Metrics for HairBSDF, Mp, lower

analyze748.0ms (4.1%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 43 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

ival-<=: 211.0ms (42.9% of total)

...c/correct-round.rkt:121:19: 97.0ms (19.7% of total)

ival-mult: 46.0ms (9.3% of total)

ival-div: 39.0ms (7.9% of total)

ival-and: 21.0ms (4.3% of total)

ival-add: 20.0ms (4.1% of total)

ival-sub: 19.0ms (3.9% of total)

ival-log: 19.0ms (3.9% of total)

ival-exp: 16.0ms (3.3% of total)

const: 3.0ms (0.6% of total)

backward-pass: 1.0ms (0.2% of total)

sample3.8s (20.5%)

Results

2.8s	8256×	0	valid
61.0ms	136×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

...c/correct-round.rkt:121:19: 465.0ms (21.5% of total)

ival-<=: 431.0ms (19.9% of total)

ival-div: 373.0ms (17.2% of total)

ival-mult: 219.0ms (10.1% of total)

ival-log: 213.0ms (9.8% of total)

ival-sub: 206.0ms (9.5% of total)

ival-add: 96.0ms (4.4% of total)

ival-and: 76.0ms (3.5% of total)

ival-exp: 68.0ms (3.1% of total)

const: 15.0ms (0.7% of total)

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

Bogosity

preprocess116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain317.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
91	1	(-3.492543695812473e-19 -1.2640689041520016e-27 -1.7670899555594923e-28 5.007682362046056e-21 7.914153684396297e-5)	34	(3.184046875048807e-7 0.0008217879221774638 4.95987356639063e-29 3.2334980894411667e-15 2.2471443551985833e-31)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
85	5	(3.765960700072642e-37 5.1757023738392523e-20 -4.165602982658855e-19 1.2813045642920602e-23 3.2107168486394944e-12)	28	(8.932480185510804e-33 3.648955790302999e-11 1.7671853980161245e-9 0.0017337853787466884 3.6027544836336745e-10)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	8	(8.072065179770805e-35 8.951069796328028e-24 -8.49447533255443e-5 1.4277480659075081e-5 0.006915310863405466)	1	(-0.045923057943582535 3.63925919077687e-17 -4.071798815223545e-16 1.6702943415579804e-30 0.013005299493670464)	`(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	-	`(/.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	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	12	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	87
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	10	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80
`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	8	7

Confusion

	Predicted +	Predicted -
+	1	2
-	28	225

Precision

0.034482758620689655

Recall

0.3333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	2	0
-	28	4	221

Precision?

0.08571428571428572

Recall?

1.0

Freqs

test

number	freq
0	227
1	28
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

155.0ms

512×

valid

Compiler

Compiled 338 to 86 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-div: 54.0ms (51.6% of total)

ival-mult: 13.0ms (12.4% of total)

ival-add: 12.0ms (11.5% of total)

...c/correct-round.rkt:121:19: 9.0ms (8.6% of total)

ival-log: 8.0ms (7.6% of total)

ival-sub: 5.0ms (4.8% of total)

ival-exp: 4.0ms (3.8% of total)

const: 1.0ms (1% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.6%

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

▶

99.6%

(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)

simplify94.0ms (0.5%)

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×	`fma-neg`
1266×	`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)

localize157.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.7%	(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	99.7%	(+.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	99.3%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Results

118.0ms

256×

valid

Compiler

Compiled 216 to 26 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 8.0ms (21.5% of total)

ival-exp: 5.0ms (13.4% of total)

ival-add: 5.0ms (13.4% of total)

ival-mult: 5.0ms (13.4% of total)

ival-log: 4.0ms (10.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (10.8% of total)

ival-fma: 3.0ms (8.1% of total)

ival-sub: 2.0ms (5.4% of total)

const: 1.0ms (2.7% of total)

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

series118.0ms (0.6%)

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 (+.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)) (+.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)>
#<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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
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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 (*.f32 cosTheta_O cosTheta_i) v)>
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#<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 #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)))>
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#<alt #s(literal 6931/10000 binary32)>
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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
10.0ms	cosTheta_i	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms	v	@	-inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
5.0ms	v	@	inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
2.0ms	cosTheta_O	@	-inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
2.0ms	v	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite395.0ms (2.1%)

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

simplify542.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1610×	`fma-define`
864×	`distribute-lft-in`
822×	`times-frac`
720×	`*-commutative`
474×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1407	65839
1	3931	62816

Stop Event

1×	node limit

Counts

830 → 832

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

eval165.0ms (0.9%)

Compiler: Compiled 34084 to 4772 computations (86% saved)

prune178.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	971	20	991
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	973	20	993

Accuracy

99.9%

Counts

993 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.6%	(pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
	94.3%	(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (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))))))
	99.7%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
▶	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
▶	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))))
	99.7%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
	99.6%	(.f32 (pow.f32 (E.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))))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	11.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) #s(literal 6931/10000 binary32))))
	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
▶	4.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	99.6%	(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)))
	79.8%	(exp.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 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))))
	81.2%	(exp.f32 (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))))
▶	75.7%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))))))

Compiler

Compiled 1140 to 772 computations (32.3% saved)

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	3200	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	cost-diff	0	(+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))
✓	cost-diff	0	(/.f32 #s(literal 6931/10000 binary32) cosTheta_O)
✓	cost-diff	64	(-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))
✓	cost-diff	64	(+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
✓	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	32	(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
	cost-diff	32	(+.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))
	cost-diff	32	(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)))
✓	cost-diff	32	(.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))))

Rules

1374×	`fma-neg`
912×	`associate-+l-`
902×	`exp-sum`
718×	`sub-neg`
670×	`associate-+r-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	2331
1	145	2271
2	375	2265
3	1176	2239
4	4217	2207

Stop Event

1×	node limit

Calls

Call 1

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

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

localize256.0ms (1.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.7%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	99.6%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.7%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))))))
✓	accuracy	99.6%	(/.f32 #s(literal 6931/10000 binary32) cosTheta_O)
✓	accuracy	98.0%	(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))))))
✓	accuracy	93.7%	(/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v))
✓	accuracy	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
✓	accuracy	99.7%	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) 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	99.7%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
	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	99.6%	(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
✓	accuracy	99.2%	(exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
✓	accuracy	98.5%	(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))))

Results

115.0ms	186×	0	unsamplable
51.0ms	70×	0	valid

Compiler

Compiled 594 to 55 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 21.0ms (21.5% of total)

ival-pow: 19.0ms (19.4% of total)

ival-mult: 14.0ms (14.3% of total)

ival-exp: 13.0ms (13.3% of total)

ival-add: 8.0ms (8.2% of total)

ival-sub: 7.0ms (7.2% of total)

ival-fma: 4.0ms (4.1% of total)

ival-log: 4.0ms (4.1% of total)

...c/correct-round.rkt:121:19: 4.0ms (4.1% of total)

ival-cbrt: 2.0ms (2% of total)

const: 1.0ms (1% of total)

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

series635.0ms (3.4%)

Counts

25 → 837

Calls

Call 1

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

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

Calls

234 calls:

Time	Variable		Point	Expression
252.0ms	v	@	-inf	(pow (exp (pow (cbrt (log (/ 1/2 v))) 2)) (cbrt (log (/ 1/2 v))))
65.0ms	cosTheta_i	@	inf	(* (pow (exp (pow (cbrt (log (/ 1/2 v))) 2)) (cbrt (log (/ 1/2 v)))) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
54.0ms	v	@	0	(* (pow (exp (pow (cbrt (log (/ 1/2 v))) 2)) (cbrt (log (/ 1/2 v)))) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
28.0ms	v	@	inf	(pow (exp (pow (cbrt (log (/ 1/2 v))) 2)) (cbrt (log (/ 1/2 v))))
20.0ms	sinTheta_i	@	inf	(* (pow (exp (pow (cbrt (log (/ 1/2 v))) 2)) (cbrt (log (/ 1/2 v)))) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))

rewrite267.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u`
568×	`expm1-log1p-u`
558×	`add-exp-log`
537×	`pow1`
408×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	1230
1	1254	1210

Stop Event

1×	node limit

Counts

25 → 487

Calls

Call 1

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

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

simplify1.2s (6.6%)

Algorithm

1×	egg-herbie

Rules

1246×	`times-frac`
1142×	`*-commutative`
678×	`+-commutative`
620×	`sub-neg`
414×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2095	112884
1	5994	110240

Stop Event

1×	node limit

Counts

1324 → 1089

Calls

Call 1

Inputs
(.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 v)))) (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)))))
(.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 v)))) (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)))))
(.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 v)))) (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)))))
(.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (.f32 #s(literal -1 binary32) (log.f32 v)))) (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)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.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 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.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))) #s(literal 2 binary32)))) v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.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 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (.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)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.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))) #s(literal 3 binary32)))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.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))) #s(literal 2 binary32)))))) v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.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 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))
(.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 (.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)))))
(+.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_i (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.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 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (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 (.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_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (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_i (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.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 4 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))))))))
(.f32 #s(literal 1/2 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))
(.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))
(.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))
(.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))
(.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))
(.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))
(.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))
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(pow.f32 (pow.f32 (exp.f32 cosTheta_O) (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))
(pow.f32 (pow.f32 (exp.f32 cosTheta_O) (sqrt.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))) (sqrt.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))))
(log.f32 (exp.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))

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

eval189.0ms (1%)

Compiler: Compiled 57187 to 7253 computations (87.3% saved)

prune321.0ms (1.7%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1463	21	1484
Fresh	8	7	15
Picked	4	1	5
Done	0	0	0
Total	1475	29	1504

Accuracy

99.9%

Counts

1504 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (sqrt.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))) #s(literal -2 binary32))
	99.6%	(pow.f32 (cbrt.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 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)))))) #s(literal 3 binary32))
	99.6%	(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
▶	96.1%	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))
	99.7%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
	99.5%	(/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v #s(literal 1/2 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))))) #s(literal 3 binary32)))
	99.4%	(/.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))))))
	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 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))))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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)))))
	99.7%	(.f32 (pow.f32 (pow.f32 (E.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))))
	99.6%	(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
	99.6%	(.f32 (pow.f32 (exp.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) #s(literal 3 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))))
	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)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
	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 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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))))
	99.6%	(.f32 (pow.f32 (E.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))))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
✓	4.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	99.6%	(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)))
	81.2%	(exp.f32 (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (+.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))))
	19.2%	(exp.f32 (.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_O))))
▶	13.2%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	96.0%	(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
▶	96.0%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))))
	12.5%	(exp.f32 (.f32 cosTheta_O (.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 sinTheta_i cosTheta_O))))

Compiler

Compiled 1591 to 1108 computations (30.4% saved)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))
✓	cost-diff	0	(E.f32)
✓	cost-diff	320	(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))
✓	cost-diff	320	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))
	cost-diff	0	(+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))
✓	cost-diff	0	(-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)))
	cost-diff	0	(/.f32 #s(literal 6931/10000 binary32) cosTheta_O)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O))))
✓	cost-diff	-3072	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))))
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	cost-diff	6464	(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 binary32))
✓	cost-diff	6464	(exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
✓	cost-diff	6464	(pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	6592	(.f32 (pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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))))

Rules

1046×	`fma-neg`
808×	`exp-sum`
718×	`exp-prod`
634×	`associate-r`
602×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	71	2528
1	157	2510
2	363	2484
3	981	2266
4	2834	2183
5	7580	2179

Stop Event

1×	node limit

Calls

Call 1

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

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

localize348.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))))))
	accuracy	99.6%	(/.f32 #s(literal 6931/10000 binary32) cosTheta_O)
✓	accuracy	98.0%	(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))
✓	accuracy	31.9%	(E.f32)
✓	accuracy	99.7%	(/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
✓	accuracy	99.7%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))))
	accuracy	99.6%	(/.f32 #s(literal 6931/10000 binary32) cosTheta_O)
✓	accuracy	98.0%	(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)))))
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	100.0%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	accuracy	99.8%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	accuracy	99.6%	(exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))))
	accuracy	99.6%	(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
✓	accuracy	99.2%	(exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
✓	accuracy	98.5%	(pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))

Results

135.0ms	186×	0	unsamplable
54.0ms	70×	0	valid

Compiler

Compiled 644 to 62 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-div: 25.0ms (21.5% of total)

ival-pow: 21.0ms (18% of total)

ival-mult: 15.0ms (12.9% of total)

ival-exp: 12.0ms (10.3% of total)

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

ival-add: 8.0ms (6.9% of total)

ival-sub: 6.0ms (5.2% of total)

...c/correct-round.rkt:121:19: 5.0ms (4.3% of total)

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

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

ival-log1p: 3.0ms (2.6% of total)

ival-cbrt: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

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

series196.0ms (1.1%)

Counts

23 → 738

Calls

Call 1

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

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

Calls

207 calls:

Time	Variable		Point	Expression
63.0ms	v	@	inf	(+ (/ 6931/10000 cosTheta_O) (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ 1 (* v cosTheta_O))))
11.0ms	cosTheta_O	@	inf	(/ (log (/ 1/2 v)) cosTheta_O)
2.0ms	v	@	-inf	(pow (E) (* cosTheta_O (+ (/ 6931/10000 cosTheta_O) (+ (/ cosTheta_i v) (- (/ (log (/ 1/2 v)) cosTheta_O) (+ (* (/ sinTheta_O cosTheta_O) (/ sinTheta_i v)) (/ (/ 1 cosTheta_O) v)))))))
2.0ms	sinTheta_i	@	-inf	(pow (E) (* cosTheta_O (+ (/ 6931/10000 cosTheta_O) (+ (/ cosTheta_i v) (- (/ (log (/ 1/2 v)) cosTheta_O) (+ (* (/ sinTheta_O cosTheta_O) (/ sinTheta_i v)) (/ (/ 1 cosTheta_O) v)))))))
2.0ms	v	@	inf	(pow (E) (* cosTheta_O (+ (/ 6931/10000 cosTheta_O) (+ (/ cosTheta_i v) (- (/ (log (/ 1/2 v)) cosTheta_O) (+ (* (/ sinTheta_O cosTheta_O) (/ sinTheta_i v)) (/ (/ 1 cosTheta_O) v)))))))

rewrite233.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log1p-expm1-u`
601×	`expm1-log1p-u`
589×	`add-exp-log`
567×	`pow1`
406×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	1197
1	1364	1179

Stop Event

1×	node limit

Counts

23 → 481

Calls

Call 1

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

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

simplify1.0s (5.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`times-frac`
1002×	`*-commutative`
630×	`+-commutative`
494×	`sub-neg`
416×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1981	4295066914
1	5414	4295064177

Stop Event

1×	node limit

Counts

1219 → 1124

Calls

Call 1

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

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

eval280.0ms (1.5%)

Compiler: Compiled 45447 to 6470 computations (85.8% saved)

prune234.0ms (1.3%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1269	14	1283
Fresh	10	13	23
Picked	3	2	5
Done	1	0	1
Total	1283	29	1312

Accuracy

99.9%

Counts

1312 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (sqrt.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))) #s(literal -2 binary32))
	96.0%	(pow.f32 (sqrt.f32 (E.f32)) (.f32 #s(literal 2 binary32) (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O))))))))
	99.6%	(pow.f32 (cbrt.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 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)))))) #s(literal 3 binary32))
	12.5%	(pow.f32 (E.f32) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	96.1%	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))
	99.7%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
	99.5%	(/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v #s(literal 1/2 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))))) #s(literal 3 binary32)))
	99.4%	(/.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))))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))))
▶	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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)))))
	6.3%	(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32))
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.6%	(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
	99.6%	(.f32 (pow.f32 (exp.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) #s(literal 3 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))))
	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)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
▶	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 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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))))
	96.1%	(.f32 (pow.f32 (E.f32) (/.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (*.f32 cosTheta_O (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))) #s(literal 2 binary32))))
	99.6%	(.f32 (pow.f32 (E.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))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
▶	99.7%	(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
	97.0%	(exp.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))
	99.6%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	13.2%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	96.2%	(exp.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))
	96.0%	(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
	96.0%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1530 to 1041 computations (32% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
✓	cost-diff	6368	(exp.f32 (neg.f32 (log.f32 v)))
✓	cost-diff	6432	(*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v))))
✓	cost-diff	6560	(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
✓	cost-diff	0	(/.f32 v #s(literal 1/2 binary32))
✓	cost-diff	0	(log.f32 (/.f32 v #s(literal 1/2 binary32)))
✓	cost-diff	64	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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))))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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)))))
✓	cost-diff	-3136	(/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
✓	cost-diff	-3136	(.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))))
✓	cost-diff	-3072	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))))
	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
	cost-diff	0	(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
	cost-diff	0	(exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
	cost-diff	0	(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))))

Rules

1220×	`fma-define`
970×	`times-frac`
784×	`fma-neg`
748×	`associate-+l-`
706×	`exp-sum`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1588
1	138	1506
2	315	1488
3	840	1470
4	3200	1425

Stop Event

1×	node limit

Calls

Call 1

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

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

localize312.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	accuracy	99.8%	(-.f32 (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 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
✓	accuracy	98.6%	(exp.f32 (neg.f32 (log.f32 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%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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)))))
✓	accuracy	99.7%	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 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)))
✓	accuracy	99.7%	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 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))))
✓	accuracy	100.0%	(/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
	accuracy	99.6%	(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
	accuracy	99.2%	(exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
	accuracy	98.5%	(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))))
✓	accuracy	98.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Results

185.0ms	186×	0	unsamplable
43.0ms	70×	0	valid

Compiler

Compiled 437 to 54 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-add: 28.0ms (22.2% of total)

ival-exp: 23.0ms (18.2% of total)

ival-div: 21.0ms (16.6% of total)

ival-mult: 13.0ms (10.3% of total)

ival-log: 11.0ms (8.7% of total)

ival-pow: 11.0ms (8.7% of total)

ival-sub: 8.0ms (6.3% of total)

...c/correct-round.rkt:121:19: 4.0ms (3.2% of total)

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

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

const: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

series339.0ms (1.8%)

Counts

18 → 628

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
67.0ms	v	@	-inf	(* 1/2 (exp (neg (log v))))
20.0ms	v	@	inf	(* 1/2 (exp (neg (log v))))
16.0ms	cosTheta_O	@	inf	(* (* 1/2 (exp (neg (log v)))) (exp (- (* cosTheta_O (/ cosTheta_i v)) (- (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v)) 6931/10000))))
15.0ms	v	@	0	(* (* 1/2 (exp (neg (log v)))) (exp (- (* cosTheta_O (/ cosTheta_i v)) (- (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v)) 6931/10000))))
15.0ms	v	@	0	(log (/ v 1/2))

rewrite178.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`log1p-expm1-u`
412×	`expm1-log1p-u`
409×	`add-exp-log`
405×	`add-log-exp`
403×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	757
1	984	741

Stop Event

1×	node limit

Counts

18 → 365

Calls

Call 1

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

simplify578.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1450×	`times-frac`
1188×	`*-commutative`
640×	`+-commutative`
572×	`sub-neg`
460×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1938	75749
1	5688	73729

Stop Event

1×	node limit

Counts

993 → 954

Calls

Call 1

Inputs
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(.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 #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 #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 #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 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) v)
(/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))) v)
(/.f32 (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) v))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 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))
(.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 #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 #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 #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 #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 #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 #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 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 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))
(.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 #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 #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 #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 #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 #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 #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 #s(literal 2 binary32) (/.f32 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 2 binary32) (/.f32 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 2 binary32) (/.f32 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 2 binary32) (/.f32 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 2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 v (+.f32 (.f32 #s(literal -2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
(.f32 v (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))))
(.f32 v (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (.f32 (+.f32 (.f32 #s(literal -2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) (+.f32 (.f32 #s(literal -2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 #s(literal -1 binary32) (.f32 v (-.f32 (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))))
(.f32 #s(literal -1 binary32) (.f32 v (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (.f32 #s(literal 2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))) (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))))
(.f32 #s(literal -1 binary32) (.f32 v (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (+.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 v (exp.f32 #s(literal 6931/10000 binary32))))) (/.f32 (.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (.f32 #s(literal 2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (.f32 #s(literal 2 binary32) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))))) v)) (.f32 #s(literal 2 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
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(*.f32 #s(literal 1 binary32) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 2 binary32))
(log.f32 (exp.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 binary32) (expm1.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))

Outputs
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))
(cbrt.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(cbrt.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(.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 (*.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)))) v)
(.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 (*.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)))) v)
(.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 (*.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)))) v)
(.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 (*.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)))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))) v)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) v)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) v)
(/.f32 (+.f32 (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))) v)
(/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))) v)
(/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) v))
(neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32))) v) (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32))) v) (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v)) v))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) v))) v)) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/12 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 3 binary32)) v)))) v) (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/12 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 3 binary32)) v)))) v)) v)) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) 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 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))
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(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (+.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O v)))) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v))))
(.f32 cosTheta_O (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v) (-.f32 (+.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(.f32 cosTheta_O (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v) (-.f32 (+.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O cosTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v)
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 6931/10000 binary32)) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32)) cosTheta_O) (/.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) cosTheta_O) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 6931/10000 binary32)) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32)) cosTheta_O) (/.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) cosTheta_O) (/.f32 cosTheta_i v))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 6931/10000 binary32)) cosTheta_O)) (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32)) cosTheta_O) (/.f32 cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) cosTheta_O) (/.f32 cosTheta_i v))))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_i))) (+.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 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_i))))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_i))) (+.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 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_i))))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_i))) (+.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 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))))))
(.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (-.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_i))))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (-.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (-.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i))))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (-.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) sinTheta_i))))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(-.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_O))) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_O))) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_O))) (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_O)))))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 1 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))) #s(literal 2 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.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))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.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))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 3 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))))
(expm1.f32 (log1p.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))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.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))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.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))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_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_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) #s(literal 6931/10000 binary32))
(+.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 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(/.f32 (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal -332956652491/1000000000000 binary32)) (+.f32 (+.f32 (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 3 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 2 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(log.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(cbrt.f32 (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32)))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(expm1.f32 (log1p.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (log.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))

eval144.0ms (0.8%)

Compiler: Compiled 42120 to 5773 computations (86.3% saved)

prune264.0ms (1.4%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1089	12	1101
Fresh	7	15	22
Picked	3	2	5
Done	1	1	2
Total	1100	30	1130

Accuracy

99.9%

Counts

1130 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (sqrt.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))) #s(literal -2 binary32))
	99.6%	(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	96.1%	(pow.f32 (E.f32) (*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))))
	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
	99.5%	(/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (/.f32 (/.f32 v #s(literal 1/2 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))))) #s(literal 3 binary32)))
	99.4%	(/.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))))))
	99.5%	(/.f32 #s(literal 1 binary32) (*.f32 v (pow.f32 (cbrt.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 3 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	13.2%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v)))
	12.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))))
	25.3%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log1p.f32 (-.f32 (.f32 v #s(literal 2 binary32)) #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)))))
	6.3%	(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32))
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.6%	(.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
	99.7%	(.f32 (pow.f32 (exp.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) #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 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
✓	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))))
	96.1%	(.f32 (pow.f32 (E.f32) (/.f32 (.f32 cosTheta_O (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (*.f32 cosTheta_O (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))))) #s(literal 2 binary32))))
	99.6%	(.f32 (pow.f32 (E.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))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	99.7%	(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 v))) #s(literal 2 binary32))) (cbrt.f32 (neg.f32 (log.f32 v))))) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
	99.7%	(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
	99.7%	(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 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 (expm1.f32 (log1p.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))))
	99.6%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	13.2%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	96.0%	(exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))))
	96.0%	(exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 2304 to 879 computations (61.8% saved)

regimes195.0ms (1.1%)

Counts

70 → 1

Calls

Call 1

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

Outputs

(*.f32 (pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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))))

Calls

9 calls:

42.0ms	sinTheta_O
18.0ms	sinTheta_i
18.0ms	cosTheta_O
18.0ms	cosTheta_i
18.0ms	(+.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))))

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	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))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes293.0ms (1.6%)

Counts

69 → 1

Calls

Call 1

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

Outputs

(*.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))))

Calls

9 calls:

137.0ms	v
22.0ms	sinTheta_i
21.0ms	cosTheta_i
18.0ms	(*.f32 cosTheta_i cosTheta_O)
17.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	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))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes178.0ms (1%)

Counts

61 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

38.0ms	sinTheta_O
17.0ms	cosTheta_i
17.0ms	(*.f32 cosTheta_i cosTheta_O)
16.0ms	(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)))))
15.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	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))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes129.0ms (0.7%)

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

17.0ms	sinTheta_i
15.0ms	cosTheta_i
15.0ms	(+.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))))
14.0ms	v
14.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	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))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes155.0ms (0.8%)

Counts

43 → 1

Calls

Call 1

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

Outputs
(.f32 (expm1.f32 (log1p.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))))

Calls

9 calls:

43.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	(+.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))))
13.0ms	cosTheta_i
13.0ms	cosTheta_O
13.0ms	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	`(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)))))`
99.7%	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))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes103.0ms (0.6%)

Counts

42 → 1

Calls

Call 1

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

Outputs
(.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))))

Calls

9 calls:

13.0ms	sinTheta_O
12.0ms	sinTheta_i
12.0ms	cosTheta_i
11.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes30.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	cosTheta_i
6.0ms	sinTheta_O
5.0ms	cosTheta_O
5.0ms	sinTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes20.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`cosTheta_i`
97.0%	1	`cosTheta_O`
97.0%	1	`sinTheta_i`
97.0%	1	`sinTheta_O`
97.0%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes18.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`cosTheta_i`
16.6%	2	`cosTheta_O`
13.2%	1	`sinTheta_i`
16.5%	2	`sinTheta_O`
13.2%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

cosTheta_O

Results

Accuracy	Segments	Branch
16.6%	2	`cosTheta_O`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes14.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`cosTheta_i`
13.2%	1	`sinTheta_i`
13.2%	1	`v`
13.2%	1	`sinTheta_O`
13.2%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.2%)

Threshold costs -0b (-0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`cosTheta_i`
6.5%	1	`sinTheta_O`
6.5%	1	`cosTheta_O`
6.5%	1	`sinTheta_i`
6.5%	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	8.012768829842585e-19	8.80731251433945e-19

Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.012768829842585e-19	8.80731251433945e-19

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`unsub-neg`
60×	`*-commutative`
56×	`neg-mul-1`
44×	`+-commutative`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	797
1	134	797
2	166	797
3	192	797
4	239	797
5	314	797
6	322	797

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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 (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 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(.f32 (expm1.f32 (log1p.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 (/.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 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(exp.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (pow.f32 (E.f32) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
#s(literal 1 binary32)

Outputs
(.f32 (pow.f32 (exp.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal 1 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 (exp.f32 (+.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1 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 (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 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) 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 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) v))))
(.f32 (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal -1 binary32) v)))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))))
(.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (log.f32 v)))))
(.f32 (expm1.f32 (log1p.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 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v))) (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) v))) (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_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 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(exp.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (pow.f32 (E.f32) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (pow.f32 (E.f32) (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (pow.f32 (E.f32) (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(if (<=.f32 cosTheta_O #s(literal 16441391/19342813113834066795298816 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
#s(literal 1 binary32)

soundness2.9s (16%)

Rules

1610×	`fma-define`
1590×	`exp-diff`
1500×	`times-frac`
1450×	`times-frac`
1246×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1981	4295066914
1	5414	4295064177
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	1407	65839
1	3931	62816
0	35	539
1	518	501
2	7461	501
0	2095	112884
1	5994	110240
0	64	1230
1	1254	1210
0	1938	75749
1	5688	73729

Stop Event

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

Compiler

Compiled 2909 to 809 computations (72.2% saved)

preprocess384.0ms (2.1%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 2284 to 1432 computations (37.3% saved)

analyze748.0ms (4.1%)

sample3.8s (20.5%)

preprocess116.0ms (0.6%)

explain317.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify94.0ms (0.5%)

localize157.0ms (0.9%)

series118.0ms (0.6%)

rewrite395.0ms (2.1%)

simplify542.0ms (2.9%)

eval165.0ms (0.9%)

prune178.0ms (1%)

simplify130.0ms (0.7%)

localize256.0ms (1.4%)

series635.0ms (3.4%)

rewrite267.0ms (1.4%)

simplify1.2s (6.6%)

eval189.0ms (1%)

prune321.0ms (1.7%)

simplify111.0ms (0.6%)

localize348.0ms (1.9%)

series196.0ms (1.1%)

rewrite233.0ms (1.3%)

simplify1.0s (5.7%)

eval280.0ms (1.5%)

prune234.0ms (1.3%)

simplify65.0ms (0.4%)

localize312.0ms (1.7%)

series339.0ms (1.8%)

rewrite178.0ms (1%)

simplify578.0ms (3.1%)

eval144.0ms (0.8%)

prune264.0ms (1.4%)

regimes195.0ms (1.1%)

regimes293.0ms (1.6%)

regimes178.0ms (1%)

regimes129.0ms (0.7%)

regimes155.0ms (0.8%)

regimes103.0ms (0.6%)

regimes30.0ms (0.2%)

regimes20.0ms (0.1%)

regimes18.0ms (0.1%)

regimes3.0ms (0%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

soundness2.9s (16%)

preprocess384.0ms (2.1%)

end0.0ms (0%)

Profiling