Metrics for HairBSDF, Mp, lower

analyze1.1s (7.2%)

Algorithm

1×

Search

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

Compiler

Compiled 69 to 43 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 867.0ms

...c/correct-round.rkt:121:19: 579.0ms (66.8% of total)

ival-<=: 95.0ms (11% of total)

ival-mult: 44.0ms (5.1% of total)

ival-div: 37.0ms (4.3% of total)

ival-add: 31.0ms (3.6% of total)

ival-log: 24.0ms (2.8% of total)

ival-sub: 20.0ms (2.3% of total)

ival-and: 18.0ms (2.1% of total)

ival-exp: 15.0ms (1.7% of total)

const: 4.0ms (0.5% of total)

backward-pass: 1.0ms (0.1% of total)

sample3.6s (22.7%)

Results

2.8s	8256×	0	valid
34.0ms	116×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-div: 648.0ms (28% of total)

...c/correct-round.rkt:121:19: 536.0ms (23.2% of total)

ival-<=: 362.0ms (15.7% of total)

ival-mult: 259.0ms (11.2% of total)

ival-log: 136.0ms (5.9% of total)

ival-add: 104.0ms (4.5% of total)

ival-sub: 104.0ms (4.5% of total)

ival-and: 73.0ms (3.2% of total)

ival-exp: 71.0ms (3.1% of total)

const: 17.0ms (0.7% of total)

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

Bogosity

preprocess116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain249.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	3	(1.1608843278342903e-35 4.831775451891128e-29 3.281264394919205e-15 0.0002714048605412245 1.0222769115138559e-19)	32	(-2.4505287039194533e-20 6.312456335412386e-26 -5.4953857642422995e-33 3.3739365806016915e-37 1.1273645891974194e-16)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
85	5	(-1.3826333929877648e-37 -1.2680087480602748e-37 -4.541062218363561e-32 4.553793745658851e-25 9.160787579898244e-12)	32	(-0.29487353563308716 -1.0346843286039975e-17 -1.3476504136633594e-5 2.557963489209258e-36 6.016802562020472e-20)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	5	(-0.04257344454526901 3.974088278815153e-21 1.368097313453106e-30 3.3028608736884735e-9 0.005191801581531763)	1	(-9.452640993012104e-16 -1.5219449533226249e-28 -2.931858730892301e-22 1.6440067849004286e-31 0.02330016903579235)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`

Results

164.0ms

512×

valid

Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 16.0ms (24.9% of total)

ival-mult: 16.0ms (24.9% of total)

ival-log: 8.0ms (12.4% of total)

...c/correct-round.rkt:121:19: 8.0ms (12.4% of total)

ival-add: 7.0ms (10.9% of total)

ival-sub: 5.0ms (7.8% of total)

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

const: 1.0ms (1.6% of total)

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

eval3.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
▶	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))

Status

Accuracy

Program

▶

99.7%

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

▶

99.8%

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

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1460×	`fma-define`
1370×	`fma-neg`
1266×	`exp-sum`
702×	`sub-neg`
700×	`exp-diff`

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize116.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓	accuracy	99.8%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.8%	(exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	accuracy	99.8%	(+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	99.3%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Results

76.0ms

256×

valid

Compiler

Compiled 216 to 26 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 9.0ms (23.6% of total)

ival-add: 5.0ms (13.1% of total)

ival-mult: 5.0ms (13.1% of total)

ival-exp: 4.0ms (10.5% of total)

ival-log: 4.0ms (10.5% of total)

...c/correct-round.rkt:121:19: 4.0ms (10.5% of total)

ival-fma: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

const: 1.0ms (2.6% of total)

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

series120.0ms (0.8%)

Counts

11 → 432

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
8.0ms	sinTheta_i	@	0	(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)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms	v	@	-inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms	cosTheta_O	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms	cosTheta_O	@	-inf	(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))

rewrite396.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 398

Calls

Call 1

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

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

simplify593.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1407	65839
1	3931	62816

Stop Event

1×	node limit

Counts

830 → 832

Calls

Call 1

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

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

eval168.0ms (1.1%)

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

prune205.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	975	16	991
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	977	16	993

Accuracy

99.9%

Counts

993 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
▶	99.8%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.7%	(pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
	99.2%	(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
	99.8%	(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.8%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	13.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v) #s(literal 6931/10000 binary32))))
	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	4.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	99.8%	(exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
▶	77.5%	(exp.f32 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))

Compiler

Compiled 812 to 586 computations (27.8% saved)

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	3296	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	64	(*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i))
✓	cost-diff	64	(+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))
✓	cost-diff	192	(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
✓	cost-diff	192	(exp.f32 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))
✓	cost-diff	-3104	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
✓	cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	32	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))

Rules

1168×	`fma-neg`
882×	`exp-sum`
848×	`associate-*r/`
806×	`associate-*l/`
604×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	2339
1	132	2323
2	346	2305
3	1272	2277
4	5157	2277

Stop Event

1×	node limit

Calls

Call 1

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

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

localize279.0ms (1.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
✓	accuracy	98.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.8%	(exp.f32 (.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))
✓	accuracy	99.5%	(*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i))
✓	accuracy	96.2%	(.f32 cosTheta_i (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
✓	accuracy	93.0%	(/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))
✓	accuracy	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	accuracy	100.0%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.8%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	accuracy	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Results

140.0ms	199×	0	unsamplable
39.0ms	57×	0	valid

Compiler

Compiled 609 to 49 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-pow: 31.0ms (27.9% of total)

ival-div: 21.0ms (18.9% of total)

ival-mult: 20.0ms (18% of total)

...c/correct-round.rkt:121:19: 10.0ms (9% of total)

ival-exp: 9.0ms (8.1% of total)

ival-add: 7.0ms (6.3% of total)

ival-sub: 7.0ms (6.3% of total)

ival-log: 5.0ms (4.5% of total)

const: 1.0ms (0.9% of total)

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

series644.0ms (4.1%)

Counts

20 → 607

Calls

Call 1

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

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

Calls

183 calls:

Time	Variable		Point	Expression
236.0ms	cosTheta_O	@	inf	(+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
130.0ms	sinTheta_i	@	0	(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
81.0ms	cosTheta_i	@	0	(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
36.0ms	v	@	-inf	(+ 6931/10000 (log (/ 1/2 v)))
20.0ms	v	@	0	(+ 6931/10000 (log (/ 1/2 v)))

rewrite227.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log1p-expm1-u`
489×	`expm1-log1p-u`
476×	`add-exp-log`
474×	`add-log-exp`
464×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	891
1	1083	879

Stop Event

1×	node limit

Counts

20 → 379

Calls

Call 1

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

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

simplify669.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

946×	`distribute-lft-in`
932×	`distribute-rgt-in`
834×	`*-commutative`
800×	`times-frac`
504×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1589	79618
1	4295	78053

Stop Event

1×	node limit

Counts

986 → 863

Calls

Call 1

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

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

eval144.0ms (0.9%)

Compiler: Compiled 41671 to 5593 computations (86.6% saved)

prune262.0ms (1.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1186	12	1198
Fresh	4	7	11
Picked	4	1	5
Done	0	0	0
Total	1194	20	1214

Accuracy

100.0%

Counts

1214 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	98.7%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.7%	(pow.f32 (cbrt.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
▶	99.8%	(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
▶	83.6%	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))))
	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))))
	82.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O))) (+.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)))))))))
	99.8%	(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
	99.8%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (+.f32 (-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	4.7%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
	14.6%	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
	14.3%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
	77.5%	(exp.f32 (.f32 cosTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))))))
▶	14.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

Compiler

Compiled 943 to 686 computations (27.3% saved)

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
✓	cost-diff	0	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
✓	cost-diff	0	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
✓	cost-diff	0	(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	3200	(.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	3200	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	-3168	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	cost-diff	0	(-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
	cost-diff	0	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	0	(E.f32)
✓	cost-diff	0	(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))

Rules

1010×	`fma-define`
686×	`sub-neg`
656×	`fma-neg`
596×	`associate-/r*`
542×	`exp-sum`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	1527
1	115	1511
2	235	1511
3	644	1511
4	1942	1511
5	4743	1511
6	6432	1511

Stop Event

1×	node limit

Calls

Call 1

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

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

localize251.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	93.3%	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
✓	accuracy	91.2%	(E.f32)
✓	accuracy	89.7%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.8%	(exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
	accuracy	89.7%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
✓	accuracy	99.8%	(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	99.8%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	accuracy	79.3%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.8%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	accuracy	99.5%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	accuracy	99.8%	(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	accuracy	99.8%	(+.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	91.2%	(E.f32)
	accuracy	89.7%	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)

Results

163.0ms	232×	0	valid
12.0ms	24×	0	unsamplable

Compiler

Compiled 398 to 41 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-pow: 21.0ms (25.3% of total)

ival-div: 13.0ms (15.6% of total)

ival-mult: 13.0ms (15.6% of total)

ival-exp: 10.0ms (12% of total)

ival-add: 7.0ms (8.4% of total)

ival-sub: 7.0ms (8.4% of total)

ival-log: 4.0ms (4.8% of total)

...c/correct-round.rkt:121:19: 4.0ms (4.8% of total)

ival-e: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

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

series235.0ms (1.5%)

Counts

20 → 694

Calls

Call 1

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

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

Calls

213 calls:

Time	Variable		Point	Expression
29.0ms	cosTheta_O	@	inf	(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (pow (E) (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))))
17.0ms	sinTheta_O	@	inf	(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (pow (E) (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))))
16.0ms	v	@	-inf	(- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))
15.0ms	sinTheta_i	@	inf	(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (pow (E) (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))))
12.0ms	cosTheta_i	@	inf	(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (pow (E) (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))))

rewrite200.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

387×	`log1p-expm1-u`
387×	`expm1-log1p-u`
370×	`add-exp-log`
368×	`add-log-exp`
367×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	821
1	938	785

Stop Event

1×	node limit

Counts

20 → 521

Calls

Call 1

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

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

simplify882.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1226×	`*-commutative`
812×	`+-commutative`
494×	`associate-*r/`
420×	`fma-define`
398×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2097	86836
1	6238	81081

Stop Event

1×	node limit

Counts

1215 → 1058

Calls

Call 1

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

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

eval284.0ms (1.8%)

Compiler: Compiled 53401 to 6928 computations (87% saved)

prune404.0ms (2.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1564	15	1579
Fresh	7	7	14
Picked	4	1	5
Done	1	0	1
Total	1576	23	1599

Accuracy

100.0%

Counts

1599 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.9%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	98.7%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
▶	97.7%	(pow.f32 (E.f32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
▶	99.8%	(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.2%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))))
	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))))
	82.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O))) (+.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)))))))))
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶	32.2%	(.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	99.8%	(.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #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)))))
	99.8%	(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	99.8%	(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
▶	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) v))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	14.6%	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
	14.3%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	99.5%	(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	77.5%	(exp.f32 (.f32 cosTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))))))
✓	14.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 991 to 742 computations (25.1% saved)

simplify180.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))
✓	cost-diff	3392	(.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
✓	cost-diff	6464	(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	64	(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	64	(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	64	(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	64	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	-3136	(pow.f32 (E.f32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
	cost-diff	0	(E.f32)
✓	cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
	cost-diff	0	(E.f32)

Rules

2034×	`fma-neg`
650×	`distribute-rgt-in`
552×	`distribute-lft-in`
524×	`fma-define`
468×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	975
1	103	937
2	199	883
3	433	865
4	959	865
5	2214	865
6	4185	865
7	5826	865

Stop Event

1×	node limit

Calls

Call 1

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

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

localize241.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	accuracy	99.1%	(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))
	accuracy	78.0%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	38.5%	(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
✓	accuracy	100.0%	(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	99.8%	(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.8%	(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
	accuracy	100.0%	(E.f32)
✓	accuracy	100.0%	(/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 sinTheta_O sinTheta_i)) v)
✓	accuracy	99.8%	(pow.f32 (E.f32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.8%	(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓	accuracy	99.8%	(+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))

Results

182.0ms

256×

valid

Compiler

Compiled 280 to 39 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-pow: 39.0ms (30.6% of total)

ival-sub: 38.0ms (29.8% of total)

ival-div: 12.0ms (9.4% of total)

ival-mult: 9.0ms (7.1% of total)

...c/correct-round.rkt:121:19: 8.0ms (6.3% of total)

ival-add: 6.0ms (4.7% of total)

ival-log: 4.0ms (3.1% of total)

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

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

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

const: 1.0ms (0.8% of total)

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

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

series117.0ms (0.7%)

Counts

13 → 408

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
36.0ms	v	@	-inf	(pow (E) (+ (/ (neg (+ 1 (* sinTheta_O sinTheta_i))) v) (+ 6931/10000 (log (/ 1/2 v)))))
4.0ms	sinTheta_i	@	0	(pow (E) (/ (- (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O sinTheta_i)) v))
2.0ms	sinTheta_i	@	-inf	(* (/ 1/2 v) (pow (E) (- 6931/10000 (+ (* sinTheta_O (/ sinTheta_i v)) (/ 1 v)))))
2.0ms	v	@	-inf	(* (pow (pow (/ 1/2 v) 3) 1/3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
2.0ms	v	@	-inf	(pow (pow (/ 1/2 v) 3) 1/3)

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`log1p-expm1-u`
357×	`expm1-log1p-u`
332×	`add-exp-log`
330×	`pow1`
328×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	510
1	832	462

Stop Event

1×	node limit

Counts

13 → 258

Calls

Call 1

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

Outputs
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(.f32 #s(literal 1/3 binary32) (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O cosTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (.f32 (log.f32 (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(/.f32 (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.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 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32)))
(cbrt.f32 (.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 v #s(literal -3 binary32))) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))))
(cbrt.f32 (.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) (.f32 #s(literal 1/8 binary32) (pow.f32 v #s(literal -3 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (E.f32) (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (pow.f32 #s(literal 1 binary32) (-.f32 #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) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (cbrt.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (sqrt.f32 (E.f32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(sqrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (exp.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 #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) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.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) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
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(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
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(.f32 (sqrt.f32 (.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (E.f32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #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 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))
(+.f32 #s(literal 0 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #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 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.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 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (fma.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))))
(cbrt.f32 (/.f32 (pow.f32 (fma.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))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32)))

simplify321.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-l`
1420×	`fma-define`
746×	`*-commutative`
736×	`times-frac`
646×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1217	38439
1	3456	33913

Stop Event

1×	node limit

Counts

666 → 627

Calls

Call 1

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

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

eval101.0ms (0.6%)

Compiler: Compiled 24091 to 3829 computations (84.1% saved)

prune183.0ms (1.2%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	905	9	914
Fresh	5	12	17
Picked	3	2	5
Done	0	1	1
Total	913	24	937

Accuracy

100.0%

Counts

937 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	97.7%	(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	99.5%	(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.2%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (E.f32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))))
	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))))
	6.3%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	32.2%	(.f32 (pow.f32 (pow.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	31.9%	(*.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	32.2%	(.f32 (pow.f32 (pow.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	99.8%	(.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #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)))))
	99.8%	(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	32.2%	(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) v))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.8%	(*.f32 (expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
	99.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
	14.6%	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
	14.3%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	77.5%	(exp.f32 (.f32 cosTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))))))
✓	14.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1488 to 622 computations (58.2% saved)

regimes167.0ms (1.1%)

Counts

55 → 1

Calls

Call 1

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

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)))))

Calls

9 calls:

47.0ms	cosTheta_i
15.0ms	sinTheta_O
15.0ms	sinTheta_i
15.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
14.0ms	cosTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes73.0ms (0.5%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	sinTheta_O
11.0ms	cosTheta_O
9.0ms	sinTheta_i
9.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes59.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	sinTheta_O
9.0ms	cosTheta_i
9.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	cosTheta_O
7.0ms	sinTheta_i

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes51.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	cosTheta_i
8.0ms	v
6.0ms	sinTheta_i
6.0ms	sinTheta_O
6.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes51.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	sinTheta_O
6.0ms	cosTheta_i
6.0ms	sinTheta_i
6.0ms	cosTheta_O
6.0ms	v

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes29.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`cosTheta_i`
99.5%	1	`cosTheta_O`
99.5%	1	`sinTheta_i`
99.5%	1	`sinTheta_O`
99.5%	1	`v`
99.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes40.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	sinTheta_i
4.0ms	cosTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
99.5%	1	`cosTheta_i`
99.5%	1	`cosTheta_O`
99.5%	1	`sinTheta_i`
99.5%	1	`sinTheta_O`
99.5%	1	`v`
99.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes23.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`cosTheta_i`
97.7%	1	`cosTheta_O`
97.7%	1	`sinTheta_i`
97.7%	1	`sinTheta_O`
97.7%	1	`v`
97.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes21.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
18.7%	2	`sinTheta_O`
18.2%	2	`cosTheta_i`
19.0%	2	`cosTheta_O`
14.6%	1	`sinTheta_i`
14.6%	1	`v`
20.9%	2	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes19.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
14.3%	1	`v`
14.3%	1	`sinTheta_i`
14.3%	1	`cosTheta_i`
14.3%	1	`sinTheta_O`
14.3%	1	`cosTheta_O`
14.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes8.0ms (0%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.866362475191604e-44	-2.2420775429197073e-44

Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

72×	`unsub-neg`
54×	`neg-mul-1`
46×	`*-commutative`
46×	`+-commutative`
32×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	554
1	122	550
2	156	546
3	182	546
4	226	546
5	298	546
6	302	546

Stop Event

1×

saturated

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)))))
(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -9/178405961588244985132285746181186892047843328 binary32)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
#s(literal 1 binary32)

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 (-.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 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (+.f32 (+.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal 2 binary32))))))
(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(pow.f32 (E.f32) (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (E.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -9/178405961588244985132285746181186892047843328 binary32)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -9/178405961588244985132285746181186892047843328 binary32)) (exp.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
#s(literal 1 binary32)

soundness2.1s (13.4%)

Rules

1590×	`exp-diff`
1500×	`times-frac`
1460×	`associate-l`
1420×	`fma-define`
1226×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	1589	79618
1	4295	78053
0	57	891
1	1083	879
0	49	821
1	938	785
0	2097	86836
1	6238	81081
0	1217	38439
1	3456	33913
0	35	539
1	518	501
2	7461	501

Stop Event

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

Compiler

Compiled 1844 to 580 computations (68.5% saved)

preprocess298.0ms (1.9%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1434 to 962 computations (32.9% saved)

analyze1.1s (7.2%)

sample3.6s (22.7%)

preprocess116.0ms (0.7%)

explain249.0ms (1.6%)

eval3.0ms (0%)

prune2.0ms (0%)

simplify91.0ms (0.6%)

localize116.0ms (0.7%)

series120.0ms (0.8%)

rewrite396.0ms (2.5%)

simplify593.0ms (3.8%)

eval168.0ms (1.1%)

prune205.0ms (1.3%)

simplify129.0ms (0.8%)

localize279.0ms (1.8%)

series644.0ms (4.1%)

rewrite227.0ms (1.4%)

simplify669.0ms (4.3%)

eval144.0ms (0.9%)

prune262.0ms (1.7%)

simplify104.0ms (0.7%)

localize251.0ms (1.6%)

series235.0ms (1.5%)

rewrite200.0ms (1.3%)

simplify882.0ms (5.6%)

eval284.0ms (1.8%)

prune404.0ms (2.6%)

simplify180.0ms (1.1%)

localize241.0ms (1.5%)

series117.0ms (0.7%)

rewrite120.0ms (0.8%)

simplify321.0ms (2%)

eval101.0ms (0.6%)

prune183.0ms (1.2%)

regimes167.0ms (1.1%)

regimes73.0ms (0.5%)

regimes59.0ms (0.4%)

regimes51.0ms (0.3%)

regimes51.0ms (0.3%)

regimes29.0ms (0.2%)

regimes40.0ms (0.3%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes19.0ms (0.1%)

regimes8.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness2.1s (13.4%)

preprocess298.0ms (1.9%)

end0.0ms (0%)

Profiling