary32)
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v)
(+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)))
#s(literal -1 binary32)
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
cosTheta_i
cosTheta_O
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(-.f32 #s(literal 6931/10000 binary32) (log.f32 v))
#s(literal 6931/10000 binary32)
(log.f32 v)

Outputs
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))))
#s(literal 1/2 binary32)
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v)
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v)
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
(+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)))
(fma.f32 sinTheta_O sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
#s(literal -1 binary32)
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_i cosTheta_O))
cosTheta_i
cosTheta_O
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(-.f32 #s(literal 6931/10000 binary32) (log.f32 v))
#s(literal 6931/10000 binary32)
(log.f32 v)

Results

155.0ms	177×	0	valid
161.0ms	79×	1	valid

Compiler

Compiled 198 to 33 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 49.0ms (49.1% of total)

ival-mult: 12.0ms (12% of total)

ival-add: 10.0ms (10% of total)

ival-sub: 9.0ms (9% of total)

backward-pass: 7.0ms (7% of total)

ival-log: 5.0ms (5% of total)

ival-fma: 4.0ms (4% of total)

ival-exp: 3.0ms (3% of total)

const: 1.0ms (1% of total)

series153.0ms (0.9%)

Counts

17 → 575

Calls

Call 1

Inputs
#<alt (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))>
#<alt (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))>
#<alt (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))>
#<alt (*.f32 sinTheta_i sinTheta_O)>
#<alt (/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (-.f32 v (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))>
#<alt (/.f32 #s(literal 1 binary32) sinTheta_O)>
#<alt (/.f32 sinTheta_i v)>
#<alt (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))>
#<alt (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))>
#<alt (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))>

Outputs
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))>
#<alt (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))>
#<alt (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (log.f32 v) sinTheta_O))))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (log.f32 v) sinTheta_O))))>
#<alt (.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (log.f32 v) sinTheta_O))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 (log.f32 v) sinTheta_i))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 (log.f32 v) sinTheta_i))))>
#<alt (.f32 sinTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 (log.f32 v) sinTheta_i))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))))>
#<alt (/.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))>
#<alt (.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) cosTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))>
#<alt (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) cosTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) sinTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) sinTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) sinTheta_i) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) sinTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) sinTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) sinTheta_O) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))))>
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#<alt (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
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#<alt (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt #s(literal 1 binary32)>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt #s(literal 1 binary32)>
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#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
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#<alt #s(literal 1 binary32)>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
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#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt v>
#<alt (.f32 v (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (.f32 v (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (.f32 v (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt v>
#<alt (.f32 #s(literal -1 binary32) (.f32 v (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 v (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 v (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))))>
#<alt v>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_O)) (.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_O)) (.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_O)) (.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt v>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 v sinTheta_i) sinTheta_O))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 v sinTheta_i) sinTheta_O))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 v sinTheta_i) sinTheta_O))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_i)) (.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_i)) (.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal -1 binary32) (/.f32 v sinTheta_i)) (.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (+.f32 v (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 #s(literal 1 binary32) sinTheta_O)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) sinTheta_O)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) sinTheta_O)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) sinTheta_O)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v))>
#<alt (/.f32 #s(literal 1 binary32) sinTheta_O)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v))>
#<alt (/.f32 (-.f32 (/.f32 v sinTheta_O) sinTheta_i) v)>
#<alt (/.f32 (-.f32 (/.f32 v sinTheta_O) sinTheta_i) v)>
#<alt (/.f32 (-.f32 (/.f32 v sinTheta_O) sinTheta_i) v)>
#<alt (/.f32 #s(literal 1 binary32) sinTheta_O)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (/.f32 #s(literal 1 binary32) sinTheta_O)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
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#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
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#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i)) v)>
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#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
#<alt #s(literal -1 binary32)>
#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
#<alt (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))>
#<alt (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))))) v)))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) v)))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) v)) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))))>
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#<alt (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))) v)))))>
#<alt (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))))>
#<alt (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))) v)))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (pow.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 2 binary32))) v))) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))))))>
#<alt (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (pow.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 3 binary32))) v)) (.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (pow.f32 (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 2 binary32))))) v)) (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))))) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))))))>

Calls

156 calls:

Time	Variable		Point	Expression
36.0ms	v	@	0	(- 6931/10000 (log v))
19.0ms	cosTheta_i	@	0	(+ (/ (+ -1 (+ (* cosTheta_i cosTheta_O) (* sinTheta_O sinTheta_i))) v) (- 6931/10000 (log v)))
12.0ms	v	@	-inf	(- 6931/10000 (log v))
5.0ms	v	@	inf	(- 6931/10000 (log v))
4.0ms	sinTheta_i	@	inf	(- (/ 1 sinTheta_O) (/ sinTheta_i v))

rewrite425.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

313×	`log1p-expm1-u`
313×	`expm1-log1p-u`
302×	`add-exp-log`
302×	`add-log-exp`
301×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	516
1	720	497

Stop Event

1×	node limit

Counts

17 → 479

Calls

Call 1

Inputs
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(-.f32 #s(literal 6931/10000 binary32) (log.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i sinTheta_O)
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 v (*.f32 sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(/.f32 #s(literal 1 binary32) sinTheta_O)
(/.f32 sinTheta_i v)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))

Outputs
(-.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32)) (log.f32 v))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32)) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (sqrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32))) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(/.f32 (+.f32 (.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) (.f32 v (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))))) (.f32 v (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (.f32 v (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (.f32 v (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(/.f32 (+.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) (.f32 (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))))) (.f32 (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (log.f32 v))))))
(/.f32 (+.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (.f32 (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (.f32 (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(/.f32 (+.f32 (.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v))))) (.f32 (neg.f32 v) (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))))) (.f32 (neg.f32 v) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v))))))
(/.f32 (+.f32 (.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (.f32 (neg.f32 v) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (.f32 (neg.f32 v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))) v) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) v))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (neg.f32 v)) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (neg.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))))) (.f32 (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (neg.f32 v)))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))) v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) v))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (/.f32 v (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (+.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (neg.f32 v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (neg.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i)))))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (neg.f32 v)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32)) (log.f32 v)))))
(pow.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 2 binary32)))
(log.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v))
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(fma.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (.f32 (log1p.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32)))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))))
(exp.f32 (.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32)))

simplify876.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1652×	`times-frac`
1632×	`fma-define`
574×	`*-commutative`
436×	`sub-neg`
396×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1369	52335
1	3827	49699

Stop Event

1×	node limit

Counts

1054 → 835

Calls

Call 1

Inputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.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))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (.f32 (log1p.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32)))))
(pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(exp.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal -1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal -1 binary32))
(fma.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal -1 binary32))
(-.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))))
(exp.f32 (.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32)))

Outputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
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(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (log.f32 v) cosTheta_i))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_i)) (neg.f32 cosTheta_i))
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_i)) (neg.f32 cosTheta_i))
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
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(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (log.f32 v) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (log.f32 v) cosTheta_O)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
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(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (+.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (log.f32 v) sinTheta_O))))
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(.f32 sinTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 (log.f32 v) sinTheta_O))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))))
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(*.f32 sinTheta_O (neg.f32 (-.f32 (neg.f32 (/.f32 sinTheta_i v)) (/.f32 (+.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 v)) (/.f32 #s(literal -1 binary32) v)) sinTheta_O))))
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(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(pow.f32 (cbrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(pow.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(pow.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(sqrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v)))
(log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(cbrt.f32 (pow.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)) #s(literal 3 binary32)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))) v))
(exp.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))))
(exp.f32 (.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v))))

eval108.0ms (0.7%)

Compiler: Compiled 21842 to 3827 computations (82.5% saved)

prune390.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	931	7	938
Fresh	3	4	7
Picked	5	0	5
Done	0	2	2
Total	939	13	952

Accuracy

100.0%

Counts

952 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
	6.2%	(/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i)) v)
	99.9%	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
	99.9%	(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))))
	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	20.5%	(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
	5.0%	(.f32 sinTheta_O (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O v)))
	6.4%	(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
	20.5%	(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
	100.0%	(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
	99.1%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 750 to 339 computations (54.8% saved)

regimes122.0ms (0.7%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i)) v)
(.f32 sinTheta_O (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))))
(.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))))

Outputs
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))

Calls

9 calls:

46.0ms	v
12.0ms	cosTheta_O
11.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
11.0ms	sinTheta_i
11.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
100.0%	1	`cosTheta_i`
100.0%	1	`cosTheta_O`
100.0%	1	`sinTheta_i`
100.0%	1	`sinTheta_O`
100.0%	1	`v`
100.0%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
100.0%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
100.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
100.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes44.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i)) v)
(.f32 sinTheta_O (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes41.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i)) v)
(.f32 sinTheta_O (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))

Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))

Calls

6 calls:

10.0ms	sinTheta_i
7.0ms	cosTheta_i
6.0ms	v
6.0ms	cosTheta_O
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`cosTheta_O`
99.1%	1	`sinTheta_i`
99.1%	1	`sinTheta_O`
99.1%	1	`v`
99.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes27.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 v sinTheta_O) sinTheta_i)) v)
(.f32 sinTheta_O (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
37.3%	1	`cosTheta_i`
37.3%	1	`cosTheta_O`
37.3%	1	`sinTheta_i`
37.3%	1	`sinTheta_O`
37.3%	1	`v`
37.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.5%	1	`cosTheta_i`
20.5%	1	`sinTheta_i`
20.5%	1	`cosTheta_O`
20.5%	1	`sinTheta_O`
20.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))

Outputs
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))

Calls

5 calls:

2.0ms	sinTheta_i
1.0ms	sinTheta_O
1.0ms	cosTheta_O
1.0ms	v
1.0ms	cosTheta_i

Results

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

5 calls:

0.0ms	v
0.0ms	cosTheta_O
0.0ms	sinTheta_O
0.0ms	sinTheta_i
0.0ms	cosTheta_i

Results

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
24×	`+-commutative`
18×	`sub-neg`
16×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	178
1	64	178
2	86	178
3	102	178
4	109	178
5	110	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
#s(literal 1 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_O))
#s(literal 1 binary32)

soundness2.0s (12.1%)

Rules

1652×	`times-frac`
1632×	`fma-define`
1630×	`times-frac`
1590×	`exp-diff`
1500×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1239	49346
1	3311	45938
0	34	433
1	500	413
2	7305	413
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	1991	115964181318
1	5634	115964176621
0	48	732
1	769	606
0	1369	52335
1	3827	49699
0	51	671
1	921	659

Stop Event

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

Compiler

Compiled 1348 to 408 computations (69.7% saved)

preprocess60.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 724 to 548 computations (24.3% saved)

analyze553.0ms (3.4%)

sample3.3s (20.2%)

preprocess110.0ms (0.7%)

explain280.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize380.0ms (2.3%)

series232.0ms (1.4%)

rewrite446.0ms (2.7%)

simplify526.0ms (3.2%)

eval164.0ms (1%)

prune225.0ms (1.4%)

localize700.0ms (4.3%)

series155.0ms (0.9%)

rewrite364.0ms (2.2%)

simplify588.0ms (3.6%)

eval166.0ms (1%)

prune253.0ms (1.5%)

localize756.0ms (4.6%)

series329.0ms (2%)

rewrite378.0ms (2.3%)

simplify812.0ms (5%)

eval242.0ms (1.5%)

prune459.0ms (2.8%)

localize713.0ms (4.4%)

series153.0ms (0.9%)

rewrite425.0ms (2.6%)

simplify876.0ms (5.3%)

eval108.0ms (0.7%)

prune390.0ms (2.4%)

regimes122.0ms (0.7%)

regimes44.0ms (0.3%)

regimes41.0ms (0.3%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0%)

regimes2.0ms (0%)

simplify5.0ms (0%)

soundness2.0s (12.1%)

preprocess60.0ms (0.4%)

end0.0ms (0%)

Profiling