Metrics for HairBSDF, Mp, lower

analyze838.0ms (5.8%)

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
50%	0.7%	0.7%	97%	0%	1.5%	0%	11
50%	0.7%	0.7%	97%	0%	1.5%	0%	12

Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

Operation ival-<=, time spent: 102.0ms, 41.0% of total-time

Operation ival-mult, time spent: 36.0ms, 15.0% of total-time

Operation ival-add, time spent: 25.0ms, 10.0% of total-time

Operation ival-div, time spent: 20.0ms, 8.0% of total-time

Operation ival-sub, time spent: 20.0ms, 8.0% of total-time

Operation ival-log, time spent: 12.0ms, 5.0% of total-time

Operation ival-and, time spent: 12.0ms, 5.0% of total-time

Operation ival-exp, time spent: 10.0ms, 4.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

sample3.3s (23.3%)

Results

2.8s	8255×	valid
41.0ms	145×	invalid
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-<=, time spent: 341.0ms, 25.0% of total-time

Operation ival-div, time spent: 328.0ms, 24.0% of total-time

Operation ival-mult, time spent: 212.0ms, 15.0% of total-time

Operation ival-log, time spent: 138.0ms, 10.0% of total-time

Operation ival-add, time spent: 94.0ms, 7.0% of total-time

Operation ival-sub, time spent: 81.0ms, 6.0% of total-time

Operation ival-and, time spent: 73.0ms, 5.0% of total-time

Operation ival-exp, time spent: 60.0ms, 4.0% of total-time

Operation const, time spent: 57.0ms, 4.0% of total-time

Operation backward-pass, time spent: 5.0ms, 0.0% of total-time

Bogosity

preprocess591.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
93	6	(-1.6762840259677727e-16 1.632948071674729e-20 3.8986334862804747e-35 3.378924493317662e-19 3.3013181077734544e-9)	31	(-5.496462185676683e-14 7.235342186495686e-11 -1.1773588773052228e-25 1.226242397959999e-15 0.007207510061562061)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
87	1	(1.984772840600698e-31 2.299328625707451e-25 -1.4407745617967135e-15 4.2005005472654076e-22 4.497019076565856e-11)	32	(-4.904049125999874e-38 0.0014882467221468687 -1.2476143729234224e-10 8.605527892899506e-32 8.554590954883146e-14)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	0	-	1	(-6.970427424725033e-20 -7.727909629227694e-22 4.612855359056702e-36 1.1824332432297524e-5 1.8227141134820613e-22)	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	9	(-4.886458800938339e-21 -3.1640387696393735e-35 -1.047382243191423e-14 -2.3392520749338295e-26 0.003700405592098832)	0	-	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`
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	-	`#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))`

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))))))
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(.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)

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

Operation ival-div, time spent: 40.0ms, 31.0% of total-time

Operation ival-mult, time spent: 26.0ms, 20.0% of total-time

Operation ival-log, time spent: 25.0ms, 19.0% of total-time

Operation ival-add, time spent: 17.0ms, 13.0% of total-time

Operation ival-sub, time spent: 13.0ms, 10.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-exp, time spent: 4.0ms, 3.0% of total-time

eval2.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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

▶

99.8%

(*.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)

localize405.0ms (2.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	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))))
✓	99.9%	(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓	99.8%	(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)))
✓	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	99.9%	(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)))))
✓	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))))
✓	99.4%	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))

Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

Operation ival-div, time spent: 36.0ms, 28.0% of total-time

Operation composed, time spent: 20.0ms, 15.0% of total-time

Operation ival-add, time spent: 20.0ms, 15.0% of total-time

Operation ival-log, time spent: 17.0ms, 13.0% of total-time

Operation ival-mult, time spent: 17.0ms, 13.0% of total-time

Operation ival-sub, time spent: 11.0ms, 8.0% of total-time

Operation ival-exp, time spent: 6.0ms, 5.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series136.0ms (0.9%)

Counts

8 → 408

Calls

Call 1

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

102 calls:

Time	Variable		Point	Expression
42.0ms	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))))
6.0ms	cosTheta_i	@	0	(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v)))))
4.0ms	sinTheta_i	@	inf	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)
3.0ms	v	@	0	(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite410.0ms (2.9%)

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	465
1	518	432
2	7461	432

Stop Event

1×	node limit

Counts

8 → 268

Calls

Call 1

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

simplify421.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-r`
1292×	`fma-define`
744×	`times-frac`
710×	`distribute-rgt-in`
692×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1071	56980
1	3114	53700

Stop Event

1×	node limit

Counts

676 → 569

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

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

eval382.0ms (2.7%)

Compiler: Compiled 22875 to 12841 computations (43.9% saved)

prune118.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	588	10	598
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	590	10	600

Accuracy

99.9%

Counts

600 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(pow.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v))))))
	97.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))))
	4.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶	4.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶	98.9%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
▶	99.9%	(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)))
▶	12.0%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
	12.0%	(exp.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 402 to 302 computations (24.9% saved)

localize620.0ms (4.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(exp.f32 (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v)))))
✓	99.6%	(/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)
✓	99.4%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	52.8%	(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v))))
✓	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	100.0%	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
✓	99.8%	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
✓	99.8%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
✓	99.4%	(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
✓	98.9%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓	99.9%	(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
✓	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.8%	(-.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))
✓	77.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Compiler

Compiled 339 to 156 computations (54% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

Operation ival-div, time spent: 65.0ms, 35.0% of total-time

Operation ival-mult, time spent: 24.0ms, 13.0% of total-time

Operation ival-exp, time spent: 23.0ms, 12.0% of total-time

Operation ival-add, time spent: 22.0ms, 12.0% of total-time

Operation ival-sub, time spent: 20.0ms, 11.0% of total-time

Operation ival-log, time spent: 20.0ms, 11.0% of total-time

Operation const, time spent: 6.0ms, 3.0% of total-time

Operation ival-neg, time spent: 3.0ms, 2.0% of total-time

series96.0ms (0.7%)

Counts

15 → 486

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
10.0ms	cosTheta_i	@	-inf	(* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (* cosTheta_O (/ cosTheta_i v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))))
3.0ms	cosTheta_O	@	inf	(* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (* cosTheta_O (/ cosTheta_i v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))))
3.0ms	v	@	inf	(/ (+ 6931/10000 (- (* cosTheta_O (/ cosTheta_i v)) (/ 1 v))) sinTheta_O)
3.0ms	sinTheta_O	@	-inf	(exp (* (/ sinTheta_O v) (neg sinTheta_i)))
2.0ms	cosTheta_O	@	-inf	(exp (* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (* cosTheta_O (/ cosTheta_i v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))))

rewrite151.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`log1p-expm1-u`
390×	`expm1-log1p-u`
385×	`add-exp-log`
384×	`add-log-exp`
383×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	608
1	865	596

Stop Event

1×	node limit

Counts

15 → 306

Calls

Call 1

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

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

simplify412.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1544×	`fma-define`
1398×	`associate-r`
668×	`distribute-lft-in`
660×	`distribute-rgt-in`
604×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1198	44339
1	3172	42590

Stop Event

1×	node limit

Counts

792 → 694

Calls

Call 1

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

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

eval642.0ms (4.5%)

Compiler: Compiled 18548 to 10843 computations (41.5% saved)

prune146.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	697	10	707
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	704	13	717

Accuracy

99.9%

Counts

717 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 sinTheta_O (neg.f32 (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O))) sinTheta_i) v)))))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))))))
▶	98.9%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
	14.6%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	99.9%	(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)))
▶	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	12.0%	(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
▶	14.6%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	6.3%	#s(literal 1 binary32)

Compiler

Compiled 436 to 326 computations (25.2% saved)

localize419.0ms (2.9%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.8%	(-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)))
✓	99.6%	(/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)
✓	98.7%	(/.f32 #s(literal 6931/10000 binary32) sinTheta_O)
✓	52.8%	(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))))
✓	100.0%	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	99.8%	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓	99.8%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	99.4%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	99.9%	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	99.8%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))

Compiler

Compiled 188 to 106 computations (43.6% saved)

Precisions

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

Operation ival-div, time spent: 58.0ms, 46.0% of total-time

Operation ival-log, time spent: 18.0ms, 14.0% of total-time

Operation ival-sub, time spent: 13.0ms, 10.0% of total-time

Operation ival-add, time spent: 11.0ms, 9.0% of total-time

Operation ival-mult, time spent: 11.0ms, 9.0% of total-time

Operation ival-exp, time spent: 10.0ms, 8.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series96.0ms (0.7%)

Counts

11 → 216

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
35.0ms	v	@	-inf	(+ 6931/10000 (log (/ 1/2 v)))
20.0ms	v	@	0	(+ 6931/10000 (log (/ 1/2 v)))
5.0ms	v	@	inf	(+ 6931/10000 (log (/ 1/2 v)))
3.0ms	v	@	inf	(/ (- (* cosTheta_O cosTheta_i) 1) v)
1.0ms	sinTheta_O	@	-inf	(* sinTheta_O (- (/ 6931/10000 sinTheta_O) (+ (/ sinTheta_i v) (/ (/ 1 sinTheta_O) v))))

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`frac-times`
278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
275×	`add-exp-log`
274×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	328
1	611	328

Stop Event

1×	node limit

Counts

11 → 326

Calls

Call 1

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

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

simplify269.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-define`
826×	`associate-r`
710×	`associate-l`
520×	`distribute-rgt-in`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1082	26747
1	2837	24099

Stop Event

1×	node limit

Counts

542 → 627

Calls

Call 1

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

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

eval332.0ms (2.3%)

Compiler: Compiled 14748 to 9973 computations (32.4% saved)

prune135.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	637	5	642
Fresh	3	3	6
Picked	3	2	5
Done	1	1	2
Total	644	11	655

Accuracy

99.9%

Counts

655 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶	6.1%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (.f32 sinTheta_O (neg.f32 (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))))
	99.8%	(*.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_O (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))) v))))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_O (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O))))
▶	98.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	99.9%	(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)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	6.3%	#s(literal 1 binary32)

Compiler

Compiled 346 to 265 computations (23.4% saved)

localize675.0ms (4.7%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	99.9%	(pow.f32 (E.f32) (*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v))))
✓	99.6%	(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O)
✓	52.8%	(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)))
✓	99.9%	(exp.f32 (.f32 sinTheta_O (/.f32 (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))) v)))
✓	99.7%	(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))) v)
✓	98.6%	(*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O))
✓	52.8%	(.f32 sinTheta_O (/.f32 (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))) v))
✓	99.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	99.9%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	77.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	99.9%	(exp.f32 (*.f32 sinTheta_O (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
✓	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓	99.6%	(/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)
✓	52.9%	(*.f32 sinTheta_O (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O))

Compiler

Compiled 303 to 170 computations (43.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

Operation ival-div, time spent: 87.0ms, 33.0% of total-time

Operation ival-mult, time spent: 49.0ms, 19.0% of total-time

Operation composed, time spent: 31.0ms, 12.0% of total-time

Operation ival-add, time spent: 31.0ms, 12.0% of total-time

Operation ival-pow, time spent: 26.0ms, 10.0% of total-time

Operation ival-sub, time spent: 19.0ms, 7.0% of total-time

Operation ival-exp, time spent: 9.0ms, 3.0% of total-time

Operation const, time spent: 7.0ms, 3.0% of total-time

Operation ival-e, time spent: 4.0ms, 2.0% of total-time

series212.0ms (1.5%)

Counts

14 → 410

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
135.0ms	cosTheta_i	@	-inf	(+ 1 (/ (* cosTheta_O cosTheta_i) v))
2.0ms	v	@	0	(/ (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)) sinTheta_O)
2.0ms	sinTheta_i	@	0	(exp (* sinTheta_O (/ (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))) v)))
2.0ms	sinTheta_i	@	0	(pow (E) (* sinTheta_O (- (/ (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)) sinTheta_O) (/ sinTheta_i v))))
2.0ms	sinTheta_O	@	0	(pow (E) (* sinTheta_O (- (/ (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)) sinTheta_O) (/ sinTheta_i v))))

rewrite137.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
359×	`add-exp-log`
359×	`add-log-exp`
356×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	561
1	782	553

Stop Event

1×	node limit

Counts

14 → 261

Calls

Call 1

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

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

simplify334.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
1072×	`associate-l`
894×	`fma-define`
568×	`*-commutative`
548×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1084	36440
1	2789	32559

Stop Event

1×	node limit

Counts

671 → 624

Calls

Call 1

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

Outputs
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
#s(literal 6931/10000 binary32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) (*.f32 sinTheta_O v))
(/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O))
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) (*.f32 v sinTheta_O))
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) (*.f32 v sinTheta_O))
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) (*.f32 v sinTheta_O))
(/.f32 #s(literal 6931/10000 binary32) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(/.f32 #s(literal 6931/10000 binary32) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
#s(literal 6931/10000 binary32)
#s(literal 6931/10000 binary32)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal -1/2 binary32))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))) v))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)) v)) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(*.f32 cosTheta_O (neg.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) cosTheta_O))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(*.f32 cosTheta_O (neg.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) cosTheta_O))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))))
(*.f32 cosTheta_O (neg.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) cosTheta_O))))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))))
(.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))))
(.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O))))))
(.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)) (neg.f32 cosTheta_O))
(.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.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 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))))
(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_i))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))))
(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_i))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_i (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v)))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_i))))))
(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) v)) cosTheta_i))))
(/.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)))) v)
(.f32 sinTheta_O (/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)) v))
(*.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v))
(/.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 sinTheta_O (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))) v)
(/.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 sinTheta_O (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))) v)
(/.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) v) (.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O))))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 sinTheta_O (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)))) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 sinTheta_O (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))) v)
#s(literal 6931/10000 binary32)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)))) v))
(+.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)) v)))
(fma.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)))) v))
(+.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)) v)))
(fma.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)))) v))
(+.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O (/.f32 (-.f32 (.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)) v)))
(fma.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (neg.f32 (.f32 sinTheta_O (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) v))))
(-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (neg.f32 (.f32 sinTheta_O (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) v))))
(-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (neg.f32 (.f32 sinTheta_O (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) v))))
(-.f32 #s(literal 6931/10000 binary32) (*.f32 sinTheta_O (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i) v)))
(.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 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.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 #s(literal 1 binary32) (*.f32 sinTheta_O v)))))
(.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i (neg.f32 v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O)))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(+.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.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 #s(literal 1 binary32) (*.f32 sinTheta_O v)))))
(.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i (neg.f32 v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O)))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
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(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
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(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
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(/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)
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(-.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 #s(literal 1 binary32) (.f32 sinTheta_O v)))
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(-.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 #s(literal 1 binary32) (.f32 sinTheta_O v)))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 sinTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (-.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 sinTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (-.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 sinTheta_O v)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (-.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) (.f32 v sinTheta_O)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)))
(.f32 #s(literal -1 binary32) (.f32 cosTheta_O (+.f32 (.f32 #s(literal -1 binary32) (/.f32 cosTheta_i (.f32 sinTheta_O v))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) cosTheta_O)))))
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(.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 (.f32 v sinTheta_O))) (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_O))))
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(.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 (.f32 v sinTheta_O))) (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_O))))
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(/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) 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 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 v 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 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 v 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 #s(literal 1 binary32) (.f32 sinTheta_O v)))
(+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 v sinTheta_O)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i sinTheta_O)) (/.f32 cosTheta_O (.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O v)))))
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(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_i)) (+.f32 (/.f32 cosTheta_O (.f32 v sinTheta_O)) (/.f32 #s(literal -1 binary32) (.f32 (*.f32 v sinTheta_O) cosTheta_i)))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 cosTheta_i sinTheta_O)) (/.f32 cosTheta_O (.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O v)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_i)) (-.f32 (/.f32 cosTheta_O (.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v sinTheta_O) cosTheta_i)))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) (.f32 sinTheta_O cosTheta_i)) (+.f32 (/.f32 cosTheta_O (.f32 v sinTheta_O)) (/.f32 #s(literal -1 binary32) (.f32 (*.f32 v sinTheta_O) cosTheta_i)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)))
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(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 (.f32 v sinTheta_O))) (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_i))))
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(neg.f32 (.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O (.f32 v sinTheta_O)) (neg.f32 (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_i)))))
(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 (.f32 v sinTheta_O))) (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_i))))
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(neg.f32 (.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O (.f32 v sinTheta_O)) (neg.f32 (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_i)))))
(.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 (.f32 v sinTheta_O))) (/.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) cosTheta_i))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 sinTheta_O v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 v sinTheta_O))
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) v)
(/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)) v)
(/.f32 (-.f32 (+.f32 (.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) v)
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(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 sinTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
(pow.f32 (exp.f32 sinTheta_O) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 (+.f32 #s(literal 16931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal -6931/10000 binary32)))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 (+.f32 #s(literal 16931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))

eval322.0ms (2.2%)

Compiler: Compiled 17277 to 10788 computations (37.6% saved)

prune224.0ms (1.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	647	10	657
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	650	18	668

Accuracy

99.9%

Counts

668 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
	6.1%	(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
	34.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	6.2%	(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓	6.1%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (.f32 sinTheta_O (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)) v))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (.f32 sinTheta_O (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O))))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O))) v)))
	99.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	99.8%	(*.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (.f32 sinTheta_O (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O))))
	6.1%	(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
	17.3%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
	6.1%	(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
✓	98.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	99.9%	(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)))
✓	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓	6.3%	#s(literal 1 binary32)

Compiler

Compiled 775 to 505 computations (34.8% saved)

regimes205.0ms (1.4%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(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)))

Calls

9 calls:

56.0ms	v
23.0ms	(*.f32 sinTheta_i sinTheta_O)
22.0ms	cosTheta_i
21.0ms	sinTheta_i
21.0ms	cosTheta_O

Results

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

Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes92.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	sinTheta_i
18.0ms	cosTheta_O
17.0ms	cosTheta_i
17.0ms	v
17.0ms	sinTheta_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`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes132.0ms (0.9%)

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

62.0ms	sinTheta_O
18.0ms	cosTheta_O
17.0ms	cosTheta_i
17.0ms	sinTheta_i
16.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes75.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	sinTheta_i
15.0ms	v
15.0ms	cosTheta_O
14.0ms	cosTheta_i
14.0ms	sinTheta_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`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes57.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

5 calls:

11.0ms	sinTheta_O
11.0ms	cosTheta_O
11.0ms	sinTheta_i
11.0ms	v
11.0ms	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`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes60.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	v
10.0ms	sinTheta_i
10.0ms	sinTheta_O
10.0ms	cosTheta_i
10.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes94.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	sinTheta_O
10.0ms	cosTheta_O
10.0ms	v
9.0ms	cosTheta_i
9.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes29.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes26.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.5%	1	`cosTheta_i`
34.5%	1	`cosTheta_O`
34.5%	1	`sinTheta_i`
34.5%	1	`sinTheta_O`
34.5%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes15.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	sinTheta_i
2.0ms	v
2.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
17.3%	1	`sinTheta_O`
17.3%	1	`cosTheta_O`
17.3%	1	`sinTheta_i`
17.3%	1	`cosTheta_i`
17.3%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.3%	1	`cosTheta_O`
6.3%	1	`cosTheta_i`
6.3%	1	`sinTheta_i`
6.3%	1	`sinTheta_O`
6.3%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
28×	`+-commutative`
22×	`sub-neg`
14×	`neg-sub0`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	383
1	78	383
2	94	383
3	111	383
4	127	383
5	132	383
6	133	383

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 156 to 126 computations (19.2% saved)

soundness1.4s (9.9%)

Rules

1590×	`exp-diff`
1544×	`fma-define`
1500×	`times-frac`
1482×	`associate-r`
1398×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1198	44339
1	3172	42590
0	1082	26747
1	2837	24099
0	173	2130
1	485	1898
2	1448	1854
3	5747	1854
0	45	561
1	782	553
0	1084	36440
1	2789	32559
0	1071	56980
1	3114	53700

Stop Event

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

Compiler

Compiled 1091 to 652 computations (40.2% saved)

end0.0ms (0%)

preprocess122.0ms (0.8%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1328 to 1006 computations (24.2% saved)

analyze838.0ms (5.8%)

sample3.3s (23.3%)

preprocess591.0ms (4.1%)

eval2.0ms (0%)

prune2.0ms (0%)

localize405.0ms (2.8%)

series136.0ms (0.9%)

rewrite410.0ms (2.9%)

simplify421.0ms (2.9%)

eval382.0ms (2.7%)

prune118.0ms (0.8%)

localize620.0ms (4.3%)

series96.0ms (0.7%)

rewrite151.0ms (1.1%)

simplify412.0ms (2.9%)

eval642.0ms (4.5%)

prune146.0ms (1%)

localize419.0ms (2.9%)

series96.0ms (0.7%)

rewrite124.0ms (0.9%)

simplify269.0ms (1.9%)

eval332.0ms (2.3%)

prune135.0ms (0.9%)

localize675.0ms (4.7%)

series212.0ms (1.5%)

rewrite137.0ms (1%)

simplify334.0ms (2.3%)

eval322.0ms (2.2%)

prune224.0ms (1.6%)

regimes205.0ms (1.4%)

regimes92.0ms (0.6%)

regimes132.0ms (0.9%)

regimes75.0ms (0.5%)

regimes57.0ms (0.4%)

regimes60.0ms (0.4%)

regimes94.0ms (0.7%)

regimes29.0ms (0.2%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

simplify13.0ms (0.1%)

soundness1.4s (9.9%)

end0.0ms (0%)

preprocess122.0ms (0.8%)

Profiling