Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.3s (13%)

Memory

-98.4MiB live, 795.9MiB allocated; 1.2s collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9
0%	0%	0%	100%	0%	0%	0%	10
50%	0%	0%	100%	0%	0%	0%	11
50%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.3s (22.5%)

Memory

72.8MiB live, 2 379.0MiB allocated; 415ms collecting garbage

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 292.0ms (22.7% of total)

ival-<=: 233.0ms (18.1% of total)

ival-div: 224.0ms (17.4% of total)

const: 217.0ms (16.9% of total)

ival-exp: 86.0ms (6.7% of total)

ival-sinh: 83.0ms (6.4% of total)

ival-and: 50.0ms (3.9% of total)

ival-<: 42.0ms (3.3% of total)

ival-neg: 41.0ms (3.2% of total)

exact: 14.0ms (1.1% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain169.0ms (1.7%)

Memory

12.0MiB live, 248.6MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
1	(-2.21907998820825e-6 1.5187317318034092e-27 -3.026599739162543e-21 7.436253406145848e-26 0.23078925907611847)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	(-4.908217116016626e-29 2.5958586119042177e-18 5.255821733385346e-8 -4.061102640643358e-22 0.1557397097349167)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	103
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	1	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	90

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

69.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 15.0ms (32.7% of total)

ival-div: 13.0ms (28.3% of total)

ival-sinh: 10.0ms (21.8% of total)

ival-exp: 4.0ms (8.7% of total)

ival-neg: 2.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess196.0ms (1.9%)

Memory

-1.7MiB live, 190.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	575	449
2	2251	420
0	19	22
0	31	22
1	71	22
2	229	21
3	1195	21
4	7705	21
0	8003	21

Stop Event

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

Calls

Call 1

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

Outputs

(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify154.0ms (1.5%)

Memory

-26.4MiB live, 65.2MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	1	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	71	92
2	229	90
3	1195	90
4	7705	90
0	8003	90

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize40.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23335388162040163	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.25155759254663357	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

29.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (37% of total)

ival-div: 6.0ms (31.8% of total)

ival-exp: 2.0ms (10.6% of total)

ival-sinh: 2.0ms (10.6% of total)

ival-neg: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series138.0ms (1.4%)

Memory

-15.5MiB live, 79.7MiB allocated; 14ms collecting garbage

Counts

8 → 52

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

Calls

15 calls:

Time	Variable		Point	Expression
61.0ms	cosTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
30.0ms	v	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
6.0ms	cosTheta_i	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
6.0ms	sinTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
3.0ms	v	@	inf	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))

simplify226.0ms (2.2%)

Memory

-58.4MiB live, 134.4MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1482
1	1210	1416
2	5399	1331
0	8591	1278

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_O cosTheta_O) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_i))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (/.f32 cosTheta_O v) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_i (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) #s(literal -1/6 binary32)) v)) (.f32 v v)) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (/.f32 cosTheta_O v) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O)) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O sinTheta_O)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_i (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) #s(literal -1/6 binary32)) v)) (.f32 v v)) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v) (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))) (.f32 v v))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O (.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v))) v)) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))

rewrite45.0ms (0.4%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
0	379	70

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 88

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -18.7MiB live, 28.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 439 to 707 computations (84.1% saved)

prune14.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	114	19	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	19	134

Accuracy

99.5%

Counts

134 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.6%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.4%	(/.f32 (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) v)
	98.8%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	61.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	61.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
	61.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
▶	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
▶	61.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 1 228 to 944 computations (23.1% saved)

simplify108.0ms (1.1%)

Memory

-9.2MiB live, 37.8MiB allocated; 1ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	0	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
cost-diff	1	(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
cost-diff	0	(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
cost-diff	0	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	3	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	1	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
cost-diff	0	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
cost-diff	0	#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
cost-diff	0	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	2	(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	480
0	105	477
1	215	477
2	668	460
3	3500	454
0	8564	454

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)
(.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)
(.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

Outputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 cosTheta_i v) (-.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i) v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 cosTheta_i v) (-.f32 cosTheta_O (/.f32 (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i) v))))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(.f32 (/.f32 cosTheta_i v) (-.f32 cosTheta_O (/.f32 (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i) v)))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)
(.f32 (.f32 (/.f32 cosTheta_O v) sinTheta_O) (*.f32 cosTheta_i sinTheta_i))
(.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)
(.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i)
(.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)
(.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_i #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

localize199.0ms (2%)

Memory

10.3MiB live, 147.4MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.162441259768442	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.25	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.2575187988422101	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.23828125	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.34375	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.7443579339349734	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.7580679925456256	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1484375	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
accuracy	0.23335388162040163	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.25155759254663357	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	22.996408306553874	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.0390625	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.25155759254663357	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	12.172074848812564	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
accuracy	0.1484375	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.24374509254663357	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

139.0ms

256×

valid

Compiler

Compiled 420 to 49 computations (88.3% saved)

Precisions

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

ival-div: 46.0ms (55.5% of total)

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

ival-exp: 8.0ms (9.6% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series159.0ms (1.6%)

Memory

-9.5MiB live, 178.4MiB allocated; 41ms collecting garbage

Counts

28 → 124

Calls

Call 1

Inputs
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 cosTheta_O (*.f32 v v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

Outputs
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ 1 v))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+ 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 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	cosTheta_i	@	inf	((- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) v) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ cosTheta_O (* v v)) (* (* 2 v) (sinh (/ 1 v))))
23.0ms	v	@	inf	((- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) v) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ cosTheta_O (* v v)) (* (* 2 v) (sinh (/ 1 v))))
16.0ms	sinTheta_O	@	0	((- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) v) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ cosTheta_O (* v v)) (* (* 2 v) (sinh (/ 1 v))))
15.0ms	cosTheta_i	@	0	((- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) v) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ cosTheta_O (* v v)) (* (* 2 v) (sinh (/ 1 v))))
9.0ms	cosTheta_O	@	inf	((- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) v) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (exp (/ 1 v)) (exp (/ -1 v)) (/ cosTheta_O (* v v)) (* (* 2 v) (sinh (/ 1 v))))

simplify157.0ms (1.6%)

Memory

29.8MiB live, 169.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	3210
1	2251	3079
0	8371	2973

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 124

Calls

Call 1

Inputs
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ 1 v))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+ 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 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Outputs
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O)) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 (neg.f32 cosTheta_i) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (neg.f32 v))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v)
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 v v)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 5 binary32))) (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (.f32 v v))) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 sinTheta_i (*.f32 v v)) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v)) sinTheta_i (.f32 cosTheta_i cosTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O cosTheta_i) v))) sinTheta_i (.f32 cosTheta_i cosTheta_O))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v v))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v) (.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))
(.f32 (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (*.f32 sinTheta_O cosTheta_i) v))) sinTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (.f32 v v))) sinTheta_i)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(.f32 (neg.f32 sinTheta_i) (neg.f32 (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (*.f32 sinTheta_O cosTheta_i) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (*.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 v v)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 5 binary32))) (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (.f32 v v))) sinTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O)) sinTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v)) sinTheta_O (.f32 cosTheta_i cosTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i cosTheta_i) v))) sinTheta_O (.f32 cosTheta_i cosTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v) (.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) v))) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (fma.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (.f32 v v))) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(.f32 (neg.f32 sinTheta_O) (neg.f32 (.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
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(/ (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (*.f32 sinTheta_i sinTheta_O))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
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(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/4320 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))
(-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))))
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(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(-.f32 (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(+ 1 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
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(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))))
(- 1 (/ 1 v))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/4320 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/720 binary32))))) (neg.f32 v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #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))

rewrite66.0ms (0.7%)

Memory

-33.4MiB live, 60.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	369
0	105	369
1	276	360
0	1386	360

Stop Event

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

Counts

28 → 340

Calls

Call 1

Inputs
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 cosTheta_O (*.f32 v v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 2 binary32))) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (/.f32 (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 2 binary32)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32)) (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (.f32 (neg.f32 (.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_O cosTheta_i (.f32 (neg.f32 (.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 cosTheta_O v)))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 cosTheta_O v)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)))) (neg.f32 (.f32 #s(literal -2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v)
(/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v))) (.f32 #s(literal -2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)) (.f32 #s(literal -2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v))) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v))))) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v))) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (.f32 v v))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (*.f32 v v)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))))) (neg.f32 (neg.f32 v)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v) (.f32 (neg.f32 v) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 2 binary32))) (.f32 (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) v)
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (/.f32 cosTheta_O (*.f32 v v))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)))) v))
(neg.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 1/2 binary32)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))))
(.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) v))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 1 binary32)) (*.f32 (neg.f32 v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (*.f32 v (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (neg.f32 v))
(/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 cosTheta_i cosTheta_O)) v)
(fma.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (neg.f32 (sinh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+.f32 (.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (neg.f32 (sinh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(+.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (sinh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))))
(.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
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(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(neg.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 cosTheta_O (fabs.f32 v)) (fabs.f32 v))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) v))
(/.f32 cosTheta_O (*.f32 v v))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (*.f32 v v)))
(neg.f32 (/.f32 cosTheta_O (*.f32 (neg.f32 v) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))

eval42.0ms (0.4%)

Memory: 40.3MiB live, 86.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 18 152 to 1 959 computations (89.2% saved)

prune61.0ms (0.6%)

Memory

-7.1MiB live, 93.0MiB allocated; 40ms collecting garbage

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	421	36	457
Fresh	13	1	14
Picked	5	0	5
Done	0	0	0
Total	439	37	476

Accuracy

99.7%

Counts

476 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	61.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
	98.5%	(/.f32 (.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
	62.0%	(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
	62.0%	(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
	8.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	73.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	67.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
▶	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	67.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
▶	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	61.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))

Compiler

Compiled 3 002 to 2 196 computations (26.8% saved)

simplify116.0ms (1.2%)

Memory

1.6MiB live, 142.2MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	0	(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
cost-diff	0	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
cost-diff	1	(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
cost-diff	0	(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
cost-diff	0	#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))
cost-diff	0	#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
cost-diff	0	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	629
0	113	622
1	228	622
2	701	610
3	3571	610
0	8134	610

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
cosTheta_i
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
cosTheta_O
(.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
#s(literal -1 binary32)
#s(literal -1/3 binary32)
#s(literal 2 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 v v)
v
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)

Outputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)
cosTheta_i
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v)
(-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O))
cosTheta_O
(.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(/.f32 (/.f32 cosTheta_O v) v)
cosTheta_O
(*.f32 v v)
v
cosTheta_i
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
(-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
#s(literal -1 binary32)
#s(literal -1/3 binary32)
#s(literal 2 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 v v)
v
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)

localize144.0ms (1.4%)

Memory

-17.6MiB live, 215.8MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34375	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.4407651667055551	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
accuracy	0.7443579339349734	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.7580679925456256	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1484375	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.25	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.25155759254663357	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.3125	(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
accuracy	0.35546875	(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
accuracy	0.6751938476844204	(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
accuracy	17.179812153279613	#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.0390625	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
accuracy	0.11328125	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy	12.172074848812564	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
accuracy	0.1484375	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.23335388162040163	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

104.0ms

256×

valid

Compiler

Compiled 448 to 59 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 30.0ms (38.7% of total)

ival-mult: 24.0ms (31% of total)

ival-exp: 7.0ms (9% of total)

const: 6.0ms (7.7% of total)

ival-sub: 4.0ms (5.2% of total)

ival-sinh: 3.0ms (3.9% of total)

ival-neg: 2.0ms (2.6% of total)

ival-add: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.8%)

Memory

-1.6MiB live, 141.3MiB allocated; 15ms collecting garbage

Counts

29 → 94

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_O v)
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ -1/60 (pow v 2))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 1/60 (pow v 2))
(/ -1/60 (pow v 4))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))
(exp (/ 1 v))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
-1/3
(* -1 (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ -1/3 (pow v 2))
(* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))
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 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	cosTheta_i	@	-inf	((/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (* cosTheta_i (/ (- cosTheta_O (* cosTheta_O (/ (* sinTheta_i sinTheta_O) v))) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (* cosTheta_i cosTheta_O) (* v v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (* (* 2 v) (sinh (/ 1 v))) (exp (/ 1 v)) (exp (/ -1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
8.0ms	cosTheta_O	@	-inf	((/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (* cosTheta_i (/ (- cosTheta_O (* cosTheta_O (/ (* sinTheta_i sinTheta_O) v))) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (* cosTheta_i cosTheta_O) (* v v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (* (* 2 v) (sinh (/ 1 v))) (exp (/ 1 v)) (exp (/ -1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
7.0ms	v	@	inf	((/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (* cosTheta_i (/ (- cosTheta_O (* cosTheta_O (/ (* sinTheta_i sinTheta_O) v))) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (* cosTheta_i cosTheta_O) (* v v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (* (* 2 v) (sinh (/ 1 v))) (exp (/ 1 v)) (exp (/ -1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
6.0ms	cosTheta_O	@	0	((/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (* cosTheta_i (/ (- cosTheta_O (* cosTheta_O (/ (* sinTheta_i sinTheta_O) v))) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (* cosTheta_i cosTheta_O) (* v v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (* (* 2 v) (sinh (/ 1 v))) (exp (/ 1 v)) (exp (/ -1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
6.0ms	v	@	0	((/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (* cosTheta_i (/ (- cosTheta_O (* cosTheta_O (/ (* sinTheta_i sinTheta_O) v))) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ (* cosTheta_i cosTheta_O) (* v v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (* (* 2 v) (sinh (/ 1 v))) (exp (/ 1 v)) (exp (/ -1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))

simplify176.0ms (1.7%)

Memory

34.2MiB live, 224.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	2078
1	1774	1990
2	7705	1916
0	8162	1850

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 94

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_O v)
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ -1/60 (pow v 2))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 1/60 (pow v 2))
(/ -1/60 (pow v 4))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))
(exp (/ 1 v))
(exp (/ -1 v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
-1/3
(* -1 (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ -1/3 (pow v 2))
(* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))
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 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O v))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) cosTheta_i) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O (neg.f32 cosTheta_O)) v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (fma.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i (/.f32 (.f32 (.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_i))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (fma.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i (/.f32 (.f32 (.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_i (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_i) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) v)) v) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) #s(literal -1 binary32) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) v)) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_O (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32)))) (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(.f32 (neg.f32 sinTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal -1 binary32) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v)) v))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) (-.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (.f32 cosTheta_i v))) v) v)
(/ -1/60 (pow v 2))
(/.f32 #s(literal -1/60 binary32) (*.f32 v v))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 2))
(/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 v v) #s(literal -1/60 binary32)) v) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(- (exp (/ 1 v)) (exp (/ -1 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/ 1/60 (pow v 2))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(/ -1/60 (pow v 4))
(/.f32 #s(literal -1/60 binary32) (pow.f32 v #s(literal 4 binary32)))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))
(/.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 v v) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32)))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v v))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)))) v)
-1/3
#s(literal -1/3 binary32)
(* -1 (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))
(+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 #s(literal -1/1680 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 7/4320 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) cosTheta_O) #s(literal -7/720 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal -7/360 binary32) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -1/840 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal -7/360 binary32) (pow.f32 v #s(literal 4 binary32))))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(/ -1/3 (pow v 2))
(/.f32 #s(literal -1/3 binary32) (*.f32 v v))
(* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) v) #s(literal 1 binary32))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) v) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))))
(- 1 (/ 1 v))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal -7/720 binary32) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 #s(literal 1/1680 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -7/4320 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/840 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #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))

rewrite79.0ms (0.8%)

Memory

-35.6MiB live, 103.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	499
0	113	488
1	340	476
0	2060	476

Stop Event

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

Counts

29 → 297

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))

Outputs
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))))) (neg.f32 (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v)
(/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)))) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))) (.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i))
(.f32 (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v) cosTheta_i)
(.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) v))
(/.f32 (.f32 (neg.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O))) cosTheta_i) (neg.f32 v))
(/.f32 (.f32 cosTheta_i (neg.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) cosTheta_i)) (neg.f32 v))
(/.f32 (.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)) cosTheta_i) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) cosTheta_i)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) v)
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) v)
(/.f32 (neg.f32 cosTheta_O) (neg.f32 v))
(/.f32 cosTheta_O v)
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 (-.f32 #s(literal 1/9 binary32) (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32))) (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/60 binary32) (.f32 v v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1/27 binary32) (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 3 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1/180 binary32) (*.f32 v v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (-.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)))
(/.f32 (+.f32 #s(literal -1/27 binary32) (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 3 binary32))) (+.f32 #s(literal 1/9 binary32) (-.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/180 binary32) (*.f32 v v)))))
(/.f32 (+.f32 #s(literal -1/27 binary32) (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1/180 binary32) (*.f32 v v))))
(-.f32 (/.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (-.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32))))
(-.f32 #s(literal -1/3 binary32) (.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1 binary32)))
(-.f32 #s(literal -1/3 binary32) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (fabs.f32 v)) (/.f32 #s(literal -1 binary32) (fabs.f32 v)) #s(literal -1/3 binary32))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v) #s(literal -1/3 binary32))
(fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
(fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(+.f32 (/.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1/180 binary32) (.f32 v v)))) (/.f32 #s(literal -1/27 binary32) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1/180 binary32) (*.f32 v v)))))
(+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/60 binary32) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(.f32 (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 (neg.f32 v) v))
(/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v))
(/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v)) (neg.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (neg.f32 v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (neg.f32 (neg.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(neg.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(neg.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (neg.f32 #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 cosTheta_O (fabs.f32 v)) (/.f32 cosTheta_i (fabs.f32 v)))
(*.f32 (/.f32 cosTheta_i (fabs.f32 v)) (/.f32 cosTheta_O (fabs.f32 v)))
(*.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 cosTheta_i (neg.f32 v)))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_O (neg.f32 v)))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) v)
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 v v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v))
(/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) v))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v))
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) v))
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(fma.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 v)) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (fabs.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (fabs.f32 v)) (/.f32 #s(literal -1 binary32) (fabs.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) v) (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (neg.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(+.f32 (/.f32 #s(literal -1/3 binary32) (.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v))
(+.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 (neg.f32 v) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(-.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) (+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

eval35.0ms (0.3%)

Memory: 17.4MiB live, 67.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 17 278 to 1 729 computations (90% saved)

prune69.0ms (0.7%)

Memory

-4.1MiB live, 136.1MiB allocated; 9ms collecting garbage

Pruning

64 alts after pruning (60 fresh and 4 done)

	Pruned	Kept	Total
New	288	36	324
Fresh	8	24	32
Picked	1	4	5
Done	0	0	0
Total	297	64	361

Accuracy

99.7%

Counts

361 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	61.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
	62.0%	(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
	8.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	73.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	73.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	67.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
✓	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
	67.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
▶	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	67.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
✓	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	61.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
	61.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))

Compiler

Compiled 5 919 to 4 210 computations (28.9% saved)

simplify126.0ms (1.2%)

Memory

-10.0MiB live, 176.4MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 cosTheta_O (*.f32 v v))
cost-diff	0	(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
cost-diff	0	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
cost-diff	1	(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
cost-diff	0	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
cost-diff	0	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
cost-diff	1	(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
cost-diff	0	#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))
cost-diff	0	#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)))
cost-diff	0	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	2	(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	790
0	128	774
1	269	774
2	849	756
3	4342	750
0	8133	750

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))
(.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)
(/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v)
(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))
(/.f32 cosTheta_O sinTheta_O)
cosTheta_O
sinTheta_O
cosTheta_i
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i)
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(neg.f32 cosTheta_i)
sinTheta_i
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
cosTheta_O
(/.f32 cosTheta_i (*.f32 v v))
cosTheta_i
(*.f32 v v)
v
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
#s(literal -1 binary32)
#s(literal -1/3 binary32)
#s(literal 2 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32))
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v)
(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
#s(literal 1/120 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

Outputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 sinTheta_O v) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O)))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 sinTheta_O v) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O))))))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 sinTheta_O v) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O)))))
(.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)
(.f32 (/.f32 sinTheta_O v) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O))))
(/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v)
(/.f32 (*.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O))) v)
(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))
(*.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 sinTheta_i (neg.f32 v)) (/.f32 cosTheta_i sinTheta_O)))
(/.f32 cosTheta_O sinTheta_O)
cosTheta_O
sinTheta_O
cosTheta_i
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i)
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(neg.f32 cosTheta_i)
sinTheta_i
v
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
cosTheta_O
(/.f32 cosTheta_i (*.f32 v v))
(/.f32 (/.f32 cosTheta_i v) v)
cosTheta_i
(*.f32 v v)
v
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32)) (neg.f32 v))
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32))
(-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v) #s(literal 2 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
(/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) v) v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
(-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
#s(literal -1 binary32)
#s(literal -1/3 binary32)
#s(literal 2 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32)) (neg.f32 v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))
(.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32)) (neg.f32 v))
(-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32))
(-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32))
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v)
(/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v)
(/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v)
(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
(-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
#s(literal 1/120 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(neg.f32 v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize200.0ms (2%)

Memory

3.0MiB live, 286.8MiB allocated; 38ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
accuracy	0.16796875	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.23828125	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.3046875	(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
accuracy	0.35546875	(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
accuracy	0.6751938476844204	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
accuracy	17.179812153279613	#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
accuracy	0.3125	(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
accuracy	0.35546875	(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
accuracy	0.6751938476844204	(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
accuracy	17.179812153279613	#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.0390625	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
accuracy	0.11328125	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	12.172074848812564	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
accuracy	0.2265625	(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.32061256092597984	(/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v)
accuracy	0.8635892954208343	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

131.0ms

256×

valid

Compiler

Compiled 536 to 74 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 41.0ms (38.6% of total)

ival-mult: 29.0ms (27.3% of total)

const: 13.0ms (12.2% of total)

ival-exp: 7.0ms (6.6% of total)

ival-sinh: 5.0ms (4.7% of total)

ival-sub: 4.0ms (3.8% of total)

ival-add: 3.0ms (2.8% of total)

ival-neg: 3.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory

47.7MiB live, 140.9MiB allocated; 6ms collecting garbage

Counts

29 → 111

Calls

Call 1

Inputs
(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(/.f32 cosTheta_i v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))

Outputs
(* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O))) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))) v))
(* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_O (pow v 2))
(/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O))) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))) v))
(/ (* cosTheta_O cosTheta_i) sinTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O cosTheta_i) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i v)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) sinTheta_O)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ -1/60 (pow v 2))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 2))
(/ -1/120 (pow v 2))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) (pow v 2))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 1/60 (pow v 2))
(/ -1/60 (pow v 4))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 5))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 5))
(/ (+ 1/120 (* (pow v 2) (+ 1/6 (pow v 2)))) (pow v 5))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
-1/3
(* -1 (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
-1/6
(* -1 (+ 1/6 (* 1/120 (/ 1 (pow v 2)))))
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ -1/3 (pow v 2))
(* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	cosTheta_O	@	0	((+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (/ cosTheta_i (* v v))) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* cosTheta_O (/ cosTheta_i (* v v))) (+ (* (/ 1/120 (* v v)) -1) -1/6) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (* (sinh (/ 1 v)) 2)) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (sinh (/ 1 v)) (/ (+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (* (* (sinh (/ 1 v)) 2) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (sinh (/ 1 v)) (/ 1/120 (* v v)) (/ (- (/ (/ (+ (* (/ 1/120 (* v v)) -1) -1/6) v) v) 1) (neg v)))
8.0ms	cosTheta_i	@	inf	((+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (/ cosTheta_i (* v v))) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* cosTheta_O (/ cosTheta_i (* v v))) (+ (* (/ 1/120 (* v v)) -1) -1/6) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (* (sinh (/ 1 v)) 2)) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (sinh (/ 1 v)) (/ (+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (* (* (sinh (/ 1 v)) 2) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (sinh (/ 1 v)) (/ 1/120 (* v v)) (/ (- (/ (/ (+ (* (/ 1/120 (* v v)) -1) -1/6) v) v) 1) (neg v)))
7.0ms	cosTheta_i	@	-inf	((+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (/ cosTheta_i (* v v))) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* cosTheta_O (/ cosTheta_i (* v v))) (+ (* (/ 1/120 (* v v)) -1) -1/6) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (* (sinh (/ 1 v)) 2)) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (sinh (/ 1 v)) (/ (+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (* (* (sinh (/ 1 v)) 2) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (sinh (/ 1 v)) (/ 1/120 (* v v)) (/ (- (/ (/ (+ (* (/ 1/120 (* v v)) -1) -1/6) v) v) 1) (neg v)))
7.0ms	cosTheta_O	@	-inf	((+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (/ cosTheta_i (* v v))) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* cosTheta_O (/ cosTheta_i (* v v))) (+ (* (/ 1/120 (* v v)) -1) -1/6) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (* (sinh (/ 1 v)) 2)) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (sinh (/ 1 v)) (/ (+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (* (* (sinh (/ 1 v)) 2) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (sinh (/ 1 v)) (/ 1/120 (* v v)) (/ (- (/ (/ (+ (* (/ 1/120 (* v v)) -1) -1/6) v) v) 1) (neg v)))
6.0ms	cosTheta_i	@	0	((+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (+ (* (/ 1/60 (* v v)) -1) -1/3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (/ cosTheta_i (* v v))) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* cosTheta_O (/ cosTheta_i (* v v))) (+ (* (/ 1/120 (* v v)) -1) -1/6) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (* cosTheta_i cosTheta_O) v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (* (sinh (/ 1 v)) 2)) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (sinh (/ 1 v)) (/ (+ (* (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (* (* (sinh (/ 1 v)) 2) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ 1/60 (* v v)) (/ (+ (* (/ 1/60 (* v v)) -1) -1/3) (* v v)) (sinh (/ 1 v)) (/ 1/120 (* v v)) (/ (- (/ (/ (+ (* (/ 1/120 (* v v)) -1) -1/6) v) v) 1) (neg v)))

simplify159.0ms (1.6%)

Memory

-23.0MiB live, 204.8MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	2344
1	1897	2250
0	8272	2151

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 111

Calls

Call 1

Inputs
(* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O))) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))) v))
(* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_O (pow v 2))
(/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O))) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))) v))
(/ (* cosTheta_O cosTheta_i) sinTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O cosTheta_i) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i v)))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) sinTheta_O)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ -1/60 (pow v 2))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 2))
(/ -1/120 (pow v 2))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) sinTheta_O)) (pow v 2))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 1/60 (pow v 2))
(/ -1/60 (pow v 4))
(/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 5))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 5))
(/ (+ 1/120 (* (pow v 2) (+ 1/6 (pow v 2)))) (pow v 5))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
-1/3
(* -1 (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
-1/6
(* -1 (+ 1/6 (* 1/120 (/ 1 (pow v 2)))))
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ -1/3 (pow v 2))
(* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))

Outputs
(* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O)))
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) cosTheta_O)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O)) v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (-.f32 cosTheta_O (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_O)) cosTheta_i) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (/ cosTheta_O sinTheta_O))) v)
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) (/.f32 cosTheta_O v))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O (neg.f32 cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v))) v))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))
(* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) cosTheta_O)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) cosTheta_O) v)
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O))) v)
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) (/.f32 cosTheta_O v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))) v))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))
(/ (* cosTheta_O cosTheta_i) sinTheta_O)
(*.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) cosTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (/.f32 (.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) v) (.f32 (.f32 sinTheta_i #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) v) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32))))))
(/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))
(/.f32 (*.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (/.f32 cosTheta_i sinTheta_O)) (/.f32 cosTheta_O v))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))
(.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))))
(.f32 (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) sinTheta_O) cosTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v))) sinTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i sinTheta_i) (.f32 (neg.f32 cosTheta_O) (*.f32 sinTheta_O (/.f32 (/.f32 cosTheta_i v) v)))) sinTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 sinTheta_i (/.f32 cosTheta_i v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i v)))))
(.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v sinTheta_i)) (/.f32 cosTheta_i sinTheta_O) (*.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 cosTheta_i v))) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O cosTheta_i) v))))
(.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))))
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#s(literal -1/3 binary32)
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#s(literal -1/6 binary32)
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2
#s(literal 2 binary32)
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(/ 2 v)
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(/ -1/3 (pow v 2))
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(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
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(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O)) v))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) cosTheta_O) #s(literal -7/720 binary32) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v)))) (neg.f32 v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 #s(literal 1/1680 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/4320 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) v) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/840 binary32) (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))))) (.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v)))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) v))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))

rewrite246.0ms (2.4%)

Memory

46.1MiB live, 191.1MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	580
0	128	570
1	415	561
0	2704	561

Stop Event

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

Counts

29 → 318

Calls

Call 1

Inputs
(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O)))
#s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(/.f32 cosTheta_i v)
(fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))
(fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))

Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32))) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v) (.f32 sinTheta_O (.f32 (neg.f32 sinTheta_i) (.f32 (neg.f32 cosTheta_i) cosTheta_O)))) (*.f32 sinTheta_O (neg.f32 v)))
(/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) v (.f32 sinTheta_O (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)))) (*.f32 sinTheta_O v))
(/.f32 (fma.f32 (.f32 (neg.f32 sinTheta_i) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) sinTheta_O (.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O))) (*.f32 (neg.f32 v) sinTheta_O))
(/.f32 (fma.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) sinTheta_O (.f32 v (.f32 cosTheta_i cosTheta_O))) (*.f32 v sinTheta_O))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32))) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v)))) (/.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v)))))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v)))
(-.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (/.f32 sinTheta_i v)))
(-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O sinTheta_O)))
(-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (*.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) cosTheta_i))
(fma.f32 (/.f32 sinTheta_i v) (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(fma.f32 sinTheta_i (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 sinTheta_i v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i cosTheta_O) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(fma.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 sinTheta_i v)) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))
(fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))
(fma.f32 cosTheta_O (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v)) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)))
(+.f32 (/.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 3 binary32)) (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)))))
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(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v)) (.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v))) (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (/.f32 (/.f32 (.f32 sinTheta_i (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v)))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (-.f32 (.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v)) (.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v)))) v)
(/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v (.f32 v (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32))) (.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v))) v))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 3 binary32))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))) (neg.f32 v))
(/.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v)) v)
(fma.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (/.f32 sinTheta_i v) v) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v))
(fma.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O sinTheta_O) v) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v))
(fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v))
(+.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v))
(+.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) v) (/.f32 (/.f32 (.f32 sinTheta_i (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) v))
(neg.f32 (/.f32 (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v))) v))
(neg.f32 (/.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v)) (neg.f32 v)))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
(.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 (neg.f32 v) v)))
(/.f32 (/.f32 #s(literal 1/60 binary32) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (/.f32 #s(literal 1/60 binary32) (neg.f32 v)) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 #s(literal 1/60 binary32) v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/60 binary32) v) v)
(/.f32 #s(literal -1/60 binary32) (*.f32 (neg.f32 v) v))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
(neg.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) (neg.f32 v)) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v)) (.f32 (/.f32 #s(literal -1/3 binary32) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))) (-.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1/3 binary32) (.f32 v v)) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (-.f32 (.f32 (/.f32 #s(literal -1/3 binary32) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v))) (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v))))))
(/.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v)) (neg.f32 v))
(/.f32 (neg.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)))) (.f32 v v))
(/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v)
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (.f32 (-.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)))
(/.f32 (+.f32 #s(literal -1/27 binary32) (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 3 binary32))) (.f32 (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal 2 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1/180 binary32) (.f32 v v))) (*.f32 v v)))
(/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 (neg.f32 v) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v))
(fma.f32 (/.f32 #s(literal -1 binary32) (fabs.f32 v)) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (fabs.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (fabs.f32 v)) (/.f32 #s(literal -1 binary32) (fabs.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) v) (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) (neg.f32 v)) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(+.f32 (/.f32 #s(literal -1/3 binary32) (.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v))
(+.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) v) v) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))
(neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 (neg.f32 v) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
(.f32 #s(literal 1/120 binary32) (/.f32 #s(literal -1 binary32) (.f32 (neg.f32 v) v)))
(/.f32 (/.f32 #s(literal 1/120 binary32) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (/.f32 #s(literal 1/120 binary32) (neg.f32 v)) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 #s(literal 1/120 binary32) v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/120 binary32) v) v)
(/.f32 #s(literal -1/120 binary32) (*.f32 (neg.f32 v) v))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(neg.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v))) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) v) (.f32 (neg.f32 v) #s(literal -1 binary32))) (.f32 (neg.f32 v) v))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (.f32 v v))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) (neg.f32 v)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v)) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32))) v)
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (.f32 v v)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) v))

eval46.0ms (0.5%)

Memory: 17.7MiB live, 66.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 22 958 to 2 360 computations (89.7% saved)

prune196.0ms (1.9%)

Memory

11.0MiB live, 151.7MiB allocated; 175ms collecting garbage

Pruning

83 alts after pruning (77 fresh and 6 done)

	Pruned	Kept	Total
New	368	37	405
Fresh	15	40	55
Picked	3	2	5
Done	0	4	4
Total	386	83	469

Accuracy

99.8%

Counts

469 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	61.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
	62.0%	(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
	8.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	73.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	73.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (/.f32 (fma.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) sinTheta_O (.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 v sinTheta_O)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	81.3%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32))) (.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v))) v)) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/.f32 (-.f32 (/.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) sinTheta_O) (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O)) v)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) sinTheta_O) cosTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v))) sinTheta_i)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.9%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	89.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 #s(approx (/ (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v) (.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) sinTheta_O) v))))) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 #s(approx (/ (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	67.8%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
✓	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	67.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
	67.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	67.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	67.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
	73.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) cosTheta_O))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v)))))
	98.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	73.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
✓	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
✓	62.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	61.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
	61.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))

Compiler

Compiled 10 281 to 3 662 computations (64.4% saved)

regimes254.0ms (2.5%)

Memory

3.3MiB live, 278.0MiB allocated; 46ms collecting garbage

Counts

129 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 #s(approx (/ (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (/.f32 (fma.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) sinTheta_O (.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 v sinTheta_O)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (/.f32 (-.f32 (/.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) sinTheta_O) (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O)) v)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) sinTheta_O) cosTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v))) sinTheta_i)) v) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (.f32 (/.f32 (.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v)))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 #s(approx (/ (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v) (.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) sinTheta_O) v))))) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (.f32 v v)) sinTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) v)
(/.f32 (/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_i (.f32 (neg.f32 cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32))) (.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 sinTheta_i v))) v)) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (fma.f32 (/.f32 cosTheta_O v) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

36.0ms	cosTheta_i
36.0ms	v
32.0ms	sinTheta_O
32.0ms	sinTheta_i
29.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes200.0ms (2%)

Memory

13.7MiB live, 238.0MiB allocated; 33ms collecting garbage

Counts

99 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 #s(approx (/ (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) v) (.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)) v))) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

29.0ms	sinTheta_i
26.0ms	v
26.0ms	cosTheta_i
26.0ms	(*.f32 cosTheta_i cosTheta_O)
24.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes251.0ms (2.5%)

Memory

-9.8MiB live, 233.4MiB allocated; 103ms collecting garbage

Counts

95 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) v)) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (*.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

69.0ms	(*.f32 cosTheta_i cosTheta_O)
33.0ms	v
28.0ms	cosTheta_O
28.0ms	sinTheta_i
24.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes190.0ms (1.9%)

Memory

-5.7MiB live, 230.1MiB allocated; 33ms collecting garbage

Counts

92 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (/.f32 cosTheta_i sinTheta_O) cosTheta_O)) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Calls

8 calls:

27.0ms	cosTheta_i
27.0ms	v
27.0ms	sinTheta_O
25.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes140.0ms (1.4%)

Memory

-1.3MiB live, 188.1MiB allocated; 10ms collecting garbage

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Calls

8 calls:

20.0ms	cosTheta_i
19.0ms	sinTheta_O
18.0ms	sinTheta_i
17.0ms	v
17.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes168.0ms (1.7%)

Memory

4.9MiB live, 143.0MiB allocated; 21ms collecting garbage

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Calls

8 calls:

40.0ms	cosTheta_i
18.0ms	sinTheta_i
16.0ms	v
16.0ms	cosTheta_O
15.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes181.0ms (1.8%)

Memory

52.8MiB live, 183.7MiB allocated; 25ms collecting garbage

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))

Outputs

(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (*.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))

Calls

8 calls:

65.0ms	sinTheta_O
22.0ms	cosTheta_O
18.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
15.0ms	cosTheta_i
15.0ms	v

Results

Accuracy	Segments	Branch
73.9%	1	`sinTheta_i`
73.9%	1	`sinTheta_O`
73.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
73.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
73.9%	1	`cosTheta_i`
73.9%	1	`cosTheta_O`
73.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes137.0ms (1.4%)

Memory

-19.1MiB live, 181.8MiB allocated; 27ms collecting garbage

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))

Outputs

(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (*.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))

Calls

8 calls:

28.0ms	v
18.0ms	cosTheta_O
16.0ms	sinTheta_O
15.0ms	cosTheta_i
15.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
73.9%	1	`sinTheta_i`
73.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
73.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
73.9%	1	`sinTheta_O`
73.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.9%	1	`cosTheta_O`
73.9%	1	`cosTheta_i`
73.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes170.0ms (1.7%)

Memory

-14.6MiB live, 134.0MiB allocated; 9ms collecting garbage

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/60 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) v) (/.f32 #s(literal -1 binary32) v) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) (.f32 #s(literal 2 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 #s(approx (+ (* (/ 1/60 (* v v)) -1) -1/3) (/.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 v v) #s(literal -1/60 binary32)) v) v)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) v) (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (*.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 #s(literal 2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) (.f32 v v) (.f32 (.f32 v v) #s(literal -1/3 binary32))) (.f32 (.f32 v v) (*.f32 v v))) #s(literal 2 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) (neg.f32 v)) (.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))

Calls

8 calls:

43.0ms	sinTheta_i
38.0ms	cosTheta_O
18.0ms	v
15.0ms	sinTheta_O
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
73.9%	1	`cosTheta_O`
73.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
73.9%	1	`cosTheta_i`
73.9%	1	`sinTheta_i`
73.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
73.9%	1	`sinTheta_O`
73.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes57.0ms (0.6%)

Memory

22.0MiB live, 66.3MiB allocated; 5ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
73.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
73.9%	1	`cosTheta_O`
73.9%	1	`sinTheta_i`
73.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
73.9%	1	`cosTheta_i`
73.9%	1	`sinTheta_O`
73.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes55.0ms (0.5%)

Memory

0.1MiB live, 54.4MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (*.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))

Calls

8 calls:

15.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	cosTheta_i
6.0ms	sinTheta_O
6.0ms	sinTheta_i
6.0ms	v

Results

Accuracy	Segments	Branch
73.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
73.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
73.8%	1	`cosTheta_O`
73.8%	1	`sinTheta_O`
73.8%	1	`cosTheta_i`
73.8%	1	`sinTheta_i`
73.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
73.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes53.0ms (0.5%)

Memory

-3.8MiB live, 43.6MiB allocated; 2ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(approx (+ ( (/ 1/120 (* v v)) -1) -1/6) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Outputs

(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (*.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Calls

8 calls:

16.0ms	v
5.0ms	cosTheta_i
5.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
67.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.8%	1	`cosTheta_O`
67.8%	1	`sinTheta_i`
67.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.8%	1	`cosTheta_i`
67.8%	1	`sinTheta_O`
67.8%	1	`v`
67.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes42.0ms (0.4%)

Memory

-29.6MiB live, 61.0MiB allocated; 6ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)))))

Calls

8 calls:

8.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	sinTheta_i
5.0ms	cosTheta_i
5.0ms	cosTheta_O
5.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
67.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.8%	1	`sinTheta_O`
67.8%	1	`v`
67.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.8%	1	`cosTheta_i`
67.8%	1	`sinTheta_i`
67.8%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes37.0ms (0.4%)

Memory

-2.9MiB live, 50.4MiB allocated; 4ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))

Calls

8 calls:

7.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
4.0ms	cosTheta_i
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
67.7%	1	`v`
67.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.7%	1	`sinTheta_i`
67.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.7%	1	`cosTheta_O`
67.7%	1	`sinTheta_O`
67.7%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes34.0ms (0.3%)

Memory

-1.7MiB live, 44.0MiB allocated; 3ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))

Outputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))

Calls

8 calls:

6.0ms	sinTheta_O
4.0ms	sinTheta_i
4.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	v

Results

Accuracy	Segments	Branch
67.7%	1	`sinTheta_O`
67.7%	1	`v`
67.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.7%	1	`cosTheta_i`
67.7%	1	`cosTheta_O`
67.7%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes30.0ms (0.3%)

Memory

43.3MiB live, 43.3MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)))) v)))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))

Outputs
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
62.0%	1	`sinTheta_O`
62.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
62.0%	1	`v`
62.0%	1	`sinTheta_i`
62.0%	1	`cosTheta_i`
62.0%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes21.0ms (0.2%)

Memory

-29.5MiB live, 17.5MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))

Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))

Calls

8 calls:

10.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	sinTheta_O
2.0ms	cosTheta_i
1.0ms	v
1.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
62.0%	1	`sinTheta_O`
62.0%	1	`sinTheta_i`
62.0%	1	`v`
62.0%	1	`cosTheta_O`
62.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.0%	1	`cosTheta_i`
62.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify54.0ms (0.5%)

Memory

12.2MiB live, 57.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	842
1	300	841
2	725	814
3	2982	798

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))

Outputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 #s(approx (+ ( (/ cosTheta_O sinTheta_O) cosTheta_i) (/ (* (* (neg cosTheta_i) cosTheta_O) sinTheta_i) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (/.f32 (neg.f32 cosTheta_O) sinTheta_O)))) v) sinTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) v)) v) sinTheta_O))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 v #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (/ (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v) (.f32 cosTheta_i (/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)))) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
(/.f32 #s(approx (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)))

derivations658.0ms (6.5%)

Memory

9.2MiB live, 435.2MiB allocated; 56ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 842 to 177 computations (79% saved)

preprocess202.0ms (2%)

Memory

6.1MiB live, 233.5MiB allocated; 47ms collecting garbage

Remove

(negabs cosTheta_i)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 2 988 to 1 184 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.3s (13%)

sample2.3s (22.5%)

explain169.0ms (1.7%)

preprocess196.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify154.0ms (1.5%)

localize40.0ms (0.4%)

series138.0ms (1.4%)

simplify226.0ms (2.2%)

rewrite45.0ms (0.4%)

eval51.0ms (0.5%)

prune14.0ms (0.1%)

simplify108.0ms (1.1%)

localize199.0ms (2%)

series159.0ms (1.6%)

simplify157.0ms (1.6%)

rewrite66.0ms (0.7%)

eval42.0ms (0.4%)

prune61.0ms (0.6%)

simplify116.0ms (1.2%)

localize144.0ms (1.4%)

series83.0ms (0.8%)

simplify176.0ms (1.7%)

rewrite79.0ms (0.8%)

eval35.0ms (0.3%)

prune69.0ms (0.7%)

simplify126.0ms (1.2%)

localize200.0ms (2%)

series82.0ms (0.8%)

simplify159.0ms (1.6%)

rewrite246.0ms (2.4%)

eval46.0ms (0.5%)

prune196.0ms (1.9%)

regimes254.0ms (2.5%)

regimes200.0ms (2%)

regimes251.0ms (2.5%)

regimes190.0ms (1.9%)

regimes140.0ms (1.4%)

regimes168.0ms (1.7%)

regimes181.0ms (1.8%)

regimes137.0ms (1.4%)

regimes170.0ms (1.7%)

regimes57.0ms (0.6%)

regimes55.0ms (0.5%)

regimes53.0ms (0.5%)

regimes42.0ms (0.4%)

regimes37.0ms (0.4%)

regimes34.0ms (0.3%)

regimes30.0ms (0.3%)

regimes21.0ms (0.2%)

simplify54.0ms (0.5%)

derivations658.0ms (6.5%)

preprocess202.0ms (2%)

end0.0ms (0%)

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