Metrics for HairBSDF, Mp, lower

analyze752.0ms (6.6%)

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: 523.0ms

ival-<=: 227.0ms (43.4% of total)

ival-exp: 107.0ms (20.5% of total)

ival-mult: 47.0ms (9% of total)

ival-sub: 40.0ms (7.6% of total)

ival-div: 33.0ms (6.3% of total)

ival-add: 19.0ms (3.6% of total)

ival-log: 19.0ms (3.6% of total)

ival-and: 19.0ms (3.6% of total)

const: 12.0ms (2.3% of total)

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

sample3.0s (26.5%)

Results

2.2s	8256×	0	valid
25.0ms	133×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-<=: 734.0ms (40.2% of total)

ival-div: 272.0ms (14.9% of total)

ival-mult: 251.0ms (13.8% of total)

ival-log: 131.0ms (7.2% of total)

ival-add: 111.0ms (6.1% of total)

ival-sub: 105.0ms (5.8% of total)

ival-exp: 88.0ms (4.8% of total)

ival-and: 73.0ms (4% of total)

const: 56.0ms (3.1% of total)

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

Bogosity

preprocess185.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain312.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
106	3	(-1.628594710662628e-25 3.654178561054066e-37 2.0298673418872397e-16 4.1749330174856364e-16 4.62815659093422e-18)	38	(-8.834919198542257e-26 5.022806115544495e-18 -2.278270683220285e-9 1.2560213499981612e-16 2.8192529200055105e-8)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
91	5	(1.4661311857037988e-36 3.6563596429217256e-21 -6.384346446892901e-27 -5.232708546783846e-38 7.701889023238898e-20)	25	(-2.5327355566450552e-33 -6.584251274691697e-37 -6.604255090529627e-37 4.1830713826129795e-7 1.3449184802524056e-27)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	4	(-2.0023000156218253e-19 -1.3504748663828667e-30 8.512008978628541e-34 0.04837074503302574 0.007172152400016785)	1	(-1.146691140080943e-21 0.15841735899448395 -3.426038633057151e-20 -1.868373883880138e-33 0.017507361248135567)	`(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)))))`
1	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`

Results

201.0ms

512×

valid

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-div: 41.0ms (28.4% of total)

ival-log: 33.0ms (22.9% of total)

ival-mult: 31.0ms (21.5% of total)

ival-add: 18.0ms (12.5% of total)

ival-sub: 12.0ms (8.3% of total)

const: 5.0ms (3.5% of total)

ival-exp: 4.0ms (2.8% of total)

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

eval1.0ms (0%)

Compiler: Compiled 91 to 53 computations (41.8% saved)

prune1.0ms (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_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))

Status

Accuracy

Program

▶

99.5%

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize152.0ms (1.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Results

123.0ms

256×

valid

Compiler

Compiled 107 to 46 computations (57% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 50.0ms (51.6% of total)

ival-div: 18.0ms (18.6% of total)

ival-fma: 13.0ms (13.4% of total)

ival-mult: 6.0ms (6.2% of total)

ival-sub: 5.0ms (5.2% of total)

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

const: 2.0ms (2.1% of total)

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

series78.0ms (0.7%)

Counts

4 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
18.0ms	sinTheta_i	@	0	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
8.0ms	cosTheta_i	@	0	(* cosTheta_i (/ cosTheta_O v))
4.0ms	v	@	inf	(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000))
4.0ms	v	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)
2.0ms	cosTheta_i	@	-inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))

rewrite310.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`log1p-expm1-u`
808×	`expm1-log1p-u`
280×	`associate-r`
180×	`associate-l`
159×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	243
1	364	243
2	4934	243

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify294.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1120×	`fma-neg`
814×	`associate-r`
738×	`fma-define`
694×	`*-commutative`
590×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	608	27399
1	1745	25269
2	6444	22002

Stop Event

1×	node limit

Counts

325 → 325

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

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

eval115.0ms (1%)

Compiler: Compiled 12129 to 6957 computations (42.6% saved)

prune63.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	318	7	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	7	326

Accuracy

100.0%

Counts

326 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
▶	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32))))
▶	12.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) v)))
▶	4.4%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	99.9%	(.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))
▶	4.4%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))

Compiler

Compiled 286 to 216 computations (24.5% saved)

localize294.0ms (2.6%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
✓	99.9%	(exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
✓	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32))))
	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	100.0%	(exp.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v))
✓	99.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) v)))
✓	75.2%	(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
✓	99.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	99.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
✓	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(-.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))
✓	72.8%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Results

189.0ms

256×

valid

Compiler

Compiled 254 to 118 computations (53.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-div: 47.0ms (35.2% of total)

ival-exp: 29.0ms (21.7% of total)

ival-fma: 20.0ms (15% of total)

ival-mult: 16.0ms (12% of total)

ival-sub: 9.0ms (6.7% of total)

ival-add: 6.0ms (4.5% of total)

const: 5.0ms (3.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

series82.0ms (0.7%)

Counts

13 → 367

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite208.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`log1p-expm1-u`
286×	`expm1-log1p-u`
285×	`add-exp-log`
285×	`add-log-exp`
284×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	504
1	686	470

Stop Event

1×	node limit

Counts

13 → 391

Calls

Call 1

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

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

simplify367.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1588×	`fma-define`
926×	`times-frac`
776×	`*-commutative`
686×	`distribute-rgt-in`
682×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1451	44652
1	4032	41924

Stop Event

1×	node limit

Counts

758 → 794

Calls

Call 1

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

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

eval303.0ms (2.6%)

Compiler: Compiled 22367 to 13433 computations (39.9% saved)

prune178.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	812	7	819
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	819	7	826

Accuracy

100.0%

Counts

826 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.4%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
▶	4.5%	(/.f32 #s(literal 1/2 binary32) v)
▶	4.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
	99.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v))
▶	99.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) v))
	99.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v))
▶	99.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))

Compiler

Compiled 236 to 190 computations (19.5% saved)

localize363.0ms (3.2%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
✓	99.9%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	100.0%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	99.9%	(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	99.8%	(/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
✓	75.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	100.0%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
✓	99.3%	(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓	99.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
✓	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓	98.8%	(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Results

237.0ms

256×

valid

Compiler

Compiled 218 to 124 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-div: 47.0ms (31.1% of total)

ival-pow: 27.0ms (17.9% of total)

ival-sub: 21.0ms (13.9% of total)

ival-mult: 18.0ms (11.9% of total)

ival-exp: 13.0ms (8.6% of total)

ival-cbrt: 10.0ms (6.6% of total)

ival-add: 9.0ms (6% of total)

const: 6.0ms (4% of total)

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

series68.0ms (0.6%)

Counts

14 → 319

Calls

Call 1

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

Outputs
#<alt (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))>
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#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) v))>
#<alt #s(literal 1/2 binary32)>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 sinTheta_O (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)))))>
#<alt #s(literal 1/2 binary32)>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 sinTheta_i (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)))))>
#<alt (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)))))>
#<alt (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) v)>
#<alt (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 #s(literal 1/2 binary32) v)) v)>
#<alt #s(literal 1/2 binary32)>
#<alt #s(literal 1/2 binary32)>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))) v)))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))) v)>
#<alt (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v))) v))>
#<alt (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v))) v))) v))>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(cbrt (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))))
4.0ms	cosTheta_i	@	inf	(cbrt (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))))
2.0ms	cosTheta_O	@	0	(cbrt (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))))
2.0ms	cosTheta_O	@	inf	(cbrt (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))))
2.0ms	cosTheta_i	@	0	(cbrt (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))))

rewrite150.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`associate-r`
290×	`associate-l`
265×	`log1p-expm1-u`
265×	`add-cube-cbrt`
265×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	411
1	609	403

Stop Event

1×	node limit

Counts

14 → 427

Calls

Call 1

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

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

simplify309.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1012×	`times-frac`
876×	`fma-define`
712×	`*-commutative`
534×	`distribute-rgt-in`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1301	51539636132
1	3280	51539635408

Stop Event

1×	node limit

Counts

746 → 725

Calls

Call 1

Inputs
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_O v))))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_O v))) (.f32 cosTheta_i (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))
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(.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (sqrt.f32 v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v)) #s(literal 1 binary32)))

Outputs
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(fma.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (+.f32 (.f32 cosTheta_O (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))) (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (.f32 cosTheta_O (.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))
(fma.f32 cosTheta_O (.f32 #s(literal 1/3 binary32) (+.f32 (.f32 (+.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))))) (.f32 cosTheta_O (.f32 (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) #s(literal -1/3 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) (.f32 cosTheta_O (+.f32 (.f32 #s(literal 1/3 binary32) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_O (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (/.f32 (.f32 cosTheta_i (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (+.f32 (.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) cosTheta_O) (.f32 (+.f32 (.f32 (.f32 #s(literal 1/3 binary32) (.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))) (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) cosTheta_O) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 3 binary32))))) (+.f32 (.f32 #s(literal 1/27 binary32) (.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32)) #s(literal 1/9 binary32)) (.f32 cosTheta_i (/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))) (.f32 #s(literal -1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) cosTheta_O)) cosTheta_O)))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (.f32 #s(literal 1/3 binary32) (+.f32 (+.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))))) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))) (.f32 (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) #s(literal -1/3 binary32)))) (.f32 cosTheta_O (.f32 (+.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 3 binary32))))) (.f32 (.f32 #s(literal 1/27 binary32) (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32))))) (neg.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 4 binary32)) #s(literal 1/9 binary32))) (.f32 cosTheta_i (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))))))) (.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
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(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (cbrt.f32 v))
(.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal -1 binary32)))
(pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) #s(literal 3 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) #s(literal 2 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(pow.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (*.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v)) #s(literal 1 binary32)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)

eval230.0ms (2%)

Compiler: Compiled 16949 to 12070 computations (28.8% saved)

prune443.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	717	8	725
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	722	10	732

Accuracy

100.0%

Counts

732 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	(/.f32 (/.f32 (.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) sinTheta_O)) v) v)
	38.7%	(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)
▶	13.6%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
▶	23.0%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
✓	4.5%	(/.f32 #s(literal 1/2 binary32) v)
	13.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
	4.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))))
▶	38.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	99.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
▶	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v))))

Compiler

Compiled 265 to 202 computations (23.8% saved)

localize253.0ms (2.2%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
✓	47.9%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
✓	92.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	75.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	92.6%	(/.f32 (/.f32 (.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) sinTheta_O)) v) v)
✓	75.0%	(/.f32 (.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) sinTheta_O)) v)
✓	99.9%	(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
✓	99.5%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	92.6%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v))) v)
✓	100.0%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v)))
✓	99.9%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v))
✓	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))

Results

159.0ms

256×

valid

Compiler

Compiled 163 to 82 computations (49.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 35.0ms (41.4% of total)

ival-div: 25.0ms (29.6% of total)

ival-add: 5.0ms (5.9% of total)

ival-pow: 5.0ms (5.9% of total)

ival-sub: 4.0ms (4.7% of total)

ival-log: 4.0ms (4.7% of total)

const: 4.0ms (4.7% of total)

ival-exp: 3.0ms (3.6% of total)

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

series101.0ms (0.9%)

Counts

11 → 288

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
68.0ms	v	@	0	(- (+ 6931/10000 (/ -1 v)) (log v))
3.0ms	v	@	-inf	(- (+ 6931/10000 (/ -1 v)) (log v))
2.0ms	v	@	inf	(- (+ 6931/10000 (/ -1 v)) (log v))
2.0ms	sinTheta_i	@	-inf	(* (/ 1/2 v) (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1.0ms	sinTheta_i	@	0	(/ (* -1/2 (* sinTheta_i (/ sinTheta_O v))) v)

rewrite206.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`times-frac`
514×	`associate-r`
370×	`associate-l`
232×	`cbrt-prod`
231×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	319
1	583	307

Stop Event

1×	node limit

Counts

11 → 693

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v)))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 332956652491/1000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 332956652491/1000000000000 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 #s(literal -6931/10000 binary32) v)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #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 #s(literal -1 binary32) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 v))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))
(+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (fma.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32) (log.f32 v)))
(+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (cbrt.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 v)))
(+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 (neg.f32 (log.f32 v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) (log.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))))
(*.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))))
(.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))))))
(*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (sqrt.f32 (log.f32 v))) (-.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (sqrt.f32 (log.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))))) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))) (.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (-.f32 (.f32 (neg.f32 (log.f32 v)) (neg.f32 (log.f32 v))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))) (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v))))
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(.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 v #s(literal 4 binary32)))))
(.f32 (cbrt.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 v #s(literal 4 binary32)))) (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (/.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal -2 binary32))))
(.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)))
(.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (.f32 (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (/.f32 (sqrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) v))
(.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) v) (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32))))
(.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal -2 binary32))))
(.f32 (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (/.f32 sinTheta_O v) v))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32))))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (*.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
(.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (/.f32 sinTheta_i v))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) #s(literal -1/2 binary32))
(.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) v))
(.f32 (/.f32 sinTheta_i (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (cbrt.f32 v)))
(.f32 (/.f32 sinTheta_i (sqrt.f32 v)) (/.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (sqrt.f32 v)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) (cbrt.f32 v)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 v)) (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) (sqrt.f32 v)))
(.f32 (/.f32 sinTheta_i (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (cbrt.f32 v)))
(.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 v)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (sqrt.f32 v)))
(.f32 (/.f32 #s(literal -1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 1 binary32)) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 sinTheta_i (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/2 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (cbrt.f32 v)))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (cbrt.f32 v)))
(.f32 (/.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32))) v) (/.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
(.f32 (/.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32))) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(.f32 (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) #s(literal 1 binary32)) (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) #s(literal 1 binary32)) (/.f32 (/.f32 sinTheta_O v) v))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (cbrt.f32 (pow.f32 v #s(literal 4 binary32)))) (/.f32 sinTheta_O (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) (pow.f32 v #s(literal -2 binary32)))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) (sqrt.f32 v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 v)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) v))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (sqrt.f32 v)))
(.f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) v))
(.f32 (/.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (cbrt.f32 v)))
(.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 v)) (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (sqrt.f32 v)))
(.f32 (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (sqrt.f32 v)) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 v)))
(.f32 (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (/.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 #s(literal -1/2 binary32) (cbrt.f32 v)))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (/.f32 sinTheta_O v) (cbrt.f32 v)))
(.f32 (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (sqrt.f32 v)) (/.f32 (/.f32 sinTheta_O v) (sqrt.f32 v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(.f32 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (cbrt.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal 2 binary32))))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) sinTheta_i) (/.f32 sinTheta_O v))
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) sinTheta_O) (/.f32 sinTheta_i v))
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_O v)) sinTheta_i)
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) #s(literal 1 binary32)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (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 (.f32 (/.f32 #s(literal -1/2 binary32) v) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (sqrt.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))
(pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 2 binary32))
(pow.f32 (.f32 #s(literal -2 binary32) (/.f32 (pow.f32 v #s(literal 2 binary32)) (.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(neg.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))))
(neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (neg.f32 (pow.f32 v #s(literal 2 binary32)))))
(neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (pow.f32 v #s(literal 2 binary32))))
(sqrt.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 v #s(literal 4 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O)) sinTheta_i) (pow.f32 v #s(literal -2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))))))
(cbrt.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (pow.f32 v #s(literal 2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(exp.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32))
(pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32))
(sqrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(log.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O)) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))))
(cbrt.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(log1p.f32 (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(exp.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)))

simplify476.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1570×	`exp-prod`
1412×	`times-frac`
850×	`*-commutative`
712×	`associate-*r/`
592×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	888	35116
1	2164	34577
2	7246	34557

Stop Event

1×	node limit

Counts

981 → 560

Calls

Call 1

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

Outputs
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) #s(literal -1 binary32)) v)
#s(literal 6931/10000 binary32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal -1 binary32)) v)
(-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (log.f32 v))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v)))
(-.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v)))
(-.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v)))
(-.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 v))))
(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) v)))
(-.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32))))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))
(+.f32 (-.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 4 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32))))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v)))
(-.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v) #s(literal -1/2 binary32))) v)))
(-.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v) #s(literal -1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))))) v))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))) v))) v)))
(-.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (-.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) v)) v))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
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(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal -1/2 binary32) v))
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(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(log1p.f32 (expm1.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (log.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (.f32 (log.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 1 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))))
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(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 sinTheta_i (.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal -2 binary32))))
(.f32 sinTheta_i (.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 #s(literal -1/2 binary32) sinTheta_O)))
(.f32 sinTheta_i (.f32 (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(.f32 sinTheta_i (.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 #s(literal -1/2 binary32) sinTheta_O)))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) (pow.f32 v #s(literal -2 binary32)))
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(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32)))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1/2 binary32) (pow.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 #s(literal -1/2 binary32) (pow.f32 v #s(literal -2 binary32))))
(.f32 #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v #s(literal -2 binary32))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32)))))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))
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(.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (pow.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) #s(literal 2 binary32)) (.f32 (cbrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))) (cbrt.f32 (/.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 v #s(literal 4 binary32)))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (.f32 (sqrt.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (/.f32 sinTheta_O v) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32)))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
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(cbrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 v #s(literal 3 binary32))) (pow.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (pow.f32 v #s(literal 2 binary32)) #s(literal 3 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(expm1.f32 (log1p.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(exp.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (pow.f32 v #s(literal 2 binary32)))
(.f32 sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (pow.f32 v #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))))
(pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(pow.f32 (cbrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(pow.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(pow.f32 (sqrt.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))) #s(literal 2 binary32))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(sqrt.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(sqrt.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))))
(log.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O)) sinTheta_i))
(log.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(cbrt.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(cbrt.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32)))))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(expm1.f32 (log1p.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(exp.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))
(exp.f32 (.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))

eval146.0ms (1.3%)

Compiler: Compiled 9514 to 6126 computations (35.6% saved)

prune147.0ms (1.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	592	18	610
Fresh	1	2	3
Picked	2	3	5
Done	0	2	2
Total	595	25	620

Accuracy

100.0%

Counts

620 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.0%	(/.f32 (/.f32 (.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) sinTheta_O)) v) v)
	40.0%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_O)) v) v)
	40.0%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
	39.3%	(/.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) v)
	38.9%	(/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
	13.6%	(/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v)) v)
	21.7%	(/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	4.5%	(/.f32 #s(literal 1/2 binary32) v)
	20.2%	(.f32 (pow.f32 v #s(literal -2 binary32)) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)))
	9.8%	(.f32 (/.f32 sinTheta_i v) (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))
	13.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
	13.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))
	4.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))))
✓	38.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	9.6%	(.f32 (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_O v)) sinTheta_i)
	9.1%	(.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (pow.f32 v #s(literal 2 binary32)))) #s(literal -1/2 binary32))
	20.2%	(.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)))
	9.6%	(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (/.f32 sinTheta_O v) v))
	8.9%	(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (*.f32 sinTheta_O (pow.f32 v #s(literal -2 binary32))))
	9.1%	(.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 2 binary32))))
	9.6%	(.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) v))
	9.6%	(.f32 sinTheta_i (.f32 (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
✓	99.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 v)))))
✓	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 v))))

Compiler

Compiled 863 to 570 computations (34% saved)

regimes101.0ms (0.9%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

9 calls:

14.0ms	cosTheta_O
12.0ms	(+.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))))
12.0ms	v
12.0ms	sinTheta_O
11.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes82.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

9 calls:

11.0ms	cosTheta_O
11.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
10.0ms	cosTheta_i
10.0ms	v
10.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes58.0ms (0.5%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	sinTheta_O
9.0ms	v
9.0ms	sinTheta_i
9.0ms	cosTheta_i
8.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`
99.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes51.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

Outputs
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_O)) v) v)

Calls

6 calls:

9.0ms	v
9.0ms	cosTheta_O
9.0ms	sinTheta_i
8.0ms	cosTheta_i
8.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
40.0%	1	`cosTheta_i`
40.0%	1	`cosTheta_O`
40.0%	1	`sinTheta_i`
40.0%	1	`sinTheta_O`
40.0%	1	`v`
40.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes27.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	sinTheta_i
5.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
39.3%	1	`cosTheta_O`
39.3%	1	`v`
39.3%	1	`sinTheta_O`
39.3%	1	`sinTheta_i`
39.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
39.3%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes23.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
38.9%	1	`cosTheta_O`
38.9%	1	`v`
38.9%	1	`sinTheta_i`
38.9%	1	`cosTheta_i`
38.9%	1	`sinTheta_O`
38.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes19.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	cosTheta_i
3.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
38.7%	1	`cosTheta_O`
38.7%	1	`sinTheta_i`
38.7%	1	`cosTheta_i`
38.7%	1	`v`
38.7%	1	`sinTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes15.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.6%	1	`v`
13.6%	1	`cosTheta_O`
13.6%	1	`sinTheta_O`
13.6%	1	`sinTheta_i`
13.6%	1	`cosTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes15.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_i (/.f32 sinTheta_O v)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
13.3%	1	`sinTheta_O`
13.3%	1	`v`
13.3%	1	`cosTheta_i`
13.3%	1	`cosTheta_O`
13.3%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
9.6%	1	`cosTheta_O`
9.6%	1	`sinTheta_O`
9.6%	1	`v`
9.6%	1	`cosTheta_i`
9.6%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	v
2.0ms	cosTheta_O
2.0ms	sinTheta_i
2.0ms	sinTheta_O
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
9.6%	1	`cosTheta_i`
9.6%	1	`cosTheta_O`
9.6%	1	`sinTheta_O`
9.6%	1	`sinTheta_i`
9.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1/2 binary32) v)

Outputs
(/.f32 #s(literal 1/2 binary32) v)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
4.5%	1	`cosTheta_i`
4.5%	1	`cosTheta_O`
4.5%	1	`sinTheta_i`
4.5%	1	`sinTheta_O`
4.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
18×	`+-commutative`
16×	`sub-neg`
12×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	423
1	80	423
2	91	423
3	99	423
4	109	423
5	115	423
6	119	423
7	121	423
8	122	423

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (11.6%)

Rules

1590×	`exp-diff`
1588×	`fma-define`
1500×	`times-frac`
1120×	`fma-neg`
1012×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1451	44652
1	4032	41924
0	608	27399
1	1745	25269
2	6444	22002
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	1301	51539636132
1	3280	51539635408
0	36	319
1	583	307
0	38	411
1	609	403

Stop Event

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

Compiler

Compiled 1459 to 786 computations (46.1% saved)

preprocess82.0ms (0.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 762 to 596 computations (21.8% saved)

analyze752.0ms (6.6%)

sample3.0s (26.5%)

preprocess185.0ms (1.6%)

explain312.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize152.0ms (1.3%)

series78.0ms (0.7%)

rewrite310.0ms (2.7%)

simplify294.0ms (2.6%)

eval115.0ms (1%)

prune63.0ms (0.5%)

localize294.0ms (2.6%)

series82.0ms (0.7%)

rewrite208.0ms (1.8%)

simplify367.0ms (3.2%)

eval303.0ms (2.6%)

prune178.0ms (1.6%)

localize363.0ms (3.2%)

series68.0ms (0.6%)

rewrite150.0ms (1.3%)

simplify309.0ms (2.7%)

eval230.0ms (2%)

prune443.0ms (3.9%)

localize253.0ms (2.2%)

series101.0ms (0.9%)

rewrite206.0ms (1.8%)

simplify476.0ms (4.2%)

eval146.0ms (1.3%)

prune147.0ms (1.3%)

regimes101.0ms (0.9%)

regimes82.0ms (0.7%)

regimes58.0ms (0.5%)

regimes51.0ms (0.4%)

regimes27.0ms (0.2%)

regimes23.0ms (0.2%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

simplify13.0ms (0.1%)

soundness1.3s (11.6%)

preprocess82.0ms (0.7%)

end0.0ms (0%)

Profiling