Metrics for HairBSDF, Mp, lower

analyze686.0ms (5%)

Memory

-7.7MiB live, 789.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.7s (19.7%)

Memory

-62.7MiB live, 5 084.6MiB allocated

Samples

2.1s	8 256×	0	valid
30.0ms	141×	0	invalid

Precisions

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

const: 368.0ms (20.6% of total)

ival-sub: 320.0ms (17.9% of total)

ival-div: 299.0ms (16.7% of total)

ival-<=: 237.0ms (13.2% of total)

ival-mult: 205.0ms (11.5% of total)

ival-log: 146.0ms (8.2% of total)

ival-add: 82.0ms (4.6% of total)

ival-exp: 62.0ms (3.5% of total)

ival-and: 51.0ms (2.9% of total)

exact: 17.0ms (1% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess283.0ms (2.1%)

Memory

10.8MiB live, 479.1MiB allocated

Algorithm

2×	egg-herbie

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	504
1	473	469
2	1379	462
3	5000	462
0	21	23
1	50	22
2	137	22
3	456	22
4	1702	22
5	5011	22
0	8123	19

Stop Event

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

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

Outputs

(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

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

Call 2

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))

Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ -1/2 v))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_O (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_i (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_O (/ sinTheta_O v)) (+ (* cosTheta_i (/ sinTheta_i v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(* (exp (+ (- (* cosTheta_O (/ v cosTheta_i)) (* sinTheta_i (/ sinTheta_O cosTheta_i))) (+ 6931/10000 (/ -1 cosTheta_i)))) (/ 1/2 cosTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_i (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_O (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (+ 6931/10000 (* cosTheta_i (/ sinTheta_O v))) (- (/ -1 v) (* cosTheta_O (/ sinTheta_i v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (exp (+ (* cosTheta_i (/ v cosTheta_O)) (+ (- (/ -1 cosTheta_O) (* sinTheta_i (/ sinTheta_O cosTheta_O))) 6931/10000))) (/ 1/2 cosTheta_O))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(* (exp (- (* cosTheta_O (/ cosTheta_i sinTheta_i)) (+ (* v (/ sinTheta_O sinTheta_i)) (+ (/ 1 sinTheta_i) -6931/10000)))) (/ 1/2 sinTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
(* (exp (+ (- (* cosTheta_O (/ cosTheta_i sinTheta_O)) (* v (/ sinTheta_i sinTheta_O))) (+ 6931/10000 (/ -1 sinTheta_O)))) (/ 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain247.0ms (1.8%)

Memory

32.4MiB live, 347.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
97	4	(-2.859144387912238e-6 1.7804441800723387e-36 -1.9293462362674277e-16 1.807615828131881e-37 3.659952696466462e-8)	35	(-3.858438362650679e-13 -4.696285068185417e-14 -2.7374380183681814e-18 9.76628291563231e-23 0.000219028937863186)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
88	3	(-1.6870096831475772e-30 -2.5895179504496997e-36 -1.0693069693590296e-12 -3.9088427391509214e-29 1.5810928339710865e-21)	25	(3.1792182477367257e-22 2.2583702855381234e-21 -4.576954854707065e-34 -6.97653673072105e-36 2.703716563701164e-5)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	5	(-6.874012371447592e-32 2.333972684955396e-25 -3.4212996524729533e-6 -2.409730251735004e-24 0.0021885810419917107)	1	(-8.769655850822686e-33 0.001142083085142076 -5.085787070343087e-14 1.8707082365743067e-28 0.013732763938605785)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	11	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	88
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	5	7

Confusion

	Predicted +	Predicted -
+	0	3
-	25	228

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	1
-	25	5	223

Precision?

0.0625

Recall?

0.6666666666666666

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 14.0ms (23.9% of total)

const: 11.0ms (18.8% of total)

ival-mult: 9.0ms (15.4% of total)

ival-add: 7.0ms (12% of total)

ival-sub: 7.0ms (12% of total)

ival-log: 6.0ms (10.3% of total)

ival-exp: 4.0ms (6.8% of total)

exact: 1.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.6%

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

Compiler

Compiled 30 to 21 computations (30% saved)

simplify234.0ms (1.7%)

Memory

3.1MiB live, 315.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	2944	(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)))))

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	50	124
2	137	124
3	456	124
4	1702	124
5	5011	124
0	8123	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
1
6931/10000
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(* 2 v)
2

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

localize83.0ms (0.6%)

Memory

-38.4MiB live, 104.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓	accuracy	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	76.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	75.9%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

60.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 7.0ms (28.4% of total)

ival-mult: 4.0ms (16.2% of total)

const: 4.0ms (16.2% of total)

ival-log: 3.0ms (12.2% of total)

ival-exp: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

ival-sub: 2.0ms (8.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series102.0ms (0.7%)

Memory

5.4MiB live, 163.9MiB allocated

Counts

7 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
30.0ms	v	@	0	(log (/ 1 (* 2 v)))
24.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
8.0ms	cosTheta_O	@	-inf	(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
5.0ms	cosTheta_O	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite438.0ms (3.2%)

Memory

17.3MiB live, 648.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`accelerator-lowering-fma.f32`
9 370×	`accelerator-lowering-fma.f64`
4 860×	`/-lowering-/.f32`
4 860×	`/-lowering-/.f64`
3 374×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	134	64
2	1494	64
0	8235	64

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 509

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(/ 1 (* 2 v))
(log (/ 1 (* 2 v)))
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

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

simplify426.0ms (3.1%)

Memory

12.0MiB live, 641.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
5 966×	`-lowering-.f32`
5 966×	`-lowering-.f64`
5 234×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))

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

eval82.0ms (0.6%)

Memory: -1.8MiB live, 188.9MiB allocated
Compiler: Compiled 28 071 to 2 561 computations (90.9% saved)

prune101.0ms (0.7%)

Memory

21.4MiB live, 217.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	773	12	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	774	12	786

Accuracy

99.8%

Counts

786 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
	99.6%	(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (.f32 v #s(literal 2 binary32)))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
▶	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	4.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
	58.5%	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
▶	99.6%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
▶	16.1%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	10.9%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 620 to 390 computations (37.1% saved)

simplify471.0ms (3.4%)

Memory

-5.7MiB live, 554.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	cost-diff	64	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	2944	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	cost-diff	64	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	96	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	160	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	64	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓	cost-diff	3264	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))

Rules

9 322×	`accelerator-lowering-fma.f32`
9 322×	`accelerator-lowering-fma.f64`
3 526×	`-lowering-.f32`
3 526×	`-lowering-.f64`
2 216×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	255
1	88	249
2	184	240
3	348	240
4	663	240
5	1340	240
6	1986	240
7	3211	240
8	6153	240
0	8112	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
v
2
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
(exp (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
cosTheta_i
(/ cosTheta_O v)
cosTheta_O
v
(* (exp 6931/10000) (* 1/2 (/ 1 v)))
(exp 6931/10000)
6931/10000
(* 1/2 (/ 1 v))
1/2
(/ 1 v)
1
v
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
6931/10000
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(/ -1 v)
-1
(exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
6931/10000
(+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(log (/ 1/2 v))
(/ 1/2 v)
1/2
v
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1

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

localize220.0ms (1.6%)

Memory

-54.5MiB live, 186.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.9%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_O v)
✓	accuracy	99.9%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.9%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v))
✓	accuracy	98.9%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))

Samples

110.0ms

256×

valid

Compiler

Compiled 246 to 44 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 32.0ms (35.6% of total)

const: 21.0ms (23.4% of total)

ival-mult: 14.0ms (15.6% of total)

ival-exp: 10.0ms (11.1% of total)

ival-add: 8.0ms (8.9% of total)

ival-log: 3.0ms (3.3% of total)

ival-neg: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory

-2.5MiB live, 73.9MiB allocated

Counts

21 → 636

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v)>
#<alt (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))) v)>
#<alt (/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (- (* -1 (* sinTheta_O sinTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))>
#<alt (- (* -1 (* sinTheta_O sinTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))>
#<alt (+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))>
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#<alt (* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>

Calls

159 calls:

Time	Variable		Point	Expression
22.0ms	sinTheta_i	@	-inf	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
4.0ms	cosTheta_O	@	-inf	(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
2.0ms	cosTheta_i	@	0	(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
2.0ms	cosTheta_O	@	inf	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
1.0ms	sinTheta_O	@	0	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))

rewrite574.0ms (4.2%)

Memory

31.3MiB live, 582.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 048×	`accelerator-lowering-fma.f32`
5 048×	`accelerator-lowering-fma.f64`
4 244×	`-lowering-.f32`
4 244×	`-lowering-.f64`
4 168×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	181
1	218	172
2	1695	171
0	8396	161

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 801

Calls

Call 1

Inputs
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
(exp (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
(/ cosTheta_O v)
(* 1/2 (/ 1 v))
(* (exp 6931/10000) (* 1/2 (/ 1 v)))
(/ 1 v)
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
(exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
(log (/ 1/2 v))
(+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))

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

simplify638.0ms (4.7%)

Memory

-21.6MiB live, 652.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 318×	`accelerator-lowering-fma.f32`
8 318×	`accelerator-lowering-fma.f64`
8 194×	`-lowering-.f32`
8 194×	`-lowering-.f64`
3 670×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	805	9033
1	2533	8592
0	8316	8135

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))
(+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))
(+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ -1 v)
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(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(- 6931/10000 (/ 1 v))
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(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
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(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
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(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))

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

eval172.0ms (1.3%)

Memory: 28.0MiB live, 291.0MiB allocated
Compiler: Compiled 35 710 to 3 795 computations (89.4% saved)

prune184.0ms (1.3%)

Memory

-19.8MiB live, 391.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 460	15	1 475
Fresh	4	3	7
Picked	4	1	5
Done	0	0	0
Total	1 468	19	1 487

Accuracy

99.9%

Counts

1 487 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.6%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
	99.6%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
▶	99.7%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
▶	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
▶	58.5%	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
	99.6%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	96.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	16.1%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	6.4%	#s(literal 1 binary32)

Compiler

Compiled 809 to 588 computations (27.3% saved)

simplify243.0ms (1.8%)

Memory

26.4MiB live, 373.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	160	(-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O)))
✓	cost-diff	224	(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (*.f32 v v)))
✓	cost-diff	640	(/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (*.f32 v v)))
✓	cost-diff	2944	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
✓	cost-diff	3264	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	cost-diff	0	(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))
✓	cost-diff	64	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))
✓	cost-diff	3264	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))

Rules

8 420×	`accelerator-lowering-fma.f32`
8 420×	`accelerator-lowering-fma.f64`
3 116×	`-lowering-.f32`
3 116×	`-lowering-.f64`
1 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	340
1	120	318
2	286	316
3	807	308
4	2346	304
5	5496	304
0	8222	290

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 (* (* v 2) (exp -6931/10000))) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(/ 1 (* (* v 2) (exp -6931/10000)))
1
(* (* v 2) (exp -6931/10000))
(* v 2)
v
2
(exp -6931/10000)
-6931/10000
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
1
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(* (* (/ 1/2 v) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v))) (exp 6931/10000))
(* (/ 1/2 v) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)))
(/ 1/2 v)
1/2
v
(exp (/ (+ (* cosTheta_i cosTheta_O) -1) v))
(/ (+ (* cosTheta_i cosTheta_O) -1) v)
(+ (* cosTheta_i cosTheta_O) -1)
cosTheta_i
cosTheta_O
-1
(exp 6931/10000)
6931/10000
(exp (+ (+ (/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v))) 6931/10000) (log (/ 1 (* 2 v)))))
(+ (+ (/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v))) 6931/10000) (log (/ 1 (* 2 v))))
(+ (/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v))) 6931/10000)
(/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v)))
(+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v)))
(- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O)))
(* (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(* v (* sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg (* v v))
(* v v)
(* v (* v v))
6931/10000
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
1
(* 2 v)
2

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

localize207.0ms (1.5%)

Memory

6.7MiB live, 217.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f32 v (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.7%	(.f32 v (.f32 v v))
✓	accuracy	99.7%	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
✓	accuracy	36.0%	(/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (*.f32 v v)))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
✓	accuracy	99.9%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	99.6%	(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.6%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v))
✓	accuracy	99.3%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))
✓	accuracy	99.0%	(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))

Samples

148.0ms

256×

valid

Compiler

Compiled 372 to 52 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 69.0ms (57.4% of total)

ival-div: 14.0ms (11.6% of total)

ival-exp: 12.0ms (10% of total)

ival-add: 11.0ms (9.1% of total)

const: 7.0ms (5.8% of total)

ival-log: 3.0ms (2.5% of total)

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

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

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series104.0ms (0.8%)

Memory

-11.8MiB live, 140.7MiB allocated

Counts

21 → 732

Calls

Call 1

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

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

Calls

183 calls:

Time	Variable		Point	Expression
19.0ms	v	@	-inf	(* (/ 1 (* (* v 2) (exp -6931/10000))) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
9.0ms	v	@	0	(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
7.0ms	v	@	inf	(* (/ 1 (* (* v 2) (exp -6931/10000))) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
4.0ms	v	@	inf	(/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v)))
1.0ms	v	@	-inf	(/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v)))

rewrite355.0ms (2.6%)

Memory

4.4MiB live, 676.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 972×	`-lowering-.f32`
4 972×	`-lowering-.f64`
4 300×	`/-lowering-/.f32`
4 300×	`/-lowering-/.f64`
2 760×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	218
1	259	198
2	2090	197
0	8452	189

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 560

Calls

Call 1

Inputs
(* (/ 1 (* (* v 2) (exp -6931/10000))) (exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)))
(/ 1 (* (* v 2) (exp -6931/10000)))
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(* (* v 2) (exp -6931/10000))
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
(* (* (/ 1/2 v) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v))) (exp 6931/10000))
(* (/ 1/2 v) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)))
(exp (/ (+ (* cosTheta_i cosTheta_O) -1) v))
(exp (+ (+ (/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v))) 6931/10000) (log (/ 1 (* 2 v)))))
(/ (+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v))) (* v (* v v)))
(+ (* (- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O))) v) (neg (* v v)))
(- (* (* cosTheta_i cosTheta_O) v) (* v (* sinTheta_i sinTheta_O)))
(exp (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(/ -1 v)
(/ (+ (* cosTheta_i cosTheta_O) -1) v)
(* v (* v v))
(* v (* sinTheta_i sinTheta_O))

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

simplify470.0ms (3.4%)

Memory

12.1MiB live, 879.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 570×	`accelerator-lowering-fma.f32`
8 570×	`accelerator-lowering-fma.f64`
7 902×	`-lowering-.f32`
7 902×	`-lowering-.f64`
4 400×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	994	11724
1	3249	11130
0	8399	10456

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

Inputs
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(/ 1/2 (* v (exp -6931/10000)))
(/ (+ (* 1/2 (/ (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)
(/ (+ (* 1/4 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000))))) v)
(/ (+ (* 1/12 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/4 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))))) v)
(/ 1/2 (* v (exp -6931/10000)))
(* -1 (/ (- (* -1/2 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (* v (exp -6931/10000)))) (* 1/2 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (exp -6931/10000))) (* -1/12 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (* v (exp -6931/10000))))) v)) (* 1/2 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 2) (exp -6931/10000)))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 3) (exp -6931/10000)))) (* 1/2 (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 2) (exp -6931/10000)))))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 4) (exp -6931/10000)))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 3) (exp -6931/10000)))))))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 2) (exp -6931/10000)))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 3) (exp -6931/10000)))) (* 1/2 (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 2) (exp -6931/10000)))))))
(+ (* 1/2 (/ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* v (exp -6931/10000)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (* (pow v 4) (exp -6931/10000)))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (* (pow v 3) (exp -6931/10000)))))))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 2) (exp -6931/10000)))) (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))))
(+ (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 3) (exp -6931/10000)))))))
(+ (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 4) (exp -6931/10000)))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 3) (exp -6931/10000)))))))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 2) (exp -6931/10000)))) (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))))
(+ (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 3) (exp -6931/10000)))))))
(+ (* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* v (exp -6931/10000)))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 2) (exp -6931/10000)))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (* (pow v 4) (exp -6931/10000)))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (pow v 3) (exp -6931/10000)))))))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (* v (exp -6931/10000))))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(/ 1/2 (* v (exp -6931/10000)))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 2 (* v (exp -6931/10000)))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(/ -1 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
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(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_i)))))
(/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) (pow v 3))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) cosTheta_O)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1) v)
(/ (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1) v)
(/ (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1) v)
(/ (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1) v)
(/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) (pow v 3))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) (pow v 3))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_i)) (* cosTheta_O (pow v 2))) (/ (pow v 2) cosTheta_i)))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_i)) (* cosTheta_O (pow v 2))) (/ (pow v 2) cosTheta_i)))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_i)) (* cosTheta_O (pow v 2))) (/ (pow v 2) cosTheta_i)))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_i)))))
(- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_O)) (* cosTheta_i (pow v 2))) (/ (pow v 2) cosTheta_O)))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_O)) (* cosTheta_i (pow v 2))) (/ (pow v 2) cosTheta_O)))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (pow v 2))) cosTheta_O)) (* cosTheta_i (pow v 2))) (/ (pow v 2) cosTheta_O)))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* -1 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (pow v 2)) cosTheta_O)))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1))
(* (pow v 2) (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1))
(* (pow v 2) (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1))
(* (pow v 2) (- (* -1 (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))) 1))
(- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(* -1 (* sinTheta_O (* sinTheta_i (pow v 2))))
(* sinTheta_i (- (+ (* -1 (* sinTheta_O (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (/ (pow v 2) sinTheta_i)))
(* sinTheta_i (- (+ (* -1 (* sinTheta_O (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (/ (pow v 2) sinTheta_i)))
(* sinTheta_i (- (+ (* -1 (* sinTheta_O (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (/ (pow v 2) sinTheta_i)))
(* -1 (* sinTheta_O (* sinTheta_i (pow v 2))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_i)) (* sinTheta_O (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_i)) (* sinTheta_O (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_i)) (* sinTheta_O (pow v 2)))))
(- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(- (+ (* -1 (* sinTheta_O (* sinTheta_i (pow v 2)))) (* cosTheta_O (* cosTheta_i (pow v 2)))) (pow v 2))
(* -1 (* sinTheta_O (* sinTheta_i (pow v 2))))
(* sinTheta_O (- (+ (* -1 (* sinTheta_i (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (/ (pow v 2) sinTheta_O)))
(* sinTheta_O (- (+ (* -1 (* sinTheta_i (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (/ (pow v 2) sinTheta_O)))
(* sinTheta_O (- (+ (* -1 (* sinTheta_i (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (/ (pow v 2) sinTheta_O)))
(* -1 (* sinTheta_O (* sinTheta_i (pow v 2))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_O)) (* sinTheta_i (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_O)) (* sinTheta_i (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (* cosTheta_O (* cosTheta_i (pow v 2))) (pow v 2)) sinTheta_O)) (* sinTheta_i (pow v 2)))))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(* cosTheta_O (* cosTheta_i v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i)) (* cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i)) (* cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i)) (* cosTheta_O v)))
(* cosTheta_O (* cosTheta_i v))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_i))))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(- (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* sinTheta_i v)))
(* cosTheta_O (* cosTheta_i v))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O)) (* cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O)) (* cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O)) (* cosTheta_i v)))
(* cosTheta_O (* cosTheta_i v))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i v)) (/ (* sinTheta_O (* sinTheta_i v)) cosTheta_O))))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* v (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))))
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))))
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))))
(* -1 (* v (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i)))))
(* cosTheta_O (* cosTheta_i v))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(* sinTheta_i (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i) (* sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i) (* sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i) (* sinTheta_O v)))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i)) (* -1 (* sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i)) (* -1 (* sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_i)) (* -1 (* sinTheta_O v)))))
(* cosTheta_O (* cosTheta_i v))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(+ (* -1 (* sinTheta_O (* sinTheta_i v))) (* cosTheta_O (* cosTheta_i v)))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (* sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (* sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O) (* sinTheta_i v)))
(* -1 (* sinTheta_O (* sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) (* -1 (* sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) (* -1 (* sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) (* -1 (* sinTheta_i v)))))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
1
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))
(* sinTheta_O (* sinTheta_i v))

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

eval135.0ms (1%)

Memory: -2.4MiB live, 437.6MiB allocated
Compiler: Compiled 37 918 to 3 618 computations (90.5% saved)

prune474.0ms (3.5%)

Memory

-9.3MiB live, 481.7MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 323	10	1 333
Fresh	5	8	13
Picked	3	2	5
Done	0	1	1
Total	1 331	21	1 352

Accuracy

100.0%

Counts

1 352 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
▶	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
	34.3%	(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))))
	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	99.7%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
▶	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
▶	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	97.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
	58.4%	(exp.f32 (+.f32 (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	99.6%	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	16.1%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 936 to 607 computations (35.1% saved)

simplify189.0ms (1.4%)

Memory

23.5MiB live, 419.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
✓	cost-diff	608	(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	3456	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	0	(exp.f32 #s(literal -6931/10000 binary32))
✓	cost-diff	0	(*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v))
✓	cost-diff	3264	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	cost-diff	0	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 v #s(literal 2 binary32))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	3328	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))

Rules

4 124×	`accelerator-lowering-fma.f32`
4 124×	`accelerator-lowering-fma.f64`
3 828×	`-lowering-.f32`
3 828×	`-lowering-.f64`
2 150×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	277
1	91	270
2	174	269
3	308	269
4	548	261
5	974	261
6	1976	261
7	4909	261
0	8356	249

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
v
2
(exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v))
(/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)
(+ (* sinTheta_O (neg sinTheta_i)) -1)
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
1
(/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v)
(* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
1/2
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
6931/10000
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
v
(* (/ 1/2 (* (exp -6931/10000) v)) (exp (/ -1 v)))
(/ 1/2 (* (exp -6931/10000) v))
1/2
(* (exp -6931/10000) v)
(exp -6931/10000)
-6931/10000
v
(exp (/ -1 v))
(/ -1 v)
-1
(* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
(/ 1/2 v)
1/2
v
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
48038761/100000000
(+ 6931/10000 (/ 1 v))
6931/10000
(/ 1 v)
1
(exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(/ 1 (* v v))
(* v v)

Outputs
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/ (exp 6931/10000) (* v 2))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
v
2
#s(literal 2 binary32)
(exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v))
(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ (* sinTheta_O (neg sinTheta_i)) -1)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 1 binary32))
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
1
#s(literal 1 binary32)
(/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v)
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
1/2
#s(literal 1/2 binary32)
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
v
(* (/ 1/2 (* (exp -6931/10000) v)) (exp (/ -1 v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ 1/2 (* (exp -6931/10000) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
1/2
#s(literal 1/2 binary32)
(* (exp -6931/10000) v)
(*.f32 v (exp.f32 #s(literal -6931/10000 binary32)))
(exp -6931/10000)
(exp.f32 #s(literal -6931/10000 binary32))
-6931/10000
#s(literal -6931/10000 binary32)
v
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal 6931/10000 binary32) (.f32 v v) v)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal 6931/10000 binary32) (*.f32 v v) v))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 v #s(literal -6931/10000 binary32) #s(literal -1 binary32)))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 v #s(literal -6931/10000 binary32) #s(literal -1 binary32))))
(/ 1 (* v v))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(* v v)
(*.f32 v v)

localize153.0ms (1.1%)

Memory

-24.5MiB live, 376.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓	accuracy	98.8%	(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	56.0%	(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.6%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.3%	(/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v))
✓	accuracy	99.0%	(*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.8%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v))
✓	accuracy	98.9%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))

Samples

96.0ms

256×

valid

Compiler

Compiled 268 to 50 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 21.0ms (28.5% of total)

ival-exp: 17.0ms (23.1% of total)

ival-mult: 14.0ms (19% of total)

const: 11.0ms (14.9% of total)

ival-add: 5.0ms (6.8% of total)

ival-neg: 3.0ms (4.1% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory

0.9MiB live, 76.6MiB allocated

Counts

25 → 504

Calls

Call 1

Inputs
#<alt (* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))>
#<alt (/ (exp 6931/10000) (* v 2))>
#<alt (exp 6931/10000)>
#<alt (* v 2)>
#<alt (+ (* cosTheta_O (/ cosTheta_i v)) 1)>
#<alt (/ cosTheta_i v)>
#<alt (/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v)>
#<alt (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))>
#<alt (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))>
#<alt (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))>
#<alt (* (/ 1/2 (* (exp -6931/10000) v)) (exp (/ -1 v)))>
#<alt (/ 1/2 (* (exp -6931/10000) v))>
#<alt (* (exp -6931/10000) v)>
#<alt (exp -6931/10000)>
#<alt (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))>
#<alt (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))>
#<alt (* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v))>
#<alt (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)>
#<alt (/ (+ (* sinTheta_O sinTheta_i) 1) v)>
#<alt (exp (/ -1 v))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (/ 1 (* v v))>
#<alt (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))>

Outputs
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v)>
#<alt (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v)))) v)>
#<alt (/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))>
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#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (* 1/2 (/ (exp (/ -1 v)) (* v (exp -6931/10000))))>
#<alt (* 1/2 (/ (exp (/ -1 v)) (* v (exp -6931/10000))))>
#<alt (* 1/2 (/ (exp (/ -1 v)) (* v (exp -6931/10000))))>
#<alt (* 1/2 (/ (exp (/ -1 v)) (* v (exp -6931/10000))))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ (- (* 1/2 (/ 1 (exp -6931/10000))) (* 1/2 (/ 1 (* v (exp -6931/10000))))) v)>
#<alt (/ (- (+ (/ 1/4 (* (pow v 2) (exp -6931/10000))) (* 1/2 (/ 1 (exp -6931/10000)))) (/ 1/2 (* v (exp -6931/10000)))) v)>
#<alt (/ (- (+ (* 1/2 (/ 1 (exp -6931/10000))) (* 1/4 (/ 1 (* (pow v 2) (exp -6931/10000))))) (+ (/ 1/2 (* v (exp -6931/10000))) (* 1/12 (/ 1 (* (pow v 3) (exp -6931/10000)))))) v)>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* v (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* v (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 (* v (exp -6931/10000)))) (* 1/4 (/ 1 (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (* v (exp -6931/10000))>
#<alt (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))>
#<alt (+ (* 48038761/100000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))>
#<alt (+ (* v (+ (* -4351410491404879/20000000000000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))>
#<alt (+ (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (* 4351410491404879/20000000000000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* 48038761/100000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))>
#<alt (- (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 26931/13862 (/ (exp 6931/10000) (pow v 2))))) (* 10000/6931 (/ (exp 6931/10000) (pow v 2))))>
#<alt (- (+ (exp 6931/10000) (+ (* -1063898761/288232566 (/ (exp 6931/10000) (pow v 3))) (+ (* -1 (/ (exp 6931/10000) v)) (* 26931/13862 (/ (exp 6931/10000) (pow v 2)))))) (+ (* -100000000/48038761 (/ (exp 6931/10000) (pow v 3))) (+ (* -10000/6931 (/ (exp 6931/10000) (pow v 3))) (* 10000/6931 (/ (exp 6931/10000) (pow v 2))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (- (* 26931/13862 (exp 6931/10000)) (* 10000/6931 (exp 6931/10000))) v))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (- (+ (* -1 (/ (- (* 1063898761/288232566 (exp 6931/10000)) (+ (* 10000/6931 (exp 6931/10000)) (* 100000000/48038761 (exp 6931/10000)))) v)) (* 26931/13862 (exp 6931/10000))) (* 10000/6931 (exp 6931/10000))) v))) v)))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt (/ (+ 1 (* v (- (* 48038761/100000000 v) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (* v (+ 48038761/100000000 (* -332956652491/1000000000000 v))) 6931/10000))) v)>
#<alt (/ 10000/6931 (pow v 2))>
#<alt (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) (pow v 2))>
#<alt (/ (- (+ 10000/6931 (/ 1000000000000/332956652491 (pow v 2))) (* 100000000/48038761 (/ 1 v))) (pow v 2))>
#<alt (/ (- (+ 10000/6931 (/ 1000000000000/332956652491 (pow v 2))) (+ (* 100000000/48038761 (/ 1 v)) (* 10000000000000000/2307722558415121 (/ 1 (pow v 3))))) (pow v 2))>
#<alt (/ 10000/6931 (pow v 2))>
#<alt (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) (pow v 2))>
#<alt (/ (+ 10000/6931 (* -1 (/ (- 100000000/48038761 (* 1000000000000/332956652491 (/ 1 v))) v))) (pow v 2))>
#<alt (/ (+ 10000/6931 (* -1 (/ (+ 100000000/48038761 (* -1 (/ (- 1000000000000/332956652491 (* 10000000000000000/2307722558415121 (/ 1 v))) v))) v))) (pow v 2))>
#<alt (/ 1/2 (* v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))>
#<alt (/ (+ (* 48038761/200000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (* 1/2 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) v)>
#<alt (/ (+ (* v (+ (* -4351410491404879/40000000000000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (* 48038761/200000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* 1/2 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) v)>
#<alt (/ (+ (* v (+ (* v (- (* 535804164344572917445081/12000000000000000000000000 (/ v (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))) (* 4351410491404879/40000000000000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* 48038761/200000000 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))))) (* 1/2 (/ 1 (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (- (* 26931/13862 (exp 6931/10000)) (* 10000/6931 (exp 6931/10000))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* -1063898761/288232566 (exp 6931/10000)) (+ (* -100000000/48038761 (exp 6931/10000)) (* -10000/6931 (exp 6931/10000)))) (pow v 3))) (* 1/2 (/ (- (* 26931/13862 (exp 6931/10000)) (* 10000/6931 (exp 6931/10000))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (- (* 26931/13862 (exp 6931/10000)) (* 10000/6931 (exp 6931/10000))) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 26931/13862 (exp 6931/10000)) (* 10000/6931 (exp 6931/10000)))) (* 1/2 (/ (- (* 1063898761/288232566 (exp 6931/10000)) (+ (* 10000/6931 (exp 6931/10000)) (* 100000000/48038761 (exp 6931/10000)))) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ -1 v)))) (pow v 2))))))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ -1 v))) (pow v 2))))))))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ -1 v)))) v)))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ -1 v)))) (pow v 2))))))>
#<alt (+ (exp (/ -1 v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ -1 v))) (pow v 2))))))))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (pow v 2))))) (/ 1 v))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3) (pow v 3))) (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (pow v 2)))))) (/ 1 v))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3) v)) (* 1/2 (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) v))) v)))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))>
#<alt (* 48038761/100000000 v)>
#<alt (* v (+ 48038761/100000000 (* -332956652491/1000000000000 v)))>
#<alt (* v (+ 48038761/100000000 (* v (- (* 2307722558415121/10000000000000000 v) 332956652491/1000000000000))))>
#<alt (* v (+ 48038761/100000000 (* v (- (* v (+ 2307722558415121/10000000000000000 (* -15994825052375203651/100000000000000000000 v))) 332956652491/1000000000000))))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (+ (/ 1 v) (* 100000000/48038761 (/ 1 (pow v 3)))))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* 10000/6931 (/ 1 v))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) v))) v)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))>
#<alt (- (+ 1 (+ (* 10000/6931 (/ 1 (pow v 2))) (* 1346550000000/332956652491 (/ 1 (pow v 4))))) (/ 100000000/48038761 (pow v 3)))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))>
#<alt (+ 1 (+ (* -1 (/ (- 100000000/48038761 (* 1346550000000/332956652491 (/ 1 v))) (pow v 3))) (* 10000/6931 (/ 1 (pow v 2)))))>

Calls

126 calls:

Time	Variable		Point	Expression
12.0ms	v	@	0	(/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v)
3.0ms	v	@	-inf	(* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
1.0ms	sinTheta_i	@	inf	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))
1.0ms	sinTheta_O	@	0	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))
1.0ms	v	@	0	(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))

rewrite493.0ms (3.6%)

Memory

33.3MiB live, 664.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 270×	`/-lowering-/.f32`
5 270×	`/-lowering-/.f64`
3 740×	`-lowering-.f32`
3 740×	`-lowering-.f64`
3 176×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	217
1	230	177
2	1729	176
0	8297	169

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 911

Calls

Call 1

Inputs
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
(* v 2)
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(/ cosTheta_i v)
(/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v)
(* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
(exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
(* (/ 1/2 (* (exp -6931/10000) v)) (exp (/ -1 v)))
(/ 1/2 (* (exp -6931/10000) v))
(* (exp -6931/10000) v)
(exp -6931/10000)
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(* (/ 1/2 v) (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
(/ 1/2 v)
(exp (/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v))
(/ (+ (* sinTheta_O (neg sinTheta_i)) -1) v)
(/ (+ (* sinTheta_O sinTheta_i) 1) v)
(exp (/ -1 v))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/ 1 (* v v))
(exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))

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

simplify546.0ms (4%)

Memory

14.3MiB live, 807.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 072×	`accelerator-lowering-fma.f32`
8 072×	`accelerator-lowering-fma.f64`
6 684×	`-lowering-.f32`
6 684×	`-lowering-.f64`
2 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	6517
1	2382	6238
2	7365	6220
0	8597	5866

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
(* 2 v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
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(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
1
(- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (pow v 2))))) (/ 1 v))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3) (pow v 3))) (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (pow v 2)))))) (/ 1 v))
1
(- (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* -1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3) v)) (* 1/2 (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) v))) v)))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
1
(- 1 (/ 1 v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(* 48038761/100000000 v)
(* v (+ 48038761/100000000 (* -332956652491/1000000000000 v)))
(* v (+ 48038761/100000000 (* v (- (* 2307722558415121/10000000000000000 v) 332956652491/1000000000000))))
(* v (+ 48038761/100000000 (* v (- (* v (+ 2307722558415121/10000000000000000 (* -15994825052375203651/100000000000000000000 v))) 332956652491/1000000000000))))
6931/10000
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (/ 1 v))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (+ (/ 1 v) (* 100000000/48038761 (/ 1 (pow v 3)))))
6931/10000
(- 6931/10000 (/ 1 v))
(+ 6931/10000 (* -1 (/ (- 1 (* 10000/6931 (/ 1 v))) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* -1 (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) v))) v)))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
1
(+ 1 (* 10000/6931 (/ 1 (pow v 2))))
(- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))
(- (+ 1 (+ (* 10000/6931 (/ 1 (pow v 2))) (* 1346550000000/332956652491 (/ 1 (pow v 4))))) (/ 100000000/48038761 (pow v 3)))
1
(+ 1 (* 10000/6931 (/ 1 (pow v 2))))
(- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))
(+ 1 (+ (* -1 (/ (- 100000000/48038761 (* 1346550000000/332956652491 (/ 1 v))) (pow v 3))) (* 10000/6931 (/ 1 (pow v 2)))))

Outputs
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v)))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 v v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 #s(literal 1/12 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (neg.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v)))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 v v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1/4 binary32) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/12 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/4 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(fma.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v))) (.f32 #s(literal -1/2 binary32) sinTheta_O)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 (.f32 #s(literal -1/12 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 v (.f32 v v)) v)) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(fma.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v v))) (.f32 #s(literal -1/2 binary32) sinTheta_O)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) (.f32 sinTheta_i (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_O (.f32 v v))) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 v (*.f32 v v))))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v (.f32 v v))) (.f32 (.f32 #s(literal -1/12 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 sinTheta_i (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
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(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v)) v))
(* 48038761/100000000 v)
(*.f32 v #s(literal 48038761/100000000 binary32))
(* v (+ 48038761/100000000 (* -332956652491/1000000000000 v)))
(*.f32 v (fma.f32 v #s(literal -332956652491/1000000000000 binary32) #s(literal 48038761/100000000 binary32)))
(* v (+ 48038761/100000000 (* v (- (* 2307722558415121/10000000000000000 v) 332956652491/1000000000000))))
(*.f32 v (fma.f32 v (fma.f32 v #s(literal 2307722558415121/10000000000000000 binary32) #s(literal -332956652491/1000000000000 binary32)) #s(literal 48038761/100000000 binary32)))
(* v (+ 48038761/100000000 (* v (- (* v (+ 2307722558415121/10000000000000000 (* -15994825052375203651/100000000000000000000 v))) 332956652491/1000000000000))))
(*.f32 v (fma.f32 v (fma.f32 v (fma.f32 v #s(literal -15994825052375203651/100000000000000000000 binary32) #s(literal 2307722558415121/10000000000000000 binary32)) #s(literal -332956652491/1000000000000 binary32)) #s(literal 48038761/100000000 binary32)))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 10000/6931 binary32) (*.f32 v v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (+ (/ 1 v) (* 100000000/48038761 (/ 1 (pow v 3)))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (+.f32 #s(literal 10000/6931 binary32) (/.f32 #s(literal -100000000/48038761 binary32) v)) (*.f32 v v)) (/.f32 #s(literal 1 binary32) v)))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(+ 6931/10000 (* -1 (/ (- 1 (* 10000/6931 (/ 1 v))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -10000/6931 binary32) v)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* -1 (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) v))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 10000/6931 binary32) (/.f32 #s(literal -100000000/48038761 binary32) v)) v)) v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10000/6931 binary32) (*.f32 v v)))
(- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 10000/6931 binary32) (/.f32 #s(literal -100000000/48038761 binary32) v)) (*.f32 v v)))
(- (+ 1 (+ (* 10000/6931 (/ 1 (pow v 2))) (* 1346550000000/332956652491 (/ 1 (pow v 4))))) (/ 100000000/48038761 (pow v 3)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1346550000000/332956652491 binary32) (.f32 (.f32 v (.f32 v v)) v)) (/.f32 (+.f32 #s(literal 10000/6931 binary32) (/.f32 #s(literal -100000000/48038761 binary32) v)) (.f32 v v))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10000/6931 binary32) (*.f32 v v)))
(- (+ 1 (* 10000/6931 (/ 1 (pow v 2)))) (/ 100000000/48038761 (pow v 3)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 10000/6931 binary32) (/.f32 #s(literal -100000000/48038761 binary32) v)) (*.f32 v v)))
(+ 1 (+ (* -1 (/ (- 100000000/48038761 (* 1346550000000/332956652491 (/ 1 v))) (pow v 3))) (* 10000/6931 (/ 1 (pow v 2)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 10000/6931 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 100000000/48038761 binary32) (/.f32 #s(literal -1346550000000/332956652491 binary32) v)) (.f32 v (*.f32 v v)))))

eval138.0ms (1%)

Memory: -14.6MiB live, 388.5MiB allocated
Compiler: Compiled 28 135 to 3 418 computations (87.9% saved)

prune207.0ms (1.5%)

Memory

-12.8MiB live, 585.4MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 398	17	1 415
Fresh	4	9	13
Picked	2	3	5
Done	0	3	3
Total	1 404	32	1 436

Accuracy

100.0%

Counts

1 436 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 1 binary32))
	6.2%	(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
✓	6.2%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	99.4%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	38.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))))))
✓	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
	34.3%	(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))))
	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	6.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.4%	(/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v)))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 v (fma.f32 v (fma.f32 v #s(literal -15994825052375203651/100000000000000000000 binary32) #s(literal 2307722558415121/10000000000000000 binary32)) #s(literal -332956652491/1000000000000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 v #s(literal -332956652491/1000000000000 binary32) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.4%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
	97.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.5%	(.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))))) (/.f32 #s(literal 1/2 binary32) v)))
	99.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 #s(literal -6931/10000 binary32)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
	58.4%	(exp.f32 (+.f32 (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	99.6%	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	16.1%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 1 703 to 726 computations (57.4% saved)

regimes419.0ms (3.1%)

Memory

30.6MiB live, 347.4MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 1 binary32))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_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))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) v (neg.f32 (.f32 v v))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 v #s(literal -332956652491/1000000000000 binary32) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))))))
(.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 v (fma.f32 v (fma.f32 v #s(literal -15994825052375203651/100000000000000000000 binary32) #s(literal 2307722558415121/10000000000000000 binary32)) #s(literal -332956652491/1000000000000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 #s(literal -6931/10000 binary32)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v))))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 v (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (.f32 v (.f32 v v)))) (log.f32 (.f32 v #s(literal 2 binary32)))))))

Outputs

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

Calls

9 calls:

276.0ms	sinTheta_i
33.0ms	cosTheta_i
17.0ms	v
16.0ms	sinTheta_O
16.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes95.0ms (0.7%)

Memory

-23.5MiB live, 183.7MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

9 calls:

13.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	cosTheta_i
11.0ms	sinTheta_i
11.0ms	sinTheta_O
10.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes83.0ms (0.6%)

Memory

4.9MiB live, 162.1MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

9 calls:

12.0ms	cosTheta_O
11.0ms	sinTheta_O
10.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
9.0ms	(*.f32 sinTheta_i sinTheta_O)
8.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`
99.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes49.0ms (0.4%)

Memory

-3.4MiB live, 71.9MiB allocated

Counts

15 → 1

Calls

Call 1

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

9 calls:

8.0ms	cosTheta_O
8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`
99.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes45.0ms (0.3%)

Memory

-13.8MiB live, 67.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

9 calls:

7.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms	v
4.0ms	cosTheta_O
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.0%	1	`cosTheta_i`
97.0%	1	`cosTheta_O`
97.0%	1	`sinTheta_i`
97.0%	1	`sinTheta_O`
97.0%	1	`v`
97.0%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.0%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes39.0ms (0.3%)

Memory

14.5MiB live, 91.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	cosTheta_i
5.0ms	(*.f32 cosTheta_i cosTheta_O)
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms	sinTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
96.7%	1	`cosTheta_i`
96.7%	1	`cosTheta_O`
96.7%	1	`sinTheta_i`
96.7%	1	`sinTheta_O`
96.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
96.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
96.7%	1	`v`
96.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
96.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes31.0ms (0.2%)

Memory

17.2MiB live, 56.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

9 calls:

5.0ms	v
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	sinTheta_O
3.0ms	cosTheta_i
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
96.7%	1	`cosTheta_i`
96.7%	1	`cosTheta_O`
96.7%	1	`sinTheta_i`
96.7%	1	`sinTheta_O`
96.7%	1	`v`
96.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
96.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
96.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
96.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes32.0ms (0.2%)

Memory

-29.8MiB live, 55.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	cosTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
45.4%	2	`cosTheta_O`
38.5%	1	`sinTheta_i`
38.5%	1	`sinTheta_O`
38.5%	1	`v`
38.5%	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)))))`
38.5%	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))))`
48.4%	2	`(*.f32 cosTheta_i cosTheta_O)`
38.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
42.4%	2	`cosTheta_i`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
38.5%	1	`cosTheta_i`
38.5%	1	`cosTheta_O`
38.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Memory

-11.9MiB live, 26.0MiB allocated

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

9 calls:

4.0ms	cosTheta_i
2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	sinTheta_i
1.0ms	sinTheta_O
1.0ms	v

Results

Accuracy	Segments	Branch
6.4%	1	`cosTheta_i`
6.4%	1	`v`
6.4%	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)))))`
6.4%	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))))`
6.4%	1	`cosTheta_O`
6.4%	1	`sinTheta_i`
6.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
6.4%	1	`sinTheta_O`
6.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.369094579507476e-34	-4.398113491134031e-34

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify10.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary32`
20×	`+-commutative_binary32`
14×	`sub-neg_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	106
1	77	106
2	92	106
3	104	106
4	112	106
5	115	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2722259/5444517870735015415413993718908291383296 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)

soundness1.1s (7.7%)

Memory

45.4MiB live, 1 007.9MiB allocated

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
9 370×	`accelerator-lowering-fma.f32`
9 370×	`accelerator-lowering-fma.f64`
8 570×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	994	11724
1	3249	11130
0	8399	10456
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926
0	775	6517
1	2382	6238
2	7365	6220
0	8597	5866
0	21	71
1	134	64
2	1494	64
0	8235	64
0	42	181
1	218	172
2	1695	171
0	8396	161
0	805	9033
1	2533	8592
0	8316	8135

Stop Event

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

Compiler

Compiled 386 to 276 computations (28.5% saved)

preprocess327.0ms (2.4%)

Memory

-143.6MiB live, 184.8MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 594 to 392 computations (34% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze686.0ms (5%)

sample2.7s (19.7%)

preprocess283.0ms (2.1%)

explain247.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify234.0ms (1.7%)

localize83.0ms (0.6%)

series102.0ms (0.7%)

rewrite438.0ms (3.2%)

simplify426.0ms (3.1%)

eval82.0ms (0.6%)

prune101.0ms (0.7%)

simplify471.0ms (3.4%)

localize220.0ms (1.6%)

series79.0ms (0.6%)

rewrite574.0ms (4.2%)

simplify638.0ms (4.7%)

eval172.0ms (1.3%)

prune184.0ms (1.3%)

simplify243.0ms (1.8%)

localize207.0ms (1.5%)

series104.0ms (0.8%)

rewrite355.0ms (2.6%)

simplify470.0ms (3.4%)

eval135.0ms (1%)

prune474.0ms (3.5%)

simplify189.0ms (1.4%)

localize153.0ms (1.1%)

series72.0ms (0.5%)

rewrite493.0ms (3.6%)

simplify546.0ms (4%)

eval138.0ms (1%)

prune207.0ms (1.5%)

regimes419.0ms (3.1%)

regimes95.0ms (0.7%)

regimes83.0ms (0.6%)

regimes49.0ms (0.4%)

regimes45.0ms (0.3%)

regimes39.0ms (0.3%)

regimes31.0ms (0.2%)

regimes32.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.1s (7.7%)

preprocess327.0ms (2.4%)

end0.0ms (0%)

Profiling