Metrics for HairBSDF, Mp, lower

analyze625.0ms (3.9%)

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 70 to 44 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

...c/correct-round.rkt:138:19: 91.0ms (24.7% of total)

ival-<=: 76.0ms (20.6% of total)

ival-mult: 55.0ms (14.9% of total)

ival-div: 41.0ms (11.1% of total)

ival-log: 26.0ms (7.1% of total)

ival-add: 20.0ms (5.4% of total)

ival-sub: 19.0ms (5.2% of total)

ival-and: 19.0ms (5.2% of total)

ival-exp: 16.0ms (4.3% of total)

const: 3.0ms (0.8% of total)

ival-assert: 2.0ms (0.5% of total)

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

sample3.2s (19.9%)

Results

2.5s	8256×	0	valid
58.0ms	124×	0	invalid

Precisions

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

...c/correct-round.rkt:138:19: 568.0ms (26.5% of total)

ival-<=: 517.0ms (24.2% of total)

ival-div: 300.0ms (14% of total)

ival-mult: 251.0ms (11.7% of total)

ival-log: 119.0ms (5.6% of total)

ival-exp: 108.0ms (5% of total)

ival-add: 91.0ms (4.3% of total)

ival-and: 80.0ms (3.7% of total)

ival-sub: 79.0ms (3.7% of total)

const: 16.0ms (0.7% of total)

ival-assert: 8.0ms (0.4% of total)

backward-pass: 2.0ms (0.1% of total)

Bogosity

preprocess111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1590×	`exp-diff`
1500×	`times-frac`
914×	`fmm-def`
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 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 cosTheta_O (/.f32 cosTheta_i 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 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 cosTheta_O (/.f32 cosTheta_i 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 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 cosTheta_O (/.f32 cosTheta_i 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 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 cosTheta_O (/.f32 cosTheta_i 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)

explain272.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
91	5	(1.2736319660686247e-33 6.551101044830528e-15 -2.981468197327253e-11 -2.3755331232113656e-15 0.006084193009883165)	27	(-1.1850354799891548e-25 1.0417671866760747e-18 -9.895558331085574e-12 9.227170781707584e-19 1.0272004120072788e-33)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
83	3	(2.346149705681018e-33 5.238256737053156e-27 -1.3819677330187976e-29 2.0146833617561417e-20 9.534084529150277e-5)	27	(-2.971212442748339e-10 -4.1415401996849753e-22 3.6059096070796074e-29 8.819505570158788e-17 3.7876787817303637e-10)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
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	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
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	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
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	10	(-3.728213634692268e-31 1.1355201960546371e-33 -5.361404549557165e-27 -1.0414048837045238e-34 0.005322764161974192)	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`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f32`	`(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)))))`	sensitivity	10	2
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	86
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	9	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	97

Confusion

	Predicted +	Predicted -
+	0	0
-	27	229

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	27	2	227

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	229
1	26
2	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Results

111.0ms

512×

valid

Compiler

Compiled 340 to 88 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 20.0ms (31% of total)

ival-mult: 12.0ms (18.6% of total)

...c/correct-round.rkt:138:19: 9.0ms (13.9% of total)

ival-log: 7.0ms (10.8% of total)

ival-sub: 6.0ms (9.3% of total)

ival-add: 6.0ms (9.3% of total)

ival-exp: 4.0ms (6.2% of total)

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

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

const: 1.0ms (1.5% 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
▶	99.7%	(.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))))
▶	99.8%	(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

▶

99.7%

(*.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))))

▶

99.8%

(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)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f32 cosTheta_O v)
✓	cost-diff	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	(/.f32 sinTheta_O v)
✓	cost-diff	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	cost-diff	(/.f32 cosTheta_O v)
✓	cost-diff	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Rules

1460×	`fma-define`
1370×	`fmm-def`
1260×	`exp-sum`
702×	`sub-neg`
700×	`exp-diff`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	823
1	75	823
2	176	795
3	516	795
4	1710	795
5	4814	789
6	7613	789

Stop Event

1×	node limit

Calls

Call 1

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

localize112.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.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	99.8%	(+.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	99.7%	(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	99.8%	(+.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	99.8%	(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)))))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))

Results

75.0ms

256×

valid

Compiler

Compiled 217 to 27 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 10.0ms (25.9% of total)

ival-add: 6.0ms (15.5% of total)

ival-mult: 5.0ms (12.9% of total)

ival-log: 4.0ms (10.4% of total)

...c/correct-round.rkt:138:19: 4.0ms (10.4% of total)

ival-exp: 3.0ms (7.8% of total)

ival-fma: 3.0ms (7.8% of total)

ival-sub: 2.0ms (5.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

series134.0ms (0.8%)

Counts

11 → 432

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
20.0ms	sinTheta_i	@	-inf	(* sinTheta_i (/ sinTheta_O v))
7.0ms	cosTheta_i	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms	sinTheta_i	@	inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
6.0ms	v	@	inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
4.0ms	v	@	0	(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000))

rewrite456.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log1p-expm1-u`
378×	`associate-r`
236×	`associate-l`
229×	`expm1-log1p-u`
218×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	539
1	518	501
2	7461	501

Stop Event

1×	node limit

Counts

11 → 398

Calls

Call 1

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

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

simplify513.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1568×	`fma-define`
846×	`distribute-lft-in`
842×	`times-frac`
720×	`*-commutative`
478×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1407	65581
1	3950	62772

Stop Event

1×	node limit

Counts

830 → 837

Calls

Call 1

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

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

eval414.0ms (2.6%)

Compiler: Compiled 34140 to 4761 computations (86.1% saved)

prune200.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	980	14	994
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	982	14	996

Accuracy

99.9%

Counts

996 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.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)) #s(literal 1/3 binary32))
▶	99.8%	(pow.f32 (sqrt.f32 (.f32 #s(literal 1/2 binary32) (/.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 2 binary32))
	99.7%	(pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.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))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 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)))))))
	99.7%	(.f32 (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)))) (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))))
	98.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.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)))) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 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)))))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.7%	(.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))))
	10.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) #s(literal 6931/10000 binary32))))
	4.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	99.8%	(exp.f32 (-.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 #s(literal 1 binary32) v)))
	95.0%	(exp.f32 (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))))

Compiler

Compiled 700 to 516 computations (26.3% saved)

simplify324.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) 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	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)

Rules

1552×	`fmm-def`
1064×	`fma-define`
788×	`associate-/r*`
650×	`exp-sum`
638×	`distribute-lft-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	1663
1	107	1647
2	224	1647
3	569	1647
4	1399	1647
5	3256	1577
6	5509	1577

Stop Event

1×	node limit

Calls

Call 1

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

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

localize216.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.7%	(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))))
✓	accuracy	98.8%	(sqrt.f32 (.f32 #s(literal 1/2 binary32) (/.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)))
✓	accuracy	89.6%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.7%	(pow.f32 (exp.f32 #s(literal 1 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))))
✓	accuracy	89.6%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.8%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.6%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	75.4%	(/.f32 (*.f32 cosTheta_O cosTheta_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	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	99.8%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.8%	(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	89.6%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Results

141.0ms

256×

valid

Compiler

Compiled 441 to 40 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 16.0ms (24.5% of total)

ival-div: 13.0ms (19.9% of total)

ival-pow: 12.0ms (18.4% of total)

ival-exp: 10.0ms (15.3% of total)

ival-sub: 6.0ms (9.2% of total)

...c/correct-round.rkt:138:19: 4.0ms (6.1% of total)

ival-sqrt: 2.0ms (3.1% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

series159.0ms (1%)

Counts

20 → 529

Calls

Call 1

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

Outputs
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (/.f32 #s(literal 1 binary32) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt #s(literal -6931/10000 binary32)>
#<alt #s(literal -6931/10000 binary32)>
#<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)>
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#<alt (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.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 (.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 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))>
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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)>
#<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))>
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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))))>
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#<alt (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))))>
#<alt (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))))>
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#<alt (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))))>
#<alt (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))))>
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#<alt (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))))>
#<alt (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))))>
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#<alt (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))))>
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#<alt (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))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
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#<alt (exp.f32 #s(literal 6931/10000 binary32))>
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#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.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 (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)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.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 (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 (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)))>

Calls

168 calls:

Time	Variable		Point	Expression
14.0ms	cosTheta_O	@	inf	(* (/ 1/2 v) (* (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v))) (exp 6931/10000)))
4.0ms	cosTheta_i	@	0	(sqrt (* 1/2 (/ (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (/ 1 v) 6931/10000))) v)))
3.0ms	sinTheta_O	@	-inf	(* (/ 1/2 v) (* (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v))) (exp 6931/10000)))
2.0ms	sinTheta_i	@	0	(sqrt (* 1/2 (/ (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (/ 1 v) 6931/10000))) v)))
2.0ms	sinTheta_O	@	0	(exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)))

rewrite186.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

316×	`log1p-expm1-u`
316×	`expm1-log1p-u`
312×	`add-exp-log`
311×	`add-log-exp`
309×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	626
1	774	604

Stop Event

1×	node limit

Counts

20 → 480

Calls

Call 1

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

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

simplify698.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1232×	`times-frac`
1060×	`*-commutative`
468×	`+-commutative`
354×	`fmm-def`
332×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1767	61914
1	4958	58900

Stop Event

1×	node limit

Counts

1009 → 896

Calls

Call 1

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

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

eval206.0ms (1.3%)

Compiler: Compiled 44724 to 7171 computations (84% saved)

prune274.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1485	12	1497
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	1494	17	1511

Accuracy

100.0%

Counts

1511 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(pow.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
	99.0%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
▶	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 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)))))))
	99.7%	(.f32 (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)))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	99.7%	(.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
	98.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
▶	4.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	99.7%	(.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
	99.7%	(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
✓	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
	99.8%	(exp.f32 (-.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 #s(literal 1 binary32) v)))
	95.0%	(exp.f32 (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))))

Compiler

Compiled 781 to 596 computations (23.7% saved)

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (/.f32 #s(literal 1/2 binary32) v))
	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	3360	(.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
✓	cost-diff	6400	(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	3296	(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
✓	cost-diff	3296	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
	cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	-3040	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	3392	(pow.f32 (pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))

Rules

1990×	`fmm-def`
836×	`associate-*r/`
784×	`cancel-sign-sub-inv`
698×	`associate-*l/`
622×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	1864
1	118	1742
2	247	1720
3	634	1696
4	1827	1696
5	4766	1696
6	6178	1696

Stop Event

1×	node limit

Calls

Call 1

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

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

localize382.0ms (2.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
	accuracy	99.7%	(pow.f32 (exp.f32 #s(literal 1 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))))
✓	accuracy	98.9%	(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
	accuracy	98.7%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
✓	accuracy	98.8%	(sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 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)))))))
	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
	accuracy	99.7%	(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))))
	accuracy	98.7%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	99.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
✓	accuracy	97.4%	(pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) v)) #s(literal 1/4 binary32))

Results

143.0ms	195×	0	invalid
38.0ms	61×	0	valid

Compiler

Compiled 514 to 47 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-exp: 45.0ms (36.1% of total)

ival-pow: 32.0ms (25.7% of total)

ival-div: 14.0ms (11.2% of total)

ival-mult: 11.0ms (8.8% of total)

ival-sub: 6.0ms (4.8% of total)

...c/correct-round.rkt:138:19: 5.0ms (4% of total)

ival-expm1: 3.0ms (2.4% of total)

ival-log1p: 3.0ms (2.4% of total)

ival-add: 2.0ms (1.6% of total)

ival-sqrt: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

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

series597.0ms (3.7%)

Counts

15 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
130.0ms	sinTheta_i	@	-inf	(pow (* 1/2 (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))) v)) 1/4)
59.0ms	cosTheta_i	@	inf	(pow (* 1/2 (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))) v)) 1/4)
39.0ms	sinTheta_i	@	inf	(pow (* 1/2 (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))) v)) 1/4)
30.0ms	sinTheta_i	@	-inf	(exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)))
30.0ms	cosTheta_O	@	inf	(pow (* 1/2 (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))) v)) 1/4)

rewrite155.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`log1p-expm1-u`
399×	`expm1-log1p-u`
381×	`add-exp-log`
381×	`pow1`
379×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	722
1	968	680

Stop Event

1×	node limit

Counts

15 → 295

Calls

Call 1

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

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

simplify995.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`*-commutative`
1262×	`times-frac`
632×	`+-commutative`
452×	`fma-define`
432×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1868	79657
1	5629	75757

Stop Event

1×	node limit

Counts

931 → 800

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 cosTheta_i (+.f32 (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32)))))) (/.f32 (.f32 cosTheta_O (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 cosTheta_O (+.f32 (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32)))))) (/.f32 (.f32 cosTheta_i (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (.f32 sinTheta_i (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 3 binary32)))))) (/.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (.f32 sinTheta_i (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 3 binary32)))))))) (/.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v))
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.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)))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
(/.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32))) v)
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(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1/2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1 binary32))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3/2 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(.f32 #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))

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

eval248.0ms (1.5%)

Compiler: Compiled 50788 to 7811 computations (84.6% saved)

prune400.0ms (2.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1402	8	1410
Fresh	2	9	11
Picked	4	1	5
Done	0	1	1
Total	1408	19	1427

Accuracy

100.0%

Counts

1427 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(pow.f32 (pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
	99.7%	(pow.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	99.7%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (log.f32 #s(literal 1/2 binary32))))) v)
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal 2 binary32))))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))
	99.7%	(.f32 (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)))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	99.7%	(.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	4.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (E.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)))))
▶	99.7%	(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
✓	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
	99.8%	(exp.f32 (-.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 #s(literal 1 binary32) v)))
▶	95.0%	(exp.f32 (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))))

Compiler

Compiled 860 to 652 computations (24.2% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	128	(pow.f32 (exp.f32 #s(literal 1 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))))
	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	6400	(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	6528	(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(/.f32 cosTheta_O sinTheta_i)
✓	cost-diff	0	(*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))
✓	cost-diff	0	(/.f32 #s(literal 6931/10000 binary32) sinTheta_i)
	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
	cost-diff	0	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	cost-diff	0	(E.f32)
	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
✓	cost-diff	64	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	192	(pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32))
✓	cost-diff	6624	(pow.f32 (pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))

Rules

1470×	`exp-sum`
1048×	`times-frac`
1014×	`exp-diff`
616×	`associate-+l-`
578×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	68	2206
1	152	2116
2	352	2084
3	948	2046
4	2879	1913
5	6241	1909

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(literal 6931/10000 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 1/4 binary32)
#s(literal 2 binary32)
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
#s(literal 1 binary32)
(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))))
#s(literal 1 binary32)
(/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))))
v
(.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))
#s(literal 1/2 binary32)
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(E.f32)
(+.f32 #s(literal 6931/10000 binary32) (/.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 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)
(-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(-.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
(exp.f32 (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
sinTheta_i
(+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))
(/.f32 #s(literal 6931/10000 binary32) sinTheta_i)
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(+.f32 (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
(*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))
(/.f32 cosTheta_O sinTheta_i)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
(/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))
(/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))
#s(literal 1 binary32)
(*.f32 v sinTheta_i)
(/.f32 sinTheta_O v)
sinTheta_O
(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(pow.f32 (exp.f32 #s(literal 1 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))))
(exp.f32 #s(literal 1 binary32))
#s(literal 1 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 (.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
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 6931/10000 binary32)

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

localize288.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
	accuracy	99.7%	(pow.f32 (exp.f32 #s(literal 1 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))))
✓	accuracy	98.9%	(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
	accuracy	98.7%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.7%	(/.f32 #s(literal 6931/10000 binary32) sinTheta_i)
✓	accuracy	99.7%	(*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))
✓	accuracy	99.6%	(-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
✓	accuracy	97.7%	(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))))
	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
✓	accuracy	28.6%	(E.f32)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.7%	(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
	accuracy	99.8%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
	accuracy	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
	accuracy	98.6%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	97.4%	(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32))

Results

147.0ms	195×	0	invalid
45.0ms	61×	0	valid

Compiler

Compiled 590 to 61 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-pow: 41.0ms (32.7% of total)

ival-div: 31.0ms (24.7% of total)

ival-mult: 17.0ms (13.6% of total)

ival-exp: 11.0ms (8.8% of total)

ival-sub: 8.0ms (6.4% of total)

ival-add: 6.0ms (4.8% of total)

...c/correct-round.rkt:138:19: 5.0ms (4% of total)

ival-log: 3.0ms (2.4% of total)

ival-e: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

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

series522.0ms (3.3%)

Counts

18 → 476

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
140.0ms	v	@	inf	(/ 1 (/ v (* 1/2 (pow (E) (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))))))
122.0ms	sinTheta_i	@	-inf	(* sinTheta_i (+ (/ 6931/10000 sinTheta_i) (- (+ (* (/ cosTheta_O sinTheta_i) (/ cosTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* v sinTheta_i)) (/ sinTheta_O v)))))
23.0ms	cosTheta_O	@	inf	(pow (/ (* 1/2 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v) 1/4)
23.0ms	cosTheta_i	@	-inf	(pow (/ (* 1/2 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v) 1/4)
22.0ms	v	@	0	(pow (/ (* 1/2 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v) 1/4)

rewrite179.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log1p-expm1-u`
579×	`expm1-log1p-u`
553×	`add-exp-log`
540×	`pow1`
444×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	779
1	1332	741

Stop Event

1×	node limit

Counts

18 → 325

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
(E.f32)
(/.f32 #s(literal 6931/10000 binary32) sinTheta_i)
(*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))
(/.f32 cosTheta_O sinTheta_i)
(/.f32 cosTheta_i v)
(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v) #s(literal 1/4 binary32))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
(-.f32 (+.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))

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

simplify800.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1110×	`*-commutative`
1094×	`distribute-lft-in`
994×	`times-frac`
548×	`+-commutative`
388×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1724	64511
1	5047	59093

Stop Event

1×	node limit

Counts

801 → 774

Calls

Call 1

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

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

eval412.0ms (2.6%)

Compiler: Compiled 51408 to 9264 computations (82% saved)

prune497.0ms (3.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1476	10	1486
Fresh	1	11	12
Picked	5	0	5
Done	1	1	2
Total	1483	22	1505

Accuracy

100.0%

Counts

1505 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
	99.7%	(pow.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	99.7%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (log.f32 #s(literal 1/2 binary32))))) v)
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal 2 binary32))))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal 1 binary32)) v))))))
	85.1%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v)))))))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))
	99.7%	(.f32 (pow.f32 (pow.f32 (cbrt.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)) #s(literal 1/4 binary32))) #s(literal 4 binary32)))
	99.7%	(.f32 (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)))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	99.7%	(.f32 (pow.f32 (E.f32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (exp.f32 #s(literal 1 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)))))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.7%	(.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (E.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)))))
	99.7%	(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (E.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)))))
✓	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	13.7%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(exp.f32 (-.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 #s(literal 1 binary32) v)))
	11.8%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
	96.6%	(exp.f32 (.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)))))))
	13.7%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	11.8%	(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 1428 to 614 computations (57% saved)

regimes243.0ms (1.5%)

Counts

47 → 1

Calls

Call 1

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

Outputs

(pow.f32 (pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))

Calls

9 calls:

135.0ms	cosTheta_i
17.0ms	cosTheta_O
13.0ms	sinTheta_O
13.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.8%	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))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes170.0ms (1.1%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

9 calls:

54.0ms	(*.f32 sinTheta_i sinTheta_O)
46.0ms	(+.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	v
10.0ms	cosTheta_O
10.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.8%	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))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes114.0ms (0.7%)

Counts

16 → 1

Calls

Call 1

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

7 calls:

82.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	sinTheta_O
6.0ms	cosTheta_O
5.0ms	cosTheta_i
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes15.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.7%	1	`cosTheta_i`
17.4%	2	`cosTheta_O`
13.7%	1	`sinTheta_i`
13.7%	1	`sinTheta_O`
13.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes6.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

cosTheta_O

Results

Accuracy	Segments	Branch
17.4%	2	`cosTheta_O`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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)))

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

Calls

2 calls:

2.0ms	v
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
13.7%	1	`v`
13.7%	1	`cosTheta_O`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.7%	1	`cosTheta_i`
13.7%	1	`cosTheta_O`
13.7%	1	`sinTheta_i`
13.7%	1	`sinTheta_O`
13.7%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1376444145889696e-24	1.0039455665235122e-23

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1376444145889696e-24	1.0039455665235122e-23

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
22×	`sub-neg`
22×	`+-commutative`
18×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	333
1	81	333
2	102	333
3	129	333
4	140	333
5	145	333
6	146	333

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #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))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

Outputs
(pow.f32 (pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) v) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 10141205/5070602400912917605986812821504 binary32)) (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

soundness1.5s (9.5%)

Rules

1590×	`exp-diff`
1568×	`fma-define`
1500×	`times-frac`
1110×	`*-commutative`
1094×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1407	65581
1	3950	62772
0	35	539
1	518	501
2	7461	501
0	1724	64511
1	5047	59093
0	43	626
1	774	604
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854

Stop Event

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

Compiler

Compiled 1219 to 357 computations (70.7% saved)

preprocess62.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 664 to 488 computations (26.5% saved)

analyze625.0ms (3.9%)

sample3.2s (19.9%)

preprocess111.0ms (0.7%)

explain272.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify93.0ms (0.6%)

localize112.0ms (0.7%)

series134.0ms (0.8%)

rewrite456.0ms (2.8%)

simplify513.0ms (3.2%)

eval414.0ms (2.6%)

prune200.0ms (1.2%)

simplify324.0ms (2%)

localize216.0ms (1.3%)

series159.0ms (1%)

rewrite186.0ms (1.2%)

simplify698.0ms (4.4%)

eval206.0ms (1.3%)

prune274.0ms (1.7%)

simplify116.0ms (0.7%)

localize382.0ms (2.4%)

series597.0ms (3.7%)

rewrite155.0ms (1%)

simplify995.0ms (6.2%)

eval248.0ms (1.5%)

prune400.0ms (2.5%)

simplify102.0ms (0.6%)

localize288.0ms (1.8%)

series522.0ms (3.3%)

rewrite179.0ms (1.1%)

simplify800.0ms (5%)

eval412.0ms (2.6%)

prune497.0ms (3.1%)

regimes243.0ms (1.5%)

regimes170.0ms (1.1%)

regimes114.0ms (0.7%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.5s (9.5%)

preprocess62.0ms (0.4%)

end0.0ms (0%)

Profiling