Metrics for HairBSDF, Mp, lower

analyze546.0ms (4%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-<=: 100.0ms (32.9% of total)

ival-mult: 54.0ms (17.8% of total)

ival-div: 41.0ms (13.5% of total)

ival-exp: 22.0ms (7.2% of total)

ival-add: 21.0ms (6.9% of total)

ival-sub: 19.0ms (6.3% of total)

ival-log: 19.0ms (6.3% of total)

ival-and: 16.0ms (5.3% of total)

const: 12.0ms (3.9% of total)

sample3.4s (24.5%)

Results

2.5s	8256×	0	valid
30.0ms	144×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub: 464.0ms (24.4% of total)

ival-<=: 374.0ms (19.7% of total)

ival-mult: 364.0ms (19.1% of total)

ival-div: 270.0ms (14.2% of total)

ival-log: 131.0ms (6.9% of total)

ival-add: 99.0ms (5.2% of total)

ival-and: 73.0ms (3.8% of total)

ival-exp: 65.0ms (3.4% of total)

const: 56.0ms (2.9% of total)

backward-pass: 5.0ms (0.3% of total)

Bogosity

preprocess125.0ms (0.9%)

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

explain342.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
88	3	(-2.681987692333297e-31 -4.223433251289101e-35 1.2306579244629144e-35 1.4811874600104136e-12 8.590201998910002e-21)	34	(-2.914814611898464e-9 -5.675496082002652e-36 -2.5684329151374724e-36 4.825987475490934e-22 1.3344361746064338e-32)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
79	2	(3.508084868558696e-19 0.4628985822200775 2.2244822934826681e-32 2.7428676484525917e-16 0.001582305645570159)	31	(-3.631830054220863e-19 -6.415447519192833e-27 1.2469788659327977e-31 3.148213981174486e-11 1.010938992426836e-18)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	4	(3.508084868558696e-19 0.4628985822200775 2.2244822934826681e-32 2.7428676484525917e-16 0.001582305645570159)	2	(2.85749699227265e-30 1.1201707757597749e-26 -3.71819072689389e-36 0.9209888577461243 0.015359194949269295)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`

Results

237.0ms

512×

256

valid

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-div: 78.0ms (46.4% of total)

ival-log: 29.0ms (17.3% of total)

ival-mult: 26.0ms (15.5% of total)

ival-sub: 13.0ms (7.7% of total)

ival-add: 12.0ms (7.1% of total)

const: 5.0ms (3% of total)

ival-exp: 4.0ms (2.4% of total)

eval5.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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))))
▶	99.5%	(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)))))

Status

Accuracy

Program

▶

99.5%

(*.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))))

▶

99.5%

(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)))))

Compiler

Compiled 56 to 40 computations (28.6% saved)

localize242.0ms (1.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.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))))
✓	99.9%	(+.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))
✓	99.5%	(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)))
✓	99.4%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	99.8%	(+.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%	(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)))))
✓	80.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	78.9%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Results

179.0ms

256×

256

valid

Compiler

Compiled 240 to 98 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 39.0ms (24.7% of total)

ival-add: 31.0ms (19.6% of total)

composed: 27.0ms (17.1% of total)

ival-mult: 26.0ms (16.5% of total)

ival-log: 13.0ms (8.2% of total)

ival-sub: 10.0ms (6.3% of total)

ival-exp: 7.0ms (4.4% of total)

const: 4.0ms (2.5% of total)

series105.0ms (0.8%)

Counts

8 → 408

Calls

Call 1

Inputs
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (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)))))>
#<alt (+.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))))>
#<alt (*.f32 cosTheta_O (/.f32 cosTheta_i v))>
#<alt (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)))>
#<alt (+.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))>
#<alt (.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))))>

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

102 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
6.0ms	v	@	-inf	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
3.0ms	cosTheta_i	@	inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
3.0ms	cosTheta_i	@	0	(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
2.0ms	v	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite221.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`frac-times`
261×	`log1p-expm1-u`
261×	`expm1-log1p-u`
257×	`add-exp-log`
256×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	432
1	691	387

Stop Event

1×	node limit

Counts

8 → 325

Calls

Call 1

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

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

simplify233.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1354×	`fma-define`
944×	`times-frac`
638×	`distribute-rgt-in`
618×	`distribute-lft-in`
580×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1102	55089
1	3187	50571

Stop Event

1×	node limit

Counts

733 → 486

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

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

eval270.0ms (2%)

Compiler: Compiled 16678 to 9753 computations (41.5% saved)

prune141.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	471	15	486
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	473	15	488

Accuracy

99.8%

Counts

488 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #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)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	99.6%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
	99.6%	(.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)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
	83.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
	99.5%	(.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))))
	76.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.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))))))
	4.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	4.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶	96.6%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
▶	99.5%	(exp.f32 (-.f32 (+.f32 #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)))
▶	76.5%	(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)))))
	14.6%	(exp.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)))
▶	99.6%	(exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (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))))))

Compiler

Compiled 758 to 558 computations (26.4% saved)

localize709.0ms (5.2%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	98.8%	(*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i))
✓	95.3%	(-.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)))
✓	55.1%	(.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))))
✓	50.8%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i v))
✓	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.7%	(-.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))
✓	99.7%	(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)))
✓	78.9%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.9%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
✓	99.5%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
✓	99.1%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	99.7%	(exp.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (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))))))
✓	99.5%	(/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
✓	80.0%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	57.7%	(.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (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))))

Results

550.0ms

256×

256

valid

Compiler

Compiled 556 to 283 computations (49.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-div: 173.0ms (40.5% of total)

ival-log: 90.0ms (21.1% of total)

ival-add: 64.0ms (15% of total)

ival-mult: 56.0ms (13.1% of total)

ival-sub: 17.0ms (4% of total)

ival-exp: 17.0ms (4% of total)

const: 11.0ms (2.6% of total)

series182.0ms (1.3%)

Counts

15 → 392

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
29.0ms	cosTheta_O	@	0	(/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)
25.0ms	sinTheta_i	@	-inf	(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
10.0ms	cosTheta_O	@	inf	(/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)
4.0ms	cosTheta_i	@	0	(* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
3.0ms	cosTheta_O	@	0	(* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`log1p-expm1-u`
558×	`expm1-log1p-u`
546×	`add-exp-log`
522×	`pow1`
432×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	892
1	1162	852

Stop Event

1×	node limit

Counts

15 → 358

Calls

Call 1

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

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

simplify279.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1032×	`distribute-rgt-in`
1020×	`distribute-lft-in`
730×	`*-commutative`
670×	`times-frac`
514×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1458	61915
1	4114	60913

Stop Event

1×	node limit

Counts

750 → 689

Calls

Call 1

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

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

eval358.0ms (2.6%)

Compiler: Compiled 22021 to 13239 computations (39.9% saved)

prune305.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	679	10	689
Fresh	3	7	10
Picked	5	0	5
Done	0	0	0
Total	687	17	704

Accuracy

99.9%

Counts

704 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) (/.f32 cosTheta_i v)))) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) (/.f32 cosTheta_i v)))))
▶	99.6%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.6%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (neg.f32 (/.f32 cosTheta_i v)))))
	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
	99.6%	(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
	99.6%	(.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)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
▶	83.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
▶	99.5%	(.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))))
	76.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.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))))))
	96.6%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶	99.6%	(exp.f32 (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O)))
	14.6%	(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
	96.4%	(exp.f32 (.f32 sinTheta_i (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (-.f32 (/.f32 #s(literal -1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
	11.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 830 to 614 computations (26% saved)

localize438.0ms (3.2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	99.8%	(+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	99.5%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	99.7%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
✓	99.5%	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓	93.9%	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	90.4%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	99.9%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
	81.9%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
✓	99.7%	(exp.f32 (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O)))
✓	99.6%	(/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O))
✓	62.3%	(*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))

Results

299.0ms	230×	256	valid
28.0ms	26×	256	unsamplable

Compiler

Compiled 373 to 183 computations (50.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-div: 90.0ms (36.5% of total)

ival-add: 45.0ms (18.2% of total)

ival-log: 43.0ms (17.4% of total)

ival-exp: 19.0ms (7.7% of total)

ival-sub: 15.0ms (6.1% of total)

ival-mult: 14.0ms (5.7% of total)

ival-pow: 11.0ms (4.5% of total)

const: 8.0ms (3.2% of total)

ival-neg: 1.0ms (0.4% of total)

series122.0ms (0.9%)

Counts

15 → 547

Calls

Call 1

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

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

147 calls:

Time	Variable		Point	Expression
12.0ms	v	@	-inf	(+ 6931/10000 (log (/ 1/2 v)))
11.0ms	v	@	0	(+ 6931/10000 (log (/ 1/2 v)))
5.0ms	v	@	inf	(+ 6931/10000 (log (/ 1/2 v)))
4.0ms	sinTheta_O	@	-inf	(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
3.0ms	cosTheta_O	@	0	(/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ 1 v) -6931/10000)))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`log1p-expm1-u`
422×	`expm1-log1p-u`
415×	`add-exp-log`
414×	`add-log-exp`
410×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	723
1	921	699

Stop Event

1×	node limit

Counts

15 → 397

Calls

Call 1

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

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

simplify307.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1918×	`times-frac`
846×	`*-commutative`
618×	`+-commutative`
428×	`sub-neg`
316×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1692	63460
1	4752	62049

Stop Event

1×	node limit

Counts

944 → 780

Calls

Call 1

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

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

eval914.0ms (6.7%)

Compiler: Compiled 26841 to 16148 computations (39.8% saved)

prune214.0ms (1.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	858	11	869
Fresh	4	8	12
Picked	4	1	5
Done	0	0	0
Total	866	20	886

Accuracy

99.9%

Counts

886 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) (/.f32 cosTheta_i v)))) #s(literal 2 binary32))) (cbrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) (/.f32 cosTheta_i v)))))
	99.6%	(pow.f32 (pow.f32 (E.f32) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))) #s(literal 2 binary32))
	99.5%	(pow.f32 (sqrt.f32 (E.f32)) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
	99.5%	(pow.f32 (cbrt.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
	99.6%	(pow.f32 (E.f32) (*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) cosTheta_O)))
▶	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
	83.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
	83.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 (E.f32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
▶	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)))))))
	96.6%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶	99.6%	(exp.f32 (*.f32 (-.f32 (/.f32 (-.f32 #s(literal -6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O)))
	14.6%	(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
	96.4%	(exp.f32 (.f32 sinTheta_i (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (-.f32 (/.f32 #s(literal -1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
▶	11.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 938 to 712 computations (24.1% saved)

localize865.0ms (6.3%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	99.9%	(+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓	99.5%	(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓	99.3%	(sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
✓	99.8%	(+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	99.7%	(exp.f32 (*.f32 (-.f32 (/.f32 (-.f32 #s(literal -6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O)))
✓	99.5%	(/.f32 (-.f32 #s(literal -6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
✓	57.7%	(*.f32 (-.f32 (/.f32 (-.f32 #s(literal -6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
✓	100.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	99.9%	(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
	99.5%	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓	99.8%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	99.4%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
✓	99.7%	(exp.f32 (*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) cosTheta_O))
	99.5%	(/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O))
✓	57.7%	(*.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) cosTheta_O)

Results

724.0ms

256×

256

valid

Compiler

Compiled 426 to 243 computations (43% saved)

Precisions

Click to see histograms. Total time spent on operations: 641.0ms

ival-div: 444.0ms (69.3% of total)

ival-log: 62.0ms (9.7% of total)

ival-add: 34.0ms (5.3% of total)

ival-exp: 33.0ms (5.1% of total)

ival-sub: 26.0ms (4.1% of total)

ival-mult: 18.0ms (2.8% of total)

const: 10.0ms (1.6% of total)

ival-sqrt: 6.0ms (0.9% of total)

ival-pow: 6.0ms (0.9% of total)

ival-neg: 1.0ms (0.2% of total)

series129.0ms (0.9%)

Counts

14 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
41.0ms	v	@	0	(* (/ 1/2 v) (/ 1 (exp (+ (/ 1 v) -6931/10000))))
7.0ms	cosTheta_i	@	0	(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
5.0ms	v	@	0	(exp (* (- (/ (- -6931/10000 (+ (/ -1 v) (log (/ 1/2 v)))) cosTheta_O) (/ cosTheta_i v)) (neg cosTheta_O)))
4.0ms	cosTheta_O	@	inf	(* (- (/ (- -6931/10000 (+ (/ -1 v) (log (/ 1/2 v)))) cosTheta_O) (/ cosTheta_i v)) (neg cosTheta_O))
2.0ms	cosTheta_i	@	0	(sqrt (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))

rewrite163.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`log1p-expm1-u`
427×	`expm1-log1p-u`
425×	`add-exp-log`
424×	`add-log-exp`
422×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	672
1	942	660

Stop Event

1×	node limit

Counts

14 → 336

Calls

Call 1

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

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

simplify378.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1698×	`fma-define`
850×	`*-commutative`
750×	`distribute-lft-in`
734×	`distribute-rgt-in`
708×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1494	55785
1	4063	53058

Stop Event

1×	node limit

Counts

804 → 685

Calls

Call 1

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

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

eval471.0ms (3.4%)

Compiler: Compiled 24834 to 16706 computations (32.7% saved)

prune222.0ms (1.6%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	846	15	861
Fresh	5	9	14
Picked	4	1	5
Done	0	1	1
Total	855	26	881

Accuracy

99.9%

Counts

881 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	98.1%	(pow.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.6%	(pow.f32 (pow.f32 (E.f32) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))) #s(literal 2 binary32))
	99.5%	(pow.f32 (sqrt.f32 (E.f32)) (.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
	99.6%	(pow.f32 (cbrt.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal 3 binary32))
	99.6%	(pow.f32 (E.f32) (*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v))))
	99.5%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (sqrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v))))) (sqrt.f32 (.f32 cosTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v))))))
	99.6%	(/.f32 #s(literal 1 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))))
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (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))) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) #s(literal 2 binary32)))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (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))))) #s(literal 3 binary32)) #s(literal 2 binary32)))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (pow.f32 (exp.f32 #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)))) #s(literal 2 binary32)))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (sqrt.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32)))
	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	96.6%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	96.8%	(exp.f32 (*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O)))
	14.6%	(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
	96.4%	(exp.f32 (.f32 sinTheta_i (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (-.f32 (/.f32 #s(literal -1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
✓	11.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	99.6%	(exp.f32 (*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal -6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1554 to 1070 computations (31.1% saved)

regimes120.0ms (0.9%)

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

18.0ms	v
15.0ms	cosTheta_O
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	sinTheta_O
14.0ms	cosTheta_i

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 80 computations (23.8% saved)

regimes58.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

9.0ms	cosTheta_i
9.0ms	cosTheta_O
8.0ms	sinTheta_i
7.0ms	sinTheta_O
7.0ms	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`
99.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes33.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	sinTheta_O
7.0ms	sinTheta_i
7.0ms	cosTheta_i
6.0ms	cosTheta_O
6.0ms	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)

regimes70.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

52.0ms	sinTheta_O
5.0ms	cosTheta_O
4.0ms	sinTheta_i
4.0ms	v
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.5%	1	`cosTheta_i`
99.5%	1	`cosTheta_O`
99.5%	1	`sinTheta_i`
99.5%	1	`sinTheta_O`
99.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes21.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`cosTheta_i`
99.5%	1	`cosTheta_O`
99.5%	1	`sinTheta_i`
99.5%	1	`sinTheta_O`
99.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes19.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	v
4.0ms	cosTheta_i
3.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta_i`
96.6%	1	`cosTheta_O`
96.6%	1	`sinTheta_i`
96.6%	1	`sinTheta_O`
96.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
14.6%	1	`cosTheta_i`
14.6%	1	`cosTheta_O`
14.6%	1	`sinTheta_i`
14.6%	1	`sinTheta_O`
14.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	sinTheta_O
3.0ms	v
3.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
14.6%	1	`cosTheta_i`
14.6%	1	`sinTheta_O`
14.6%	1	`cosTheta_O`
14.6%	1	`sinTheta_i`
14.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes13.0ms (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))
(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)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
11.3%	1	`cosTheta_i`
11.3%	1	`sinTheta_O`
11.3%	1	`sinTheta_i`
11.3%	1	`v`
11.3%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`sinTheta_O`
6.5%	1	`cosTheta_i`
6.5%	1	`v`
6.5%	1	`cosTheta_O`
6.5%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

358×	`unsub-neg`
354×	`distribute-lft-neg-in`
268×	`neg-mul-1`
170×	`neg-sub0`
124×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	400
1	104	400
2	154	400
3	214	400
4	259	396
5	306	396
6	370	396
7	419	396
8	587	396
9	792	396
10	909	396
11	1000	396
12	1097	396
13	1189	396
14	1248	396
15	1283	396
16	1296	396

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (9.2%)

Rules

1918×	`times-frac`
1698×	`fma-define`
1590×	`exp-diff`
1500×	`times-frac`
1354×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1102	55089
1	3187	50571
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	41	432
1	691	387
0	1458	61915
1	4114	60913
0	1494	55785
1	4063	53058
0	50	723
1	921	699
0	1692	63460
1	4752	62049

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 1336 to 826 computations (38.2% saved)

preprocess135.0ms (1%)

Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 1370 to 1036 computations (24.4% saved)

analyze546.0ms (4%)

sample3.4s (24.5%)

preprocess125.0ms (0.9%)

explain342.0ms (2.5%)

eval5.0ms (0%)

prune2.0ms (0%)

localize242.0ms (1.8%)

series105.0ms (0.8%)

rewrite221.0ms (1.6%)

simplify233.0ms (1.7%)

eval270.0ms (2%)

prune141.0ms (1%)

localize709.0ms (5.2%)

series182.0ms (1.3%)

rewrite125.0ms (0.9%)

simplify279.0ms (2%)

eval358.0ms (2.6%)

prune305.0ms (2.2%)

localize438.0ms (3.2%)

series122.0ms (0.9%)

rewrite113.0ms (0.8%)

simplify307.0ms (2.2%)

eval914.0ms (6.7%)

prune214.0ms (1.6%)

localize865.0ms (6.3%)

series129.0ms (0.9%)

rewrite163.0ms (1.2%)

simplify378.0ms (2.8%)

eval471.0ms (3.4%)

prune222.0ms (1.6%)

regimes120.0ms (0.9%)

regimes58.0ms (0.4%)

regimes33.0ms (0.2%)

regimes70.0ms (0.5%)

regimes21.0ms (0.2%)

regimes19.0ms (0.1%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

simplify47.0ms (0.3%)

soundness1.3s (9.2%)

preprocess135.0ms (1%)

end0.0ms (0%)

Profiling