Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze846.0ms (5.7%)

Memory

9.4MiB live, 607.6MiB allocated

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)

sample2.9s (19.6%)

Memory

48.5MiB live, 2 761.8MiB allocated

Samples

2.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 835.0ms (43.7% of total)

const: 270.0ms (14.1% of total)

ival-div: 242.0ms (12.7% of total)

ival-<=: 207.0ms (10.8% of total)

ival-exp: 139.0ms (7.3% of total)

ival-sinh: 86.0ms (4.5% of total)

ival-and: 50.0ms (2.6% of total)

ival-neg: 41.0ms (2.1% of total)

ival-<: 22.0ms (1.2% of total)

exact: 15.0ms (0.8% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain218.0ms (1.5%)

Memory

-7.3MiB live, 279.6MiB allocated

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))`
2	(3.398074706775242e-18 5.923109095399136e-23 -1.5186354449648844e-17 -3.595325719255538e-29 0.2652226984500885)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(-1.1484717105273925e-30 -2.605787277340304e-16 4.638843541699329e-23 -5.3931618367589163e-33 0.13292977213859558)	-	`(/.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	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	97
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	92

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	252

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

87.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 27.0ms (51.5% of total)

ival-div: 13.0ms (24.8% of total)

ival-sinh: 5.0ms (9.5% of total)

ival-exp: 4.0ms (7.6% of total)

ival-neg: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess179.0ms (1.2%)

Memory

-25.5MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	575	449
2	2202	420
0	19	22
0	31	22
1	71	22
2	219	21
3	1057	21
4	5884	21
0	8364	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 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.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)

simplify122.0ms (0.8%)

Memory

4.6MiB live, 149.1MiB allocated

Algorithm

1×	egg-herbie

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	219	90
3	1057	90
4	5884	90
0	8364	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 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i 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)

localize45.0ms (0.3%)

Memory

24.1MiB live, 70.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23179628907376806	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2772801023150756	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

35.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 10.0ms (42.4% of total)

ival-mult: 7.0ms (29.7% of total)

ival-exp: 2.0ms (8.5% of total)

ival-sinh: 2.0ms (8.5% of total)

ival-neg: 1.0ms (4.2% 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 (0.6%)

Memory

-7.8MiB live, 91.3MiB allocated

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
24.0ms	cosTheta_i	@	-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))
12.0ms	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))
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))
5.0ms	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))
4.0ms	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))

simplify220.0ms (1.5%)

Memory

5.4MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280

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

rewrite179.0ms (1.2%)

Memory

17.7MiB live, 211.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68

Stop Event

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

Counts

8 → 588

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 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) cosTheta_i)
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_O v))
(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (pow.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 cosTheta_O cosTheta_i))) v)))
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(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) cosTheta_O) (/.f32 cosTheta_i v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) cosTheta_i) (/.f32 cosTheta_O v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 cosTheta_O v)) cosTheta_i (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 cosTheta_O v)) cosTheta_i (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.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 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) 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) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (neg.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) #s(literal 2 binary32)))
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(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) v) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (neg.f32 v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
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(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
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(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(.f32 (neg.f32 v) (.f32 (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))) (/.f32 (*.f32 #s(literal -2 binary32) v) #s(literal -2 binary32)))
(.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)) (neg.f32 (.f32 #s(literal -2 binary32) v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 v (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 (-.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)))) v)) (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.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)))) v)) (neg.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (neg.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))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 v (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 v (-.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)))))) (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 v (-.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 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 2 binary32))
(/.f32 (.f32 (-.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)))) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.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)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.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))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (.f32 v (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 v (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 v (-.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 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) 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))
(neg.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_i v) (log.f32 (exp.f32 sinTheta_O)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O (neg.f32 (/.f32 (neg.f32 sinTheta_i) v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (log.f32 (exp.f32 (/.f32 sinTheta_O v))))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v))
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (+.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (cosh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))
(-.f32 (log.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))))) (log.f32 #s(literal 2 binary32)))
(-.f32 #s(literal 0 binary32) (log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(+.f32 (log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))))
(neg.f32 (log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(neg.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))

eval98.0ms (0.7%)

Memory: -41.2MiB live, 104.8MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune50.0ms (0.3%)

Memory

22.0MiB live, 68.5MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	607	27	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	608	27	635

Accuracy

99.7%

Counts

635 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))
	97.8%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
▶	98.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	65.8%	(/.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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.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))
	98.2%	(/.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))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.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))
▶	98.7%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.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))
	98.7%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	98.8%	(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
	98.6%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
	98.7%	(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	98.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	58.8%	#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))
	58.8%	#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)))
	98.3%	#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)))))
	60.1%	#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))
▶	60.0%	#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)))

Compiler

Compiled 1 714 to 1 314 computations (23.3% saved)

simplify147.0ms (1%)

Memory

-1.6MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	776
0	116	776
1	261	776
2	894	770
3	5220	770
0	8123	762

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (1.7%)

Memory

-28.9MiB live, 295.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3365376218519596	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2772801023150756	(/.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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v)
accuracy	0.35546875	(*.f32 #s(literal -1/6 binary32) cosTheta_O)
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.23179628907376806	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2772801023150756	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2772801023150756	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	12.79164108549024	#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	0.1015625	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.30859375	(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.38900375976844204	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

156.0ms

256×

valid

Compiler

Compiled 663 to 61 computations (90.8% saved)

Precisions

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

ival-mult: 60.0ms (48.1% of total)

ival-div: 23.0ms (18.4% of total)

ival-sub: 18.0ms (14.4% of total)

ival-pow: 9.0ms (7.2% of total)

ival-exp: 4.0ms (3.2% of total)

const: 4.0ms (3.2% of total)

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

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

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series399.0ms (2.7%)

Memory

-17.1MiB live, 455.3MiB allocated

Counts

24 → 150

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_i v)
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) 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 #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 (.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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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 (-.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_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 (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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) 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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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_O sinTheta_i) v)
(*.f32 #s(literal -1/6 binary32) cosTheta_O)

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_i (- (+ cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_i (- (+ cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(* -1 (* cosTheta_i (- (+ (* -1 cosTheta_O) (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_i (- (+ (* -1 cosTheta_O) (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(* cosTheta_O (- (+ cosTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_O (- (+ cosTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(* -1/6 cosTheta_O)
(* -1 (* cosTheta_O (- (+ (* -1 cosTheta_i) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1 cosTheta_i) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) 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)))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 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 sinTheta_O)) v))))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))
(* (pow sinTheta_i 3) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 2))))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow sinTheta_i 2) v))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 2)))))))
(* (pow sinTheta_i 3) (- (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 2)))) (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow sinTheta_i 2) v))))
(* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 4)))
(* (pow sinTheta_i 3) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 3))))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow sinTheta_i 2) (pow v 2)))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 3)))))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow sinTheta_i 2) (pow v 2)))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 3) v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(* -1 (* (pow sinTheta_i 3) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 2)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))) sinTheta_i)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))) sinTheta_i)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* sinTheta_i (pow v 3)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))) sinTheta_i)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))) sinTheta_i)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))
(+ (* 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_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (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 (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 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))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* (pow sinTheta_O 3) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 2))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 2) v))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 2)))))))
(* (pow sinTheta_O 3) (- (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 2)))) (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 3)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 2) v))))
(* (pow sinTheta_O 3) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 3))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 2) (pow v 2)))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 3)))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 2) (pow v 2)))) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 3)))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) v))))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(* -1 (* (pow sinTheta_O 3) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 2)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))) sinTheta_O)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))) sinTheta_O)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 3))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* sinTheta_O (pow v 3)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))) sinTheta_O)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))) sinTheta_O)) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) v)))))) (pow v 3))
(/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 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 3))
(/ (+ (* -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 v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))) (pow v 3))
(/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) v)))))) (pow v 4))
(/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 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 4))
(/ (+ (* -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 (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))))) (pow v 4))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (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)
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))) v)
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(/ (+ (* -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))))))
(+ (* -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 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 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)))))) 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 (/ (+ (* -1/2 (* 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 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_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 (/ (+ (* -1/2 (/ (* 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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) 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
117.0ms	cosTheta_i	@	0	((* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* 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)) (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_O sinTheta_i) v) (* -1/6 cosTheta_O))
72.0ms	sinTheta_O	@	inf	((* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* 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)) (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_O sinTheta_i) v) (* -1/6 cosTheta_O))
39.0ms	sinTheta_O	@	-inf	((* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* 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)) (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_O sinTheta_i) v) (* -1/6 cosTheta_O))
39.0ms	cosTheta_i	@	-inf	((* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* 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)) (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_O sinTheta_i) v) (* -1/6 cosTheta_O))
23.0ms	cosTheta_O	@	0	((* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* 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)) (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_O sinTheta_i) v) (* -1/6 cosTheta_O))

simplify189.0ms (1.3%)

Memory

26.8MiB live, 217.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	866	4964
1	3228	4872
0	8373	4668

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 150

Calls

Call 1

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

rewrite299.0ms (2%)

Memory

-17.4MiB live, 254.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	455
0	116	455
1	363	455
2	2222	447
0	8141	447

Stop Event

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

Counts

24 → 873

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_i v)
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) 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 #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 (.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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) 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 (-.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_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 (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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) 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 (-.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_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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_O sinTheta_i) v)
(*.f32 #s(literal -1/6 binary32) cosTheta_O)

Outputs
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v)))) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) (*.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) (neg.f32 v)))
(.f32 (/.f32 (neg.f32 cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_O #s(literal 2 binary32)))
(.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (neg.f32 v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 2 binary32)))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (neg.f32 v)))
(.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
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(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) cosTheta_i)
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) cosTheta_O)
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O))
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(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v))
(.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))))
(.f32 cosTheta_O (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i))
(/.f32 (neg.f32 (.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 cosTheta_i cosTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))))) (neg.f32 (neg.f32 v)))
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(/.f32 (.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
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(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
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(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)))
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(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(+.f32 (/.f32 (.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(+.f32 (/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(neg.f32 (.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (neg.f32 v))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)
(-.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v))
(+.f32 (/.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) v) (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v))
(+.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) v))
(neg.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) v))
(neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #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)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) (neg.f32 (neg.f32 (neg.f32 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 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 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 (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(/.f32 (neg.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))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) #s(literal 4 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))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #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))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (exp.f32 (log.f32 sinTheta_O)) (exp.f32 (log.f32 (/.f32 sinTheta_i v))))
(*.f32 (exp.f32 (log.f32 sinTheta_i)) (exp.f32 (log.f32 (/.f32 sinTheta_O v))))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (exp.f32 (log.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (exp.f32 (log.f32 (neg.f32 v))))
(/.f32 (exp.f32 (log.f32 (*.f32 sinTheta_i sinTheta_O))) (exp.f32 (log.f32 v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_i 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_i sinTheta_O) v)
(+.f32 (cosh.f32 (log.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (log.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (log.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
(*.f32 cosTheta_O #s(literal -1/6 binary32))

eval119.0ms (0.8%)

Memory: 15.6MiB live, 199.2MiB allocated
Compiler: Compiled 52 207 to 3 949 computations (92.4% saved)

prune58.0ms (0.4%)

Memory

10.9MiB live, 163.9MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	913	32	945
Fresh	15	7	22
Picked	4	1	5
Done	0	0	0
Total	932	40	972

Accuracy

99.7%

Counts

972 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.9%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))) cosTheta_O) v)
	98.4%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v)
▶	98.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	72.0%	(/.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 #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))
	65.8%	(/.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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	65.8%	(/.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.0%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.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))
	98.4%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i 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 (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (.f32 cosTheta_i (/.f32 (-.f32 (+.f32 (fma.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) 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))
▶	98.9%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
▶	98.4%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	98.6%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.8%	(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
	98.2%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.2%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	60.0%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	98.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	98.3%	#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)))))
	60.1%	#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) #s(literal 1/2 binary32)) v))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
▶	60.0%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	60.0%	#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)))
	98.3%	#s(approx (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 2 594 to 1 980 computations (23.7% saved)

simplify147.0ms (1%)

Memory

-7.4MiB live, 185.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	508
0	106	508
1	224	508
2	709	506
3	3570	504
4	7719	504
0	8278	504

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.3%)

Memory

4.0MiB live, 237.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3365376218519596	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19140625	(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.23179628907376806	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.24675751953688405	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.23179628907376806	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.24609375	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
accuracy	0.2890625	(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.0	(*.f32 #s(literal 1/2 binary32) cosTheta_i)
accuracy	0.11328125	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v))
accuracy	12.79164108549024	#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)))
accuracy	0.2421875	(/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
accuracy	0.24609375	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)
accuracy	0.29296875	(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O)
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

146.0ms

256×

valid

Compiler

Compiled 424 to 59 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 61.0ms (52.7% of total)

ival-div: 29.0ms (25% of total)

ival-pow: 9.0ms (7.8% of total)

ival-exp: 8.0ms (6.9% of total)

ival-neg: 4.0ms (3.5% of total)

ival-sinh: 3.0ms (2.6% of total)

ival-sub: 1.0ms (0.9% 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)

series440.0ms (3%)

Memory

22.2MiB live, 542.1MiB allocated

Counts

27 → 133

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
128.0ms	sinTheta_i	@	inf	((* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (* (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* 2 v))) (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v) (/ cosTheta_i (* (sinh (/ 1 v)) v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
49.0ms	cosTheta_O	@	-inf	((* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (* (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* 2 v))) (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v) (/ cosTheta_i (* (sinh (/ 1 v)) v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
48.0ms	cosTheta_i	@	0	((* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (* (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* 2 v))) (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v) (/ cosTheta_i (* (sinh (/ 1 v)) v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
41.0ms	cosTheta_i	@	inf	((* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (* (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* 2 v))) (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v) (/ cosTheta_i (* (sinh (/ 1 v)) v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
33.0ms	sinTheta_i	@	-inf	((* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_i) (/ cosTheta_O v)) (* 1/2 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (* (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* 2 v))) (/ (* (/ cosTheta_i v) cosTheta_O) (sinh (/ 1 v))) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (sinh (/ 1 v)) (* (sinh (/ 1 v)) v) (/ cosTheta_i (* (sinh (/ 1 v)) v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify201.0ms (1.4%)

Memory

34.8MiB live, 255.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	731	3370
1	2658	3227
0	8369	3078

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 132

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (.f32 #s(literal 2 binary32) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (-.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_i cosTheta_O) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (.f32 v v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (*.f32 v v)))) sinTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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_O sinTheta_i) 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) (/.f32 cosTheta_i 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 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) 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)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) 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_O v) (/.f32 cosTheta_i 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 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) 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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.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))
(* 1/2 (/ cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_O v)))
(.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 cosTheta_O sinTheta_O) v))) sinTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v v)) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 (neg.f32 sinTheta_O) (*.f32 v v))) sinTheta_i (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(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 4 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) (.f32 v v))) sinTheta_i (/.f32 #s(literal 1 binary32) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 cosTheta_i cosTheta_O))
(+ (* 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 (fma.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 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_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 cosTheta_i sinTheta_O) sinTheta_O) 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 cosTheta_i sinTheta_O) v))) sinTheta_i (.f32 cosTheta_i cosTheta_O))
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 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) 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 (/ (* 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 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) 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 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) 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 sinTheta_O v) (/.f32 cosTheta_i 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 cosTheta_i sinTheta_O) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(fma.f32 (/.f32 (neg.f32 sinTheta_O) v) sinTheta_i #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (*.f32 v v)))) sinTheta_O (/.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 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_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_O v) (/.f32 cosTheta_i 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 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.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))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 cosTheta_O sinTheta_i) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/12 binary32) cosTheta_O) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 cosTheta_O sinTheta_i) v))) sinTheta_O (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) (/.f32 (neg.f32 sinTheta_i) (*.f32 v v))) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) (.f32 v v))) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(+ (* 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 (fma.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 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_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 cosTheta_i sinTheta_i) v))) sinTheta_O (.f32 cosTheta_i cosTheta_O))
(+ 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))
(+ (* 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 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) 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 sinTheta_i v) (/.f32 cosTheta_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 cosTheta_i sinTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O)) sinTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (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))) (.f32 v 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)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
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(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -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)
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(/ (+ (* -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)
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(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O)))) v)
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(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
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(/ (+ 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)))))) v)
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(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))
(fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) v) (/.f32 cosTheta_i v) (.f32 cosTheta_i cosTheta_O))
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(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 cosTheta_i cosTheta_O)) v)
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(/ (+ (* -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)
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(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
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cosTheta_i
(+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2))))
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(- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2))))
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(- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2))))))
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(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.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)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(/.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
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(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(/.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O sinTheta_i) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
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(* -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))
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(* -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_O) #s(literal -1/2 binary32)) cosTheta_i (.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_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) cosTheta_O (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (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))) v))) v) #s(literal 1 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_O sinTheta_i) 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 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))) (neg.f32 v))) (neg.f32 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_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)))
(-.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))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i))))
(fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) v) (/.f32 cosTheta_i v) (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal 7/360 binary32) (*.f32 cosTheta_i cosTheta_O)))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 6))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* -1/5040 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/720 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i)))))))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32)))) #s(literal 1/840 binary32) (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal 7/360 binary32) (*.f32 cosTheta_i cosTheta_O))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 cosTheta_i cosTheta_O)) 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_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 (/ (+ (* -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_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_O) #s(literal -1/2 binary32)) cosTheta_i)) v))) v))) 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))
(+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))
(fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_i))
(+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 6))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (+ (* -1/5040 (/ cosTheta_i (pow v 6))) (+ (* 1/720 (/ cosTheta_i (pow v 6))) (* 1/36 (/ cosTheta_i (pow v 4)))))))))
(fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))) #s(literal 1/840 binary32) (*.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32))) cosTheta_i))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(.f32 (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)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(.f32 (neg.f32 v) (-.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))))

rewrite177.0ms (1.2%)

Memory

-35.0MiB live, 209.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	343
0	106	341
1	302	341
2	1494	318
0	8855	313

Stop Event

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

Counts

27 → 1 291

Calls

Call 1

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

Outputs
(.f32 (.f32 cosTheta_O (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (neg.f32 v)) (neg.f32 cosTheta_O))
(.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32))) (.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32))) (/.f32 cosTheta_O v)))
(.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 cosTheta_O v)))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O v)))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (/.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) cosTheta_O))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (neg.f32 v)))
(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))
(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) cosTheta_O)
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/.f32 (*.f32 (neg.f32 cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (neg.f32 v))
(/.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O) v)
(fma.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) cosTheta_O (.f32 (/.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) cosTheta_O))
(fma.f32 cosTheta_O (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v)))
(+.f32 (.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) cosTheta_O))
(+.f32 (.f32 cosTheta_O (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))
(neg.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (neg.f32 cosTheta_O) v)))
(.f32 (.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 #s(literal -2 binary32) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 #s(literal -2 binary32) v)) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 #s(literal -2 binary32) v)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32)))) (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))) (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 cosTheta_O v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 cosTheta_i v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
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(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (neg.f32 cosTheta_O) cosTheta_i)) (.f32 (neg.f32 v) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (neg.f32 cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(/.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O (*.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O (*.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 #s(literal -2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (neg.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v)))
(fma.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(fma.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(fma.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) v) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) v)))
(fma.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(fma.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) v) (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
(fma.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
(+.f32 (.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) v)) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) v)))
(+.f32 (.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(+.f32 (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))
(+.f32 (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -2 binary32) v))
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(neg.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 sinTheta_O v)) sinTheta_i)
(.f32 (.f32 #s(literal 1 binary32) (/.f32 sinTheta_i v)) sinTheta_O)
(.f32 (.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i)
(.f32 (.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O)
(.f32 (.f32 #s(literal -1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(.f32 (.f32 #s(literal -1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 (/.f32 sinTheta_i v) (.f32 sinTheta_O #s(literal 1 binary32)))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) (neg.f32 sinTheta_O))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 sinTheta_O (neg.f32 v)) (neg.f32 sinTheta_i))
(*.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i)
(.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal 1 binary32)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(.f32 sinTheta_i (.f32 (/.f32 sinTheta_O v) #s(literal 1 binary32)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(.f32 (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)) v)
(.f32 (.f32 (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 (neg.f32 v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal -2 binary32) v))
(.f32 #s(literal -2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (neg.f32 v) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))
(.f32 (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal -2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (*.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal -2 binary32) v))
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (neg.f32 v) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 v (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)))
(.f32 v (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 v (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (neg.f32 v) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 v v) (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 v v) (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (.f32 v v) (-.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 (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 2 binary32))) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 #s(literal -2 binary32) v) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 0 binary32)) #s(literal 0 binary32))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (*.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 v v #s(literal 0 binary32)))
(/.f32 (.f32 v (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 0 binary32)) #s(literal 0 binary32))
(/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 v v #s(literal 0 binary32)))
(/.f32 (.f32 (neg.f32 v) (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (neg.f32 v) (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (neg.f32 v) (-.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 (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 2 binary32))) #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal -2 binary32) (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 #s(literal -2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32)) #s(literal 0 binary32))
(/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 v v #s(literal 0 binary32)))
(/.f32 (.f32 v (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 v (-.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 (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 2 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) 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 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32))) (fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (-.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) 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 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 4 binary32))
(/.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32))
(-.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (neg.f32 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))
(fma.f32 (.f32 (neg.f32 v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (.f32 v v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) v (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(fma.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) 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))
(fma.f32 v (.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 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (neg.f32 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))
(neg.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

eval228.0ms (1.5%)

Memory: -9.6MiB live, 281.2MiB allocated
Compiler: Compiled 40 029 to 3 709 computations (90.7% saved)

prune106.0ms (0.7%)

Memory

14.5MiB live, 162.9MiB allocated

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	1 207	30	1 237
Fresh	20	14	34
Picked	4	1	5
Done	0	1	1
Total	1 231	46	1 277

Accuracy

99.8%

Counts

1 277 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
	98.0%	(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
	98.4%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	98.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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_O sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 (.f32 v v) (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
	72.1%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.f32 #s(literal 2 binary32) v))))
	65.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) v))))
	65.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
	72.1%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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)))))
	72.0%	(/.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 #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))
	65.8%	(/.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)) #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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
▶	98.2%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.4%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.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 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
	98.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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))))))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
	72.1%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	98.8%	(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
	98.3%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
	98.2%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.4%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
	98.3%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.4%	(.f32 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.7%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.3%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
▶	98.3%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	60.0%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	98.4%	(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.3%	#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)))))
	60.1%	#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) #s(literal 1/2 binary32)) v))
▶	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
✓	60.0%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	60.0%	#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)))
	98.3%	#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 3 188 to 2 336 computations (26.7% saved)

simplify136.0ms (0.9%)

Memory

-18.6MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) 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)))
cost-diff	0	(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
cost-diff	0	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff	2	(fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(/.f32 (/.f32 cosTheta_O v) v)
cost-diff	0	(.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
cost-diff	0	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff	0	(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))
cost-diff	0	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cost-diff	0	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 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_i v) cosTheta_O) #s(literal 1/2 binary32)))
cost-diff	2	(pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))
cost-diff	6	(fma.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)) (*.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))))
cost-diff	8	(fma.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)) (fma.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)) (*.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)))))
cost-diff	12	(*.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	906
0	135	870
1	305	858
2	1076	746
3	6227	714
0	8915	708

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32)))) v) (-.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal -1/4 binary32)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_O)
(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O)
(*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O (neg.f32 v))
sinTheta_O
(neg.f32 v)
v
cosTheta_O
#s(literal 2 binary32)
(/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32)))) (-.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal -1/4 binary32)))
cosTheta_i
(.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)
(*.f32 (/.f32 v (-.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal -1/4 binary32))) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (*.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))))))
(/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32))) (-.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal -1/4 binary32)))
(-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32)))
(pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal 3 binary32) v)) #s(literal 8 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 3 binary32)
(pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal -3 binary32) v)) #s(literal 8 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(fma.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)) (fma.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)) (*.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)))))
(-.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal -1/4 binary32))
(fma.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)) (*.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))))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 4 binary32)) #s(literal -1/4 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)))
#s(literal 1/4 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) #s(literal 1/2 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 v) #s(literal 1/2 binary32)) cosTheta_i))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
#s(literal 1/2 binary32)
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) cosTheta_i) (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (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 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) #s(literal 2 binary32)))
cosTheta_i
(.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
v
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(/.f32 sinTheta_i v)
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
(*.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 2 binary32)
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))) (fma.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) #s(literal 1 binary32))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) 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)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) #s(literal 1 binary32)))
(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))
(fma.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) #s(literal 1 binary32))
(/.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)
(/.f32 (.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) v)
(fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v))
(.f32 sinTheta_i (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)))
#s(literal -1 binary32)
sinTheta_i
(/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)
(.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32))
(.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O)
(*.f32 sinTheta_i sinTheta_i)
sinTheta_O
#s(literal 1/2 binary32)
v
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.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 (.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 2 binary32)

localize210.0ms (1.4%)

Memory

40.0MiB live, 374.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) 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))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2772801023150756	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.26953125	(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.32687052390695004	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))
accuracy	0.34765625	(.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.24609375	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
accuracy	0.2890625	(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.305945070164051	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
accuracy	0.8193804683780861	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.04296875	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
accuracy	0.09765625	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	12.79164108549024	#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) #s(literal 1/2 binary32)))
accuracy	0.6323014649057246	(pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))
accuracy	0.7397055238674509	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.7459527832848188	(pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))
accuracy	0.7521453313210693	(exp.f32 (/.f32 #s(literal 1 binary32) v))

Samples

129.0ms

256×

valid

Compiler

Compiled 828 to 73 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 37.0ms (36.2% of total)

ival-div: 35.0ms (34.2% of total)

ival-exp: 9.0ms (8.8% of total)

ival-pow: 9.0ms (8.8% of total)

ival-add: 5.0ms (4.9% of total)

ival-sinh: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series81.0ms (0.5%)

Memory

-12.5MiB live, 122.8MiB allocated

Counts

30 → 144

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* 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))))))))
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))))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 sinTheta_i)
(* sinTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1))
(+ (* -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 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (- (* 1/2 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (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))))))) (* 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)))))))
(+ (* 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))))))))
(+ 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))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 sinTheta_i) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) 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 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) v))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O))))
(* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v))))
(+ (* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v)))) (+ (* 1/4 (pow (exp (/ -1 v)) 2)) (* 1/4 (pow (exp (/ 1 v)) 2))))
(+ (* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v)))) (* 1/4 (pow (exp (/ -1 v)) 2)))
(* 1/8 (pow (exp (/ 1 v)) 3))
(/ (+ (* -1 (* sinTheta_i v)) (* 1/2 (* sinTheta_O (pow sinTheta_i 2)))) v)
(exp (/ 1 v))
(exp (/ -1 v))
(* 1/8 (pow (exp (/ -1 v)) 3))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1/4
3/4
(+ 3/4 (/ 1 (pow v 2)))
(+ 3/4 (+ (/ 1/3 (pow v 4)) (/ 1 (pow v 2))))
(+ 3/4 (+ (/ 1/3 (pow v 4)) (+ (/ 1 (pow v 2)) (* 2/45 (/ 1 (pow v 6))))))
1/2
(- 1/2 (* 1/2 (/ 1 v)))
(- (+ 1/2 (/ 1/2 (pow v 2))) (* 1/2 (/ 1 v)))
(- (+ 1/2 (/ 1/2 (pow v 2))) (+ (* 1/2 (/ 1 v)) (* 1/3 (/ 1 (pow v 3)))))
1/8
(+ 1/8 (* 3/8 (/ 1 v)))
(+ 1/8 (+ (/ 9/16 (pow v 2)) (* 3/8 (/ 1 v))))
(+ 1/8 (+ (/ 9/16 (pow v 2)) (+ (* 3/8 (/ 1 v)) (* 9/16 (/ 1 (pow v 3))))))
(/ (+ (* -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)) (+ (* 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 (+ (* -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))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (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 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)))))
(- 1/8 (* 3/8 (/ 1 v)))
(- (+ 1/8 (/ 9/16 (pow v 2))) (* 3/8 (/ 1 v)))
(- (+ 1/8 (/ 9/16 (pow v 2))) (+ (* 3/8 (/ 1 v)) (* 9/16 (/ 1 (pow v 3)))))
(/ 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 v)
(* 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)))))))
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))))))
(* 1/2 v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 v))) v)))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/3 (/ 1 v))) v))) v)))
(+ 1/8 (* -1 (/ (- (* -1 (/ (+ 9/16 (* 9/16 (/ 1 v))) v)) 3/8) 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 (/ (+ (* -1/2 (/ (* 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 (/ (+ (* -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 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) 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 (/ (+ 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)))
(+ 1/8 (* -1 (/ (- 3/8 (* 9/16 (/ 1 v))) v)))
(+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/16 (* 9/16 (/ 1 v))) v))) 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 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	v	@	0	((* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)) (+ (* (/ (exp (/ 1 v)) 2) (/ (exp (/ 1 v)) 2)) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)))) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (pow (/ (exp (/ 1 v)) 2) 3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* cosTheta_i cosTheta_O) (* cosTheta_i (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)))) (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2))) (/ (/ cosTheta_O v) v) (/ cosTheta_O v) (+ (* -1 sinTheta_i) (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) 1/2) 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (/ 1 v)) (exp (/ -1 v)) (pow (/ (exp (/ -1 v)) 2) 3) (sinh (/ 1 v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
8.0ms	v	@	inf	((* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)) (+ (* (/ (exp (/ 1 v)) 2) (/ (exp (/ 1 v)) 2)) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)))) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (pow (/ (exp (/ 1 v)) 2) 3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* cosTheta_i cosTheta_O) (* cosTheta_i (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)))) (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2))) (/ (/ cosTheta_O v) v) (/ cosTheta_O v) (+ (* -1 sinTheta_i) (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) 1/2) 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (/ 1 v)) (exp (/ -1 v)) (pow (/ (exp (/ -1 v)) 2) 3) (sinh (/ 1 v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
7.0ms	cosTheta_i	@	inf	((* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)) (+ (* (/ (exp (/ 1 v)) 2) (/ (exp (/ 1 v)) 2)) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)))) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (pow (/ (exp (/ 1 v)) 2) 3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* cosTheta_i cosTheta_O) (* cosTheta_i (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)))) (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2))) (/ (/ cosTheta_O v) v) (/ cosTheta_O v) (+ (* -1 sinTheta_i) (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) 1/2) 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (/ 1 v)) (exp (/ -1 v)) (pow (/ (exp (/ -1 v)) 2) 3) (sinh (/ 1 v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
7.0ms	sinTheta_i	@	inf	((* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)) (+ (* (/ (exp (/ 1 v)) 2) (/ (exp (/ 1 v)) 2)) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)))) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (pow (/ (exp (/ 1 v)) 2) 3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* cosTheta_i cosTheta_O) (* cosTheta_i (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)))) (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2))) (/ (/ cosTheta_O v) v) (/ cosTheta_O v) (+ (* -1 sinTheta_i) (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) 1/2) 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (/ 1 v)) (exp (/ -1 v)) (pow (/ (exp (/ -1 v)) 2) 3) (sinh (/ 1 v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	cosTheta_O	@	-inf	((* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)) (+ (* (/ (exp (/ 1 v)) 2) (/ (exp (/ 1 v)) 2)) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2)))) (+ (* (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (pow (/ (exp (/ 1 v)) 2) 3) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_i v) cosTheta_O) 1/2) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* cosTheta_i cosTheta_O) (* cosTheta_i (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)))) (* (/ (/ cosTheta_O v) v) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2))) (/ (/ cosTheta_O v) v) (/ cosTheta_O v) (+ (* -1 sinTheta_i) (/ (* (* (* sinTheta_i sinTheta_i) sinTheta_O) 1/2) 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)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp (/ 1 v)) (exp (/ -1 v)) (pow (/ (exp (/ -1 v)) 2) 3) (sinh (/ 1 v)) (* v (* (sinh (/ 1 v)) (* 2 v))) (* (sinh (/ 1 v)) (* 2 v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify209.0ms (1.4%)

Memory

25.0MiB live, 261.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	3489
1	2628	3351
0	8491	3221

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* 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))))))))
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))))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 sinTheta_i)
(* sinTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1))
(+ (* -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 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (- (* 1/2 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (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))))))) (* 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)))))))
(+ (* 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))))))))
(+ 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))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 sinTheta_i) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) 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 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i sinTheta_O)) (* 1/2 (/ (pow sinTheta_i 2) v))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O))))
(* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v))))
(+ (* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v)))) (+ (* 1/4 (pow (exp (/ -1 v)) 2)) (* 1/4 (pow (exp (/ 1 v)) 2))))
(+ (* 1/4 (* (exp (/ -1 v)) (exp (/ 1 v)))) (* 1/4 (pow (exp (/ -1 v)) 2)))
(* 1/8 (pow (exp (/ 1 v)) 3))
(/ (+ (* -1 (* sinTheta_i v)) (* 1/2 (* sinTheta_O (pow sinTheta_i 2)))) v)
(exp (/ 1 v))
(exp (/ -1 v))
(* 1/8 (pow (exp (/ -1 v)) 3))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1/4
3/4
(+ 3/4 (/ 1 (pow v 2)))
(+ 3/4 (+ (/ 1/3 (pow v 4)) (/ 1 (pow v 2))))
(+ 3/4 (+ (/ 1/3 (pow v 4)) (+ (/ 1 (pow v 2)) (* 2/45 (/ 1 (pow v 6))))))
1/2
(- 1/2 (* 1/2 (/ 1 v)))
(- (+ 1/2 (/ 1/2 (pow v 2))) (* 1/2 (/ 1 v)))
(- (+ 1/2 (/ 1/2 (pow v 2))) (+ (* 1/2 (/ 1 v)) (* 1/3 (/ 1 (pow v 3)))))
1/8
(+ 1/8 (* 3/8 (/ 1 v)))
(+ 1/8 (+ (/ 9/16 (pow v 2)) (* 3/8 (/ 1 v))))
(+ 1/8 (+ (/ 9/16 (pow v 2)) (+ (* 3/8 (/ 1 v)) (* 9/16 (/ 1 (pow v 3))))))
(/ (+ (* -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)) (+ (* 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 (+ (* -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))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (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 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)))))
(- 1/8 (* 3/8 (/ 1 v)))
(- (+ 1/8 (/ 9/16 (pow v 2))) (* 3/8 (/ 1 v)))
(- (+ 1/8 (/ 9/16 (pow v 2))) (+ (* 3/8 (/ 1 v)) (* 9/16 (/ 1 (pow v 3)))))
(/ 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 v)
(* 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)))))))
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))))))
(* 1/2 v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 v))) v)))
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/3 (/ 1 v))) v))) v)))
(+ 1/8 (* -1 (/ (- (* -1 (/ (+ 9/16 (* 9/16 (/ 1 v))) v)) 3/8) 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 (/ (+ (* -1/2 (/ (* 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 (/ (+ (* -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 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) 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 (/ (+ 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)))
(+ 1/8 (* -1 (/ (- 3/8 (* 9/16 (/ 1 v))) v)))
(+ 1/8 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/16 (* 9/16 (/ 1 v))) v))) 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 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))

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_O v) (/.f32 cosTheta_i 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)))))
(* 1/2 (/ (* 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_i v)
(/.f32 cosTheta_i v)
(* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.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)))) (/.f32 cosTheta_O (*.f32 v v)))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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_O sinTheta_i) 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) (/.f32 cosTheta_i 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 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) 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)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) 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_O v) (/.f32 cosTheta_i 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 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O 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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.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))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 cosTheta_O cosTheta_i))
(+ (* 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 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v))) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(+ (* 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 cosTheta_i sinTheta_O) v))) sinTheta_i (.f32 cosTheta_O cosTheta_i))
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 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) 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))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (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 sinTheta_O sinTheta_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)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_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)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 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 (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.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 (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 sinTheta_i)
(neg.f32 sinTheta_i)
(* sinTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1))
(.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1 binary32)) 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 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (/.f32 (*.f32 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) 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 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i 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_O cosTheta_i) v))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (/.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))) sinTheta_i (/.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))
(.f32 (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32))
(* (pow sinTheta_i 2) (- (* 1/2 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(.f32 (-.f32 (.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) sinTheta_i)) (*.f32 sinTheta_i sinTheta_i))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v)
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(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 cosTheta_O cosTheta_i)) v)
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(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1/2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O (/.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/12 binary32)) (/.f32 (.f32 #s(literal 1/12 binary32) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)))

rewrite213.0ms (1.4%)

Memory

-24.1MiB live, 169.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	438
0	111	420
1	387	401
2	2924	389
0	8313	389

Stop Event

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

Counts

30 → 769

Calls

Call 1

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

Outputs
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))) (fabs.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)) #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))) (fabs.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 4 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)))
(*.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)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)) #s(literal -2 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 4 binary32)))
(sqrt.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 0 binary32) v) #s(literal 2 binary32))) #s(literal 16 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -4 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -4 binary32))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (fabs.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (fabs.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal -4 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -4 binary32))
(/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -4 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -4 binary32))
(/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -4 binary32))
(/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 4 binary32))
(fabs.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 4 binary32))))
(fabs.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 4 binary32)))
(/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (+.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32))
(/.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32))
(/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 4 binary32))
(/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32))))) #s(literal 4 binary32))
(/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (+.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
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(.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i)
(.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) cosTheta_O)
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
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(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.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)) (.f32 #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 (fma.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.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))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #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))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #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))

eval224.0ms (1.5%)

Memory: 12.5MiB live, 196.8MiB allocated
Compiler: Compiled 62 129 to 5 970 computations (90.4% saved)

prune210.0ms (1.4%)

Memory

1.0MiB live, 288.6MiB allocated

Pruning

59 alts after pruning (54 fresh and 5 done)

	Pruned	Kept	Total
New	1 010	28	1 038
Fresh	13	26	39
Picked	2	3	5
Done	0	2	2
Total	1 025	59	1 084

Accuracy

99.9%

Counts

1 084 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
	98.0%	(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
	98.4%	(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 (.f32 v v) (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
	65.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
	72.1%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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)))))
	72.0%	(/.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 #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))
	98.7%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
✓	98.2%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	71.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #s(literal 2 binary32) v))))
	65.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
	65.8%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v #s(approx (* (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
	98.3%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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))))
	71.9%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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)))))
	98.4%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (/.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))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (*.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)))))) v)))
	98.0%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (fma.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)) (.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)))))) v)))
	72.5%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) #s(approx (+ ( (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))))) v)))
	73.9%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) #s(approx (+ ( (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))) v)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal 0 binary32) v) #s(literal 2 binary32))) #s(literal 16 binary32))) (/.f32 (-.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32)))) v)))
	98.6%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32))) v)))
	75.2%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(approx (pow (/ (exp (/ -1 v)) 2) 3) (-.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 #s(literal 3/8 binary32) (/.f32 (-.f32 #s(literal 9/16 binary32) (/.f32 #s(literal 9/16 binary32) v)) v)) v)))) (fma.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)) (fma.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)) (.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)))))) v)))
	98.7%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) #s(literal 8 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
	98.1%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3/2 binary32))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 3/2 binary32))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
	98.1%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
	72.1%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.5%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	98.3%	(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
	98.2%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
	98.1%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
	98.3%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
	98.4%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.6%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(.f32 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
	98.2%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.3%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.2%	(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.3%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	71.9%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
	60.0%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	98.4%	(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.3%	#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 v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	60.1%	#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) #s(literal 1/2 binary32)) v))
	60.1%	#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 1/2 binary32) cosTheta_O)) v))
✓	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
✓	60.0%	#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) cosTheta_i) (/.f32 cosTheta_O v)))
✓	60.0%	#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)))

Compiler

Compiled 6 687 to 2 299 computations (65.6% saved)

regimes317.0ms (2.1%)

Memory

21.0MiB live, 309.2MiB allocated

Counts

118 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
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(/.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))
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(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
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(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))) cosTheta_O) v)
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) #s(approx (+ ( (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) #s(approx (+ ( (/ (exp (/ -1 v)) 2) (/ (exp (/ -1 v)) 2)) (* (/ (exp (/ 1 v)) 2) (/ (exp (/ -1 v)) 2))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32))) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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))))))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(approx (pow (/ (exp (/ -1 v)) 2) 3) (-.f32 #s(literal 1/8 binary32) (/.f32 (-.f32 #s(literal 3/8 binary32) (/.f32 (-.f32 #s(literal 9/16 binary32) (/.f32 #s(literal 9/16 binary32) v)) v)) v)))) (fma.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)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) #s(literal 8 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 4 binary32)) #s(literal 2 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal 0 binary32) v) #s(literal 2 binary32))) #s(literal 16 binary32))) (/.f32 (-.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal 0 binary32) v))) #s(literal 4 binary32)))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3/2 binary32))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 3/2 binary32))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (fma.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)) (.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)))))) v)))
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (/.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))) (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.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)) (fma.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)) (*.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)))))) v)))

Outputs

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

Calls

8 calls:

66.0ms	v
50.0ms	sinTheta_O
46.0ms	(/.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))
42.0ms	cosTheta_i
30.0ms	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)

regimes261.0ms (1.8%)

Memory

-4.6MiB live, 324.0MiB allocated

Counts

101 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))

Outputs

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

Calls

8 calls:

49.0ms	cosTheta_O
44.0ms	(*.f32 sinTheta_i sinTheta_O)
41.0ms	sinTheta_O
30.0ms	cosTheta_i
27.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_O`
98.9%	1	`(*.f32 cosTheta_i cosTheta_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	`sinTheta_i`
98.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes285.0ms (1.9%)

Memory

-2.0MiB live, 332.0MiB allocated

Counts

97 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 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 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.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))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 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))) (-.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_O sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (*.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))) (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))) (/.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)) (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))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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))))
#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 (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)) (/.f32 cosTheta_i (.f32 (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_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i 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 (/ (+ (* (* -1/6 cosTheta_O) (* cosTheta_i (pow (/ (* sinTheta_O sinTheta_i) v) 3))) (+ (* cosTheta_O cosTheta_i) (/ (- (* (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) 1/2) (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) v))) v) (.f32 cosTheta_i (/.f32 (-.f32 (+.f32 (fma.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) 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 (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 (-.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_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 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) cosTheta_i) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))

Outputs

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

Calls

8 calls:

52.0ms	cosTheta_i
45.0ms	v
42.0ms	(*.f32 sinTheta_i sinTheta_O)
35.0ms	sinTheta_O
34.0ms	sinTheta_i

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)

regimes372.0ms (2.5%)

Memory

-8.4MiB live, 316.1MiB allocated

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

Outputs

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

Calls

8 calls:

91.0ms	(*.f32 sinTheta_i sinTheta_O)
67.0ms	sinTheta_O
65.0ms	cosTheta_O
41.0ms	v
36.0ms	cosTheta_i

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_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`cosTheta_i`
98.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes212.0ms (1.4%)

Memory

-2.1MiB live, 188.5MiB allocated

Counts

81 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 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 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.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))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 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))) (-.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_O sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (*.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))) (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))) (/.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)) (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))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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))))
#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 (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)) (/.f32 cosTheta_i (.f32 (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_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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))

Outputs

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

Calls

8 calls:

59.0ms	cosTheta_O
27.0ms	(/.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))
24.0ms	(*.f32 cosTheta_i cosTheta_O)
20.0ms	cosTheta_i
19.0ms	v

Results

Accuracy	Segments	Branch
98.7%	1	`sinTheta_O`
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	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes157.0ms (1.1%)

Memory

53.3MiB live, 332.8MiB allocated

Counts

78 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 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 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.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))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 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))) (-.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_O sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (*.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))) (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))) (/.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)) (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))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))) 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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))))
#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 (* cosTheta_O (* (/ cosTheta_i v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (/ cosTheta_i (* (sinh (/ 1 v)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i 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 v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.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 #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))

Calls

8 calls:

23.0ms	sinTheta_i
21.0ms	sinTheta_O
21.0ms	v
20.0ms	cosTheta_i
18.0ms	cosTheta_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)

regimes162.0ms (1.1%)

Memory

-23.2MiB live, 262.4MiB allocated

Counts

69 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 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 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.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))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 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))) (-.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_O sinTheta_i)) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (*.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))) (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))) (/.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 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) 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_O sinTheta_i)) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))

Calls

8 calls:

37.0ms	(/.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))
18.0ms	sinTheta_i
18.0ms	sinTheta_O
18.0ms	cosTheta_O
17.0ms	v

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)

regimes169.0ms (1.1%)

Memory

52.4MiB live, 308.6MiB allocated

Counts

66 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 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 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(neg.f32 (.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (*.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))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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_i sinTheta_O) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v) sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

33.0ms	cosTheta_i
25.0ms	(*.f32 sinTheta_i sinTheta_O)
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))
19.0ms	cosTheta_O
18.0ms	v

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.6%	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))`
98.6%	1	`cosTheta_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes150.0ms (1%)

Memory

-5.5MiB live, 193.0MiB allocated

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

Outputs

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

Calls

8 calls:

39.0ms	v
19.0ms	sinTheta_O
17.0ms	cosTheta_O
16.0ms	sinTheta_i
16.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.6%	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))`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes101.0ms (0.7%)

Memory

5.9MiB live, 141.9MiB allocated

Counts

46 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))

Outputs

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

Calls

8 calls:

15.0ms	sinTheta_i
15.0ms	v
14.0ms	(/.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))
12.0ms	sinTheta_O
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	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))`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes129.0ms (0.9%)

Memory

-14.4MiB live, 129.3MiB allocated

Counts

43 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.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_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal -2 binary32) v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)) cosTheta_O) (.f32 #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_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))

Calls

8 calls:

44.0ms	cosTheta_O
17.0ms	v
16.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	sinTheta_O
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	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))`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes83.0ms (0.6%)

Memory

27.3MiB live, 117.9MiB allocated

Counts

36 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) #s(literal 2 binary32)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)

Outputs

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

Calls

8 calls:

15.0ms	sinTheta_O
14.0ms	cosTheta_i
10.0ms	v
9.0ms	sinTheta_i
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	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))`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes111.0ms (0.8%)

Memory

-41.1MiB live, 107.4MiB allocated

Counts

33 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

42.0ms	sinTheta_i
17.0ms	v
11.0ms	cosTheta_i
9.0ms	sinTheta_O
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.4%	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))`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes79.0ms (0.5%)

Memory

35.7MiB live, 81.3MiB allocated

Counts

31 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (.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))) #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))

Outputs

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

Calls

8 calls:

23.0ms	cosTheta_O
8.0ms	sinTheta_i
8.0ms	v
8.0ms	sinTheta_O
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	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))`
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes81.0ms (0.6%)

Memory

-13.5MiB live, 80.3MiB allocated

Counts

29 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 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))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) v) cosTheta_O) 2) (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))

Outputs

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

Calls

8 calls:

23.0ms	v
14.0ms	sinTheta_i
8.0ms	sinTheta_O
8.0ms	cosTheta_i
8.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`cosTheta_i`
98.3%	1	`sinTheta_i`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	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))`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes60.0ms (0.4%)

Memory

2.5MiB live, 48.4MiB allocated

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

Outputs

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

Calls

8 calls:

12.0ms	cosTheta_O
7.0ms	v
7.0ms	cosTheta_i
7.0ms	sinTheta_O
7.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.2%	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))`
98.2%	1	`cosTheta_i`
98.2%	1	`cosTheta_O`
98.2%	1	`sinTheta_i`
98.2%	1	`sinTheta_O`
98.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes88.0ms (0.6%)

Memory

22.6MiB live, 68.1MiB allocated

Counts

24 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 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))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Outputs

(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) 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:

43.0ms	sinTheta_i
7.0ms	sinTheta_O
7.0ms	v
7.0ms	cosTheta_O
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.2%	1	`cosTheta_i`
98.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.2%	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))`
98.2%	1	`cosTheta_O`
98.2%	1	`sinTheta_i`
98.2%	1	`sinTheta_O`
98.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes118.0ms (0.8%)

Memory

-27.8MiB live, 66.3MiB allocated

Counts

23 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Outputs

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

Calls

8 calls:

42.0ms	sinTheta_i
39.0ms	v
7.0ms	sinTheta_O
6.0ms	cosTheta_i
6.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.2%	1	`cosTheta_i`
98.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.2%	1	`sinTheta_i`
98.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.2%	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))`
98.2%	1	`cosTheta_O`
98.2%	1	`sinTheta_O`
98.2%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes50.0ms (0.3%)

Memory

18.7MiB live, 63.7MiB allocated

Counts

22 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (*.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 (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 (.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 #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 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))) (.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)))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #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)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) v)))

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
72.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
72.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.1%	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))`
72.1%	1	`cosTheta_i`
72.1%	1	`cosTheta_O`
72.1%	1	`sinTheta_i`
72.1%	1	`sinTheta_O`
72.1%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes93.0ms (0.6%)

Memory

-29.8MiB live, 71.7MiB allocated

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

Outputs

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

Calls

8 calls:

33.0ms	cosTheta_O
25.0ms	sinTheta_O
6.0ms	v
6.0ms	sinTheta_i
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
72.1%	1	`cosTheta_i`
72.1%	1	`cosTheta_O`
72.1%	1	`v`
72.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.1%	1	`sinTheta_i`
72.1%	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))`
72.1%	1	`sinTheta_O`
72.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes47.0ms (0.3%)

Memory

15.7MiB live, 62.3MiB allocated

Counts

17 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) #s(approx ( v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) 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 cosTheta_i cosTheta_O)) #s(approx (* v (* (sinh (/ 1 v)) (* 2 v))) (.f32 (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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))) (.f32 #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 (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)))

Outputs

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

Calls

8 calls:

13.0ms	sinTheta_i
5.0ms	v
5.0ms	sinTheta_O
5.0ms	cosTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
72.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.1%	1	`cosTheta_i`
72.1%	1	`sinTheta_i`
72.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
72.1%	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))`
72.1%	1	`cosTheta_O`
72.1%	1	`v`
72.1%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes77.0ms (0.5%)

Memory

-3.4MiB live, 43.1MiB allocated

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

Outputs

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

Calls

8 calls:

50.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	v
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
71.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
71.9%	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))`
71.9%	1	`cosTheta_i`
71.9%	1	`cosTheta_O`
71.9%	1	`sinTheta_i`
71.9%	1	`v`
71.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.9%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.2%)

Memory

16.4MiB live, 61.0MiB allocated

Counts

10 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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 cosTheta_i cosTheta_O)) (.f32 v #s(approx ( (sinh (/ 1 v)) (* 2 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) (*.f32 #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_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 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:

5.0ms	(/.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))
3.0ms	cosTheta_O
3.0ms	v
3.0ms	sinTheta_O
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.8%	1	`sinTheta_i`
65.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.8%	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))`
65.8%	1	`cosTheta_i`
65.8%	1	`cosTheta_O`
65.8%	1	`sinTheta_O`
65.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes28.0ms (0.2%)

Memory

4.8MiB live, 52.4MiB allocated

Counts

8 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 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 #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))

Outputs

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

9.0ms	(/.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))
3.0ms	cosTheta_O
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	v

Results

Accuracy	Segments	Branch
65.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.8%	1	`cosTheta_i`
65.8%	1	`v`
65.8%	1	`sinTheta_i`
65.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.8%	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))`
65.8%	1	`sinTheta_O`
65.8%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes22.0ms (0.1%)

Memory

2.8MiB live, 48.3MiB allocated

Counts

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

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) #s(literal 1/2 binary32)) v))

Calls

8 calls:

6.0ms	(/.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	cosTheta_O
2.0ms	sinTheta_O
2.0ms	cosTheta_i
2.0ms	v

Results

Accuracy	Segments	Branch
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.1%	1	`v`
60.1%	1	`sinTheta_i`
60.1%	1	`cosTheta_i`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	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))`
60.1%	1	`sinTheta_O`
60.1%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes18.0ms (0.1%)

Memory

-10.2MiB live, 35.2MiB allocated

Counts

4 → 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 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)))
#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) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) cosTheta_O)) v))

Outputs
#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 1/2 binary32) cosTheta_O)) v))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
60.1%	1	`cosTheta_O`
60.1%	1	`v`
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.1%	1	`cosTheta_i`
60.1%	1	`sinTheta_i`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	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))`
60.1%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes16.0ms (0.1%)

Memory

-15.3MiB live, 30.7MiB allocated

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 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)))

#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) #s(literal 1/2 binary32)))

Outputs
#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)))

Calls

8 calls:

5.0ms	v
2.0ms	sinTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.0%	1	`cosTheta_O`
60.0%	1	`v`
60.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.0%	1	`cosTheta_i`
60.0%	1	`sinTheta_O`
60.0%	1	`sinTheta_i`
60.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.0%	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)

regimes8.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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 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 cosTheta_i) v)))

Calls

8 calls:

1.0ms	sinTheta_i
1.0ms	(/.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))
1.0ms	sinTheta_O
1.0ms	v
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
60.0%	1	`cosTheta_i`
60.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.0%	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))`
60.0%	1	`v`
60.0%	1	`cosTheta_O`
60.0%	1	`sinTheta_i`
60.0%	1	`sinTheta_O`
60.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify81.0ms (0.5%)

Memory

10.2MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	909
1	283	909
2	511	904
3	1574	902
4	7102	902

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.9s (12.8%)

Memory

-14.8MiB live, 2 000.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280
0	866	4964
1	3228	4872
0	8373	4668
0	720	3489
1	2628	3351
0	8491	3221
0	66	438
0	111	420
1	387	401
2	2924	389
0	8313	389
0	70	455
0	116	455
1	363	455
2	2222	447
0	8141	447
0	731	3370
1	2658	3227
0	8369	3078
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68

Stop Event

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

Compiler

Compiled 909 to 194 computations (78.7% saved)

preprocess315.0ms (2.1%)

Memory

-4.7MiB live, 412.6MiB allocated

Remove

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 3 182 to 1 566 computations (50.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze846.0ms (5.7%)

sample2.9s (19.6%)

explain218.0ms (1.5%)

preprocess179.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify122.0ms (0.8%)

localize45.0ms (0.3%)

series83.0ms (0.6%)

simplify220.0ms (1.5%)

rewrite179.0ms (1.2%)

eval98.0ms (0.7%)

prune50.0ms (0.3%)

simplify147.0ms (1%)

localize254.0ms (1.7%)

series399.0ms (2.7%)

simplify189.0ms (1.3%)

rewrite299.0ms (2%)

eval119.0ms (0.8%)

prune58.0ms (0.4%)

simplify147.0ms (1%)

localize192.0ms (1.3%)

series440.0ms (3%)

simplify201.0ms (1.4%)

rewrite177.0ms (1.2%)

eval228.0ms (1.5%)

prune106.0ms (0.7%)

simplify136.0ms (0.9%)

localize210.0ms (1.4%)

series81.0ms (0.5%)

simplify209.0ms (1.4%)

rewrite213.0ms (1.4%)

eval224.0ms (1.5%)

prune210.0ms (1.4%)

regimes317.0ms (2.1%)

regimes261.0ms (1.8%)

regimes285.0ms (1.9%)

regimes372.0ms (2.5%)

regimes212.0ms (1.4%)

regimes157.0ms (1.1%)

regimes162.0ms (1.1%)

regimes169.0ms (1.1%)

regimes150.0ms (1%)

regimes101.0ms (0.7%)

regimes129.0ms (0.9%)

regimes83.0ms (0.6%)

regimes111.0ms (0.8%)

regimes79.0ms (0.5%)

regimes81.0ms (0.6%)

regimes60.0ms (0.4%)

regimes88.0ms (0.6%)

regimes118.0ms (0.8%)

regimes50.0ms (0.3%)

regimes93.0ms (0.6%)

regimes47.0ms (0.3%)

regimes77.0ms (0.5%)

regimes27.0ms (0.2%)

regimes28.0ms (0.2%)

regimes22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

simplify81.0ms (0.5%)

derivations1.9s (12.8%)

preprocess315.0ms (2.1%)

end0.0ms (0%)

Profiling