Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

analyze1.1s (9.9%)

Memory

43.3MiB live, 1 501.9MiB allocated; 270ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.5s (22.1%)

Memory

85.8MiB live, 3 590.2MiB allocated; 771ms collecting garbage

Samples

1.8s

8 256×

valid

Precisions

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

ival-mult: 364.0ms (26% of total)

ival-div: 280.0ms (20% of total)

const: 224.0ms (16% of total)

ival-<=: 223.0ms (15.9% of total)

ival-sinh: 91.0ms (6.5% of total)

ival-exp: 82.0ms (5.9% of total)

ival-and: 55.0ms (3.9% of total)

ival-neg: 38.0ms (2.7% of total)

ival-<: 19.0ms (1.4% of total)

exact: 17.0ms (1.2% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain203.0ms (1.8%)

Memory

-6.5MiB live, 225.1MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
5	(1.7694594704395494e-12 5.6957357643980965e-36 2.7109610009361247e-18 -1.982303719418773e-28 0.2993644177913666)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	(8.51038406413096e-11 -5.401577343161472e-36 8.932951339762516e-16 -6.081020355899825e-33 0.6083497405052185)	-	`(/.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	5	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	85
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	78

Confusion

	Predicted +	Predicted -
+	0	0
-	8	248

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	8	0	248

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

74.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 18.0ms (36.1% of total)

ival-mult: 17.0ms (34.1% of total)

ival-sinh: 6.0ms (12% of total)

ival-exp: 5.0ms (10% of total)

ival-neg: 2.0ms (4% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

preprocess149.0ms (1.3%)

Memory

48.8MiB live, 136.5MiB allocated; 14ms collecting garbage

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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)

simplify631.0ms (5.5%)

Memory

-163.8MiB live, 93.3MiB allocated; 1.0s collecting garbage

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)

localize43.0ms (0.4%)

Memory

3.3MiB live, 48.3MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23533883046286386	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.23828125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.309263879305074	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

33.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (35.2% of total)

ival-div: 7.0ms (30.8% of total)

ival-exp: 4.0ms (17.6% of total)

ival-sinh: 3.0ms (13.2% of total)

ival-neg: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory

-21.1MiB live, 73.1MiB allocated; 20ms collecting garbage

Counts

8 → 52

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	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))
10.0ms	sinTheta_O	@	-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))
9.0ms	cosTheta_i	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
6.0ms	sinTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* sinTheta_i sinTheta_O) v))
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))

simplify160.0ms (1.4%)

Memory

0.9MiB live, 129.9MiB allocated; 19ms collecting garbage

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))

rewrite173.0ms (1.5%)

Memory

26.1MiB live, 164.9MiB allocated; 25ms collecting garbage

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))

eval72.0ms (0.6%)

Memory: 9.8MiB live, 106.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune48.0ms (0.4%)

Memory

2.2MiB live, 93.2MiB allocated; 7ms collecting garbage

Pruning

42 alts after pruning (42 fresh and 0 done)

	Pruned	Kept	Total
New	592	42	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	593	42	635

Accuracy

99.6%

Counts

635 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.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))
▶	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.6%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 #s(literal 2 binary32) (.f32 v v)))
	98.5%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.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)))) (neg.f32 v))
▶	98.7%	(/.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))
	97.3%	(/.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 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))))))
	98.3%	(/.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)))))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	97.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (exp.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)))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.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 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (+.f32 (.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	67.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	61.5%	(/.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))))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	55.8%	(/.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) #s(literal 2 binary32)))
	98.4%	(/.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))
	98.4%	(/.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))
	98.4%	(/.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))
	98.3%	(/.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)))))
	98.4%	(/.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)))))
	98.4%	(/.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))
	98.2%	(.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))))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	92.0%	(.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)))))
	96.1%	(.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))))
	98.4%	(.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))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.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)))))
	98.4%	(.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)))))
	98.5%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.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)))))
	98.4%	(.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)))))
	98.3%	(.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)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
	98.5%	(.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)))))
	53.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (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))
	53.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
▶	98.4%	#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)))))
	55.7%	#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))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) 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))))))
▶	55.7%	#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 2 706 to 2 056 computations (24% saved)

simplify117.0ms (1%)

Memory

-20.6MiB live, 114.2MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	458
0	99	450
1	191	450
2	583	443
3	2974	431
0	8457	431

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (1.6%)

Memory

3.8MiB live, 207.4MiB allocated; 75ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.309263879305074	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.8129480603270629	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.8850218154648496	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.0078125	(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
accuracy	0.18359375	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.603830529502816	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.19140625	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.25	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy	0.8129480603270629	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.8850218154648496	(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.0546875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.309263879305074	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	14.168094834424766	#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	0.1875	(/.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	0.23828125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.389010119536632	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

96.0ms

256×

valid

Compiler

Compiled 410 to 48 computations (88.3% saved)

Precisions

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

ival-div: 30.0ms (40.8% of total)

ival-mult: 18.0ms (24.5% of total)

ival-pow: 10.0ms (13.6% of total)

ival-exp: 9.0ms (12.2% of total)

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

ival-neg: 2.0ms (2.7% of total)

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

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series326.0ms (2.9%)

Memory

24.0MiB live, 354.2MiB allocated; 93ms collecting garbage

Counts

23 → 122

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
65.0ms	cosTheta_i	@	0	((* (* 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)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (* 2 (sinh (/ 1 v)))) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* (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))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (/ (* cosTheta_i cosTheta_O) v))
47.0ms	sinTheta_O	@	inf	((* (* 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)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (* 2 (sinh (/ 1 v)))) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* (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))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (/ (* cosTheta_i cosTheta_O) v))
39.0ms	cosTheta_O	@	-inf	((* (* 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)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (* 2 (sinh (/ 1 v)))) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* (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))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (/ (* cosTheta_i cosTheta_O) v))
36.0ms	sinTheta_O	@	-inf	((* (* 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)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (* 2 (sinh (/ 1 v)))) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* (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))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (/ (* cosTheta_i cosTheta_O) v))
32.0ms	cosTheta_O	@	inf	((* (* 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)) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (- (exp (/ 1 v)) (exp (/ -1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (* 2 (sinh (/ 1 v)))) (/ (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* v v)) (/ (* cosTheta_O cosTheta_i) (pow (exp sinTheta_O) (/ sinTheta_i v))) (* (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))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (exp (/ -1 v)) (exp (/ 1 v)) (/ cosTheta_O (* v v)) (/ (* cosTheta_i cosTheta_O) v))

simplify169.0ms (1.5%)

Memory

-2.4MiB live, 187.3MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	3963
1	2926	3903
0	8118	3744

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 122

Calls

Call 1

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

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

rewrite68.0ms (0.6%)

Memory

6.5MiB live, 52.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	291
0	99	291
1	258	279
0	1277	279

Stop Event

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

Counts

23 → 319

Calls

Call 1

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

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

eval55.0ms (0.5%)

Memory: -3.3MiB live, 83.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 19 402 to 2 011 computations (89.6% saved)

prune72.0ms (0.6%)

Memory

-16.1MiB live, 53.0MiB allocated; 18ms collecting garbage

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	440	36	476
Fresh	27	10	37
Picked	4	1	5
Done	0	0	0
Total	471	47	518

Accuracy

99.6%

Counts

518 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.8%	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.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)))) (neg.f32 v))
	98.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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))
	97.3%	(/.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 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))))))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.4%	(/.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))
	98.3%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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))
	96.1%	(.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))))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (*.f32 #s(literal 2 binary32) v)))
▶	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O 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)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.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)))))
	98.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 v v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	#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 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 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 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 (neg.f32 v) v)))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	55.7%	#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 cosTheta_i cosTheta_O)) v))
	91.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	96.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O (*.f32 v v))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	55.7%	#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)))
▶	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	55.7%	#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)))
▶	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
	53.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))

Compiler

Compiled 3 346 to 2 528 computations (24.4% saved)

simplify98.0ms (0.9%)

Memory

18.6MiB live, 103.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	460
0	91	460
1	205	460
2	663	455
3	3131	452
0	8324	452

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.4%)

Memory

-4.7MiB live, 191.2MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.3046875	(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i)
accuracy	0.4069137695368841	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1875	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.23828125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.389010119536632	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.12890625	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.19140625	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.32421875	(/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.0546875	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O))
accuracy	0.14453125	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	14.168094834424766	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
accuracy	0.1875	(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.23828125	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.31640625	(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_O)
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

127.0ms

256×

valid

Compiler

Compiled 411 to 50 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 37.0ms (39.9% of total)

ival-div: 26.0ms (28% of total)

ival-sinh: 15.0ms (16.2% of total)

ival-exp: 5.0ms (5.4% of total)

ival-pow: 5.0ms (5.4% of total)

ival-neg: 3.0ms (3.2% of total)

ival-add: 1.0ms (1.1% 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)

series173.0ms (1.5%)

Memory

-13.0MiB live, 273.3MiB allocated; 61ms collecting garbage

Counts

22 → 107

Calls

Call 1

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

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 (* -1 (/ (* 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (pow v 2))
(/ 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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ 1 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_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_i v))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(+ (* 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)))))))
(+ (* 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 (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 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (- (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 (/ (* 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))) 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)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -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)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -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)))))
(+ (* -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))))))
(/ (+ 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_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 (* 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 (/ (- (/ (* 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)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(+ (* -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))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	sinTheta_O	@	inf	((* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v))))) (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v)))) (/ cosTheta_O (* v 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) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
20.0ms	cosTheta_i	@	0	((* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v))))) (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v)))) (/ cosTheta_O (* v 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) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
17.0ms	cosTheta_i	@	-inf	((* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v))))) (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v)))) (/ cosTheta_O (* v 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) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
16.0ms	cosTheta_O	@	inf	((* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v))))) (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v)))) (/ cosTheta_O (* v 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) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
16.0ms	cosTheta_O	@	0	((* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) (/ (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_O) cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_i v) cosTheta_O)) (* (/ cosTheta_i v) cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v))))) (/ (/ cosTheta_O (* v v)) (* 2 (sinh (/ 1 v)))) (/ cosTheta_O (* v 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) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))

simplify239.0ms (2.1%)

Memory

-25.2MiB live, 243.9MiB allocated; 114ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	3150
1	2510	3028
0	8501	2888

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 107

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 (* -1 (/ (* 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))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (pow v 2))
(/ 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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ 1 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_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_i v))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(+ (* 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)))))))
(+ (* 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 (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 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (- (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 (/ (* 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))) 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)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -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)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -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)))))
(+ (* -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))))))
(/ (+ 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_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 (* 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 (/ (- (/ (* 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)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(+ (* -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))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

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 (* -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 (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))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 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))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(.f32 cosTheta_i (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(/ (* cosTheta_i (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))) (-.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))
(/ 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))))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 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_i sinTheta_O) 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 (.f32 #s(literal 1/2 binary32) (.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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.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 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i (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 (.f32 cosTheta_i sinTheta_O) sinTheta_O)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(fma.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 sinTheta_i 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_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(fma.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_i v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O (.f32 v v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))))) sinTheta_i (/.f32 cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_i v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 (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) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O (*.f32 v v)))) sinTheta_i (/.f32 cosTheta_i v))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i 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 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.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 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 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i 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 cosTheta_i) (/.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 cosTheta_i 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 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i 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 (.f32 cosTheta_i (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 cosTheta_i) (/.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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)
(+ (* 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 #s(literal 1/2 binary32) (.f32 (.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 #s(literal 1/2 binary32) (.f32 (.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))
(+ (* 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 cosTheta_i (/.f32 sinTheta_i (.f32 v 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 (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 (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i (.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* 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))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_i v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i (.f32 v v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (/.f32 cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_i v))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i (*.f32 v v)))) sinTheta_O (/.f32 cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (/.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 (neg.f32 cosTheta_i) (/.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 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 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i 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 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) 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 -1/6 binary32))) sinTheta_O (/.f32 (.f32 (neg.f32 cosTheta_i) (/.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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) 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)
(/.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) 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) (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) 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_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.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)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (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)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O)))) v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/2160 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))) v)
(* 1/2 (/ cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_O #s(literal 7/2160 binary32) (.f32 cosTheta_O #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 cosTheta_O #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_O))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -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)))))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (.f32 (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(+ (* -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)))))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
(+ (* -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))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32)))))
(/ (+ 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 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))
(/.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) v)) (neg.f32 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))
(/.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_i sinTheta_O) #s(literal 3 binary32)) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O))) v))) v)) (neg.f32 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_i cosTheta_O) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O)) cosTheta_i (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O)) 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_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (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 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O)) cosTheta_i)) v))) v))) 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 #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_i sinTheta_O (/.f32 (fma.f32 (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O))) v))) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -7/2160 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal -1/2 binary32) cosTheta_O)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_O (*.f32 v v)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O #s(literal -7/2160 binary32) (.f32 cosTheta_O #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 cosTheta_O v) (/.f32 (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(/.f32 (*.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (-.f32 (.f32 (.f32 cosTheta_i (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v)) #s(literal 1/2 binary32)) (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(/.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v)) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i)) v))) v)) (neg.f32 v))
(+ (* -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))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) sinTheta_i) sinTheta_O (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal 1/6 binary32) cosTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))

rewrite75.0ms (0.7%)

Memory

2.7MiB live, 49.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	311
0	91	311
1	265	311
0	1341	311

Stop Event

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

Counts

22 → 353

Calls

Call 1

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

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

eval52.0ms (0.5%)

Memory: -4.7MiB live, 92.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 16 228 to 1 761 computations (89.1% saved)

prune64.0ms (0.6%)

Memory

18.9MiB live, 152.8MiB allocated; 12ms collecting garbage

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	436	24	460
Fresh	17	24	41
Picked	3	2	5
Done	0	1	1
Total	456	51	507

Accuracy

99.7%

Counts

507 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.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)))
	98.1%	(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.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)))) (neg.f32 v))
	98.7%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) 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) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	67.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) 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))
	61.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	55.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	98.6%	(/.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))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	98.1%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	96.1%	(.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))))
▶	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v)))
	98.5%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
	98.4%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal 2 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	55.7%	(.f32 (/.f32 cosTheta_O v) #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
	98.2%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.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)))))
	98.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 v v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v)))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	#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 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
▶	55.7%	#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))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 (neg.f32 v) v)))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (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_i v) v) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	91.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	96.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 2 binary32) v))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 2 binary32) #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)))))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))))))
▶	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	53.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i #s(approx (/ (/ cosTheta_O ( v v)) (* 2 (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_O)) v))))
✓	55.7%	#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)))
✓	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))
	53.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))

Compiler

Compiled 3 679 to 2 733 computations (25.7% saved)

simplify138.0ms (1.2%)

Memory

-22.2MiB live, 124.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	401
0	81	401
1	182	401
2	588	396
3	2956	395
4	7795	395
0	8272	395

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (1.3%)

Memory

-6.1MiB live, 184.4MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
accuracy	0.19140625	(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.3581238281475362	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.06640625	(/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))
accuracy	0.1953125	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.5362467655213478	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.12890625	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.234375	(/.f32 cosTheta_O (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.34212875976844204	(.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.06640625	(.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))
accuracy	0.2979088379159782	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
accuracy	14.168094834424766	#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))
accuracy	0.158535009768442	(.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.30859375	(.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)))
accuracy	0.3366012695368841	(/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8562105114848527	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

118.0ms

256×

valid

Compiler

Compiled 365 to 48 computations (86.8% saved)

Precisions

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

ival-mult: 40.0ms (44.6% of total)

ival-div: 34.0ms (37.9% of total)

ival-pow: 5.0ms (5.6% of total)

ival-exp: 4.0ms (4.5% of total)

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

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series222.0ms (2%)

Memory

16.2MiB live, 260.1MiB allocated; 42ms collecting garbage

Counts

23 → 108

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
73.0ms	cosTheta_i	@	-inf	((* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ (/ cosTheta_O v) (sinh (/ 1 v))) (* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)))) (/ (/ cosTheta_O v) (sinh (/ 1 v))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v))))) (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v)))) (* (* (* v v) 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (* v v)) (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) 2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v))))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v)))) (* (/ cosTheta_i v) cosTheta_O))
22.0ms	sinTheta_i	@	-inf	((* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ (/ cosTheta_O v) (sinh (/ 1 v))) (* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)))) (/ (/ cosTheta_O v) (sinh (/ 1 v))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v))))) (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v)))) (* (* (* v v) 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (* v v)) (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) 2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v))))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v)))) (* (/ cosTheta_i v) cosTheta_O))
18.0ms	cosTheta_O	@	inf	((* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ (/ cosTheta_O v) (sinh (/ 1 v))) (* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)))) (/ (/ cosTheta_O v) (sinh (/ 1 v))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v))))) (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v)))) (* (* (* v v) 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (* v v)) (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) 2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v))))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v)))) (* (/ cosTheta_i v) cosTheta_O))
17.0ms	cosTheta_i	@	inf	((* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ (/ cosTheta_O v) (sinh (/ 1 v))) (* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)))) (/ (/ cosTheta_O v) (sinh (/ 1 v))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v))))) (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v)))) (* (* (* v v) 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (* v v)) (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) 2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v))))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v)))) (* (/ cosTheta_i v) cosTheta_O))
17.0ms	cosTheta_O	@	0	((* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v))) (* (/ (/ cosTheta_O v) (sinh (/ 1 v))) (* cosTheta_i (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)))) (/ (/ cosTheta_O v) (sinh (/ 1 v))) (/ cosTheta_O v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* cosTheta_i cosTheta_O) 1/2) v) (* (* cosTheta_i cosTheta_O) 1/2) (* cosTheta_i cosTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* cosTheta_i (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v))))) (/ cosTheta_O (* (* (* v v) 2) (sinh (/ 1 v)))) (* (* (* v v) 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (* v v)) (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/ (* cosTheta_i cosTheta_O) 2) (* (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v))))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (sinh (/ 1 v)) (/ (* (/ cosTheta_i v) cosTheta_O) (* 2 (sinh (/ 1 v)))) (* (/ cosTheta_i v) cosTheta_O))

simplify169.0ms (1.5%)

Memory

8.5MiB live, 193.1MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	2736
1	2132	2580
0	8621	2453

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

Calls

Call 1

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

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

rewrite86.0ms (0.8%)

Memory

-14.0MiB live, 85.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	291
0	81	291
1	233	291
0	1132	291

Stop Event

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

Counts

23 → 388

Calls

Call 1

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

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

eval64.0ms (0.6%)

Memory: 6.4MiB live, 95.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 16 536 to 1 792 computations (89.2% saved)

prune123.0ms (1.1%)

Memory

19.2MiB live, 160.8MiB allocated; 23ms collecting garbage

Pruning

59 alts after pruning (55 fresh and 4 done)

	Pruned	Kept	Total
New	437	24	461
Fresh	12	31	43
Picked	4	1	5
Done	0	3	3
Total	453	59	512

Accuracy

99.7%

Counts

512 → 59

Alt Table

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Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.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)))
	98.7%	(/.f32 (.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) 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) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	67.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) 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))
	98.6%	(/.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))
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #s(literal 2 binary32)) v))
	98.2%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	96.1%	(.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))))
	98.6%	(.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v))))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
	98.4%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal 2 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	55.7%	(.f32 (/.f32 cosTheta_O v) #s(approx (/ ( (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) cosTheta_i) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
	98.2%	(.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.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)))))
	98.6%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) (neg.f32 v)))
	67.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 v v)))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 v v)))
	97.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	#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 (*.f32 v v) #s(literal 2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	#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 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
✓	55.7%	#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))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 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 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
	97.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v)))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (.f32 (.f32 (.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v 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_i v) v) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	91.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
	96.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	55.7%	#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) v) (.f32 cosTheta_O cosTheta_i)))
✓	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 2 binary32) #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)))))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (*.f32 v v) #s(literal 2 binary32)))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))))))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 #s(literal 2 binary32) v)))))
	61.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O #s(approx ( (* (* v v) 2) (sinh (/ 1 v))) (.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v)))))
	67.6%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (/.f32 cosTheta_O #s(approx ( (* (* v v) 2) (sinh (/ 1 v))) (.f32 (neg.f32 v) (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) v) v) #s(literal 2 binary32)))))))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))))
✓	55.7%	#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)))
✓	55.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) cosTheta_O)))

Compiler

Compiled 6 710 to 2 268 computations (66.2% saved)

regimes332.0ms (2.9%)

Memory

-14.2MiB live, 405.6MiB allocated; 78ms collecting garbage

Counts

127 → 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_i v) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #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 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) 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 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 #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 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (/ (* cosTheta_i cosTheta_O) 2) (sinh (/ 1 v))) (/.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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 (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 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 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 v v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (.f32 (.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 (/.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 (.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_O) (/.f32 (neg.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 #s(literal 2 binary32) (.f32 v v)))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) 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 cosTheta_O 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_O v) (.f32 cosTheta_i (/.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 v) (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (*.f32 #s(literal 2 binary32) v)))
(.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_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #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 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.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)))) (neg.f32 v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) 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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #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 (/.f32 (-.f32 (.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 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 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 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 (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 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 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) 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 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (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))) (.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (exp.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)))))) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))))) #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 (+.f32 (.f32 (sinh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (cosh.f32 (sinh.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) (.f32 (cosh.f32 (cosh.f32 (.f32 (log.f32 v) #s(literal -1 binary32)))) (sinh.f32 (sinh.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))))) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

60.0ms	cosTheta_i
57.0ms	sinTheta_O
46.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	sinTheta_i
37.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes222.0ms (1.9%)

Memory

1.9MiB live, 243.6MiB allocated; 27ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

46.0ms	cosTheta_i
38.0ms	sinTheta_O
25.0ms	sinTheta_i
25.0ms	cosTheta_O
23.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
98.7%	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_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`cosTheta_i`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes188.0ms (1.7%)

Memory

35.0MiB live, 411.3MiB allocated; 45ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

30.0ms	cosTheta_i
27.0ms	sinTheta_i
24.0ms	sinTheta_O
22.0ms	(/.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))
22.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
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	`sinTheta_i`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes181.0ms (1.6%)

Memory

-6.5MiB live, 267.9MiB allocated; 27ms collecting garbage

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

Outputs

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

Calls

8 calls:

59.0ms	(*.f32 sinTheta_i sinTheta_O)
19.0ms	cosTheta_O
18.0ms	sinTheta_i
18.0ms	sinTheta_O
18.0ms	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)

regimes144.0ms (1.3%)

Memory

-0.8MiB live, 184.1MiB allocated; 23ms collecting garbage

Counts

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

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:

50.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
15.0ms	sinTheta_O
14.0ms	(*.f32 cosTheta_i cosTheta_O)
13.0ms	cosTheta_O
13.0ms	v

Results

Accuracy	Segments	Branch
98.6%	1	`sinTheta_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_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_O`
98.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes192.0ms (1.7%)

Memory

-2.3MiB live, 198.9MiB allocated; 79ms collecting garbage

Counts

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

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

Calls

8 calls:

57.0ms	cosTheta_O
43.0ms	(*.f32 cosTheta_i cosTheta_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))
17.0ms	sinTheta_O
12.0ms	v

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)

regimes105.0ms (0.9%)

Memory

31.8MiB live, 126.5MiB allocated; 15ms collecting garbage

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

Outputs

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

Calls

8 calls:

28.0ms	cosTheta_i
21.0ms	(*.f32 cosTheta_i cosTheta_O)
9.0ms	sinTheta_O
9.0ms	v
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
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_i`
98.4%	1	`cosTheta_O`
98.4%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes84.0ms (0.7%)

Memory

2.3MiB live, 137.9MiB allocated; 9ms collecting garbage

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

Outputs

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

Calls

8 calls:

17.0ms	(*.f32 cosTheta_i cosTheta_O)
13.0ms	cosTheta_i
12.0ms	sinTheta_i
8.0ms	sinTheta_O
8.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`
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_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes85.0ms (0.7%)

Memory

7.0MiB live, 103.6MiB allocated; 9ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

23.0ms	v
16.0ms	cosTheta_i
8.0ms	sinTheta_O
8.0ms	sinTheta_i
8.0ms	cosTheta_O

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)

regimes161.0ms (1.4%)

Memory

-37.5MiB live, 155.7MiB allocated; 14ms collecting garbage

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

Outputs

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

Calls

8 calls:

37.0ms	(*.f32 cosTheta_i cosTheta_O)
33.0ms	v
32.0ms	(/.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))
27.0ms	cosTheta_O
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
67.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.6%	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))`
67.6%	1	`cosTheta_i`
67.6%	1	`cosTheta_O`
67.6%	1	`sinTheta_i`
67.6%	1	`sinTheta_O`
67.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes47.0ms (0.4%)

Memory

41.3MiB live, 41.3MiB allocated; 0ms collecting garbage

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`cosTheta_i`
67.6%	1	`v`
67.6%	1	`sinTheta_i`
67.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.6%	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))`
67.6%	1	`cosTheta_O`
67.6%	1	`sinTheta_O`
67.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes77.0ms (0.7%)

Memory

-30.8MiB live, 60.8MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

23.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.4%	1	`cosTheta_i`
61.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.4%	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))`
61.4%	1	`sinTheta_O`
61.4%	1	`cosTheta_O`
61.4%	1	`sinTheta_i`
61.4%	1	`v`
61.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes53.0ms (0.5%)

Memory

-13.3MiB live, 48.1MiB allocated; 16ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

19.0ms	v
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	cosTheta_O
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
61.4%	1	`cosTheta_O`
61.4%	1	`sinTheta_O`
61.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.4%	1	`v`
61.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
61.4%	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))`
61.4%	1	`sinTheta_i`
61.4%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.2%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
55.7%	1	`cosTheta_O`
55.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.7%	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))`
55.7%	1	`sinTheta_O`
55.7%	1	`v`
55.7%	1	`cosTheta_i`
55.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
55.7%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.2%)

Memory

-5.0MiB live, 42.1MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

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_i v) cosTheta_O)))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
55.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
55.7%	1	`cosTheta_i`
55.7%	1	`cosTheta_O`
55.7%	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))`
55.7%	1	`v`
55.7%	1	`sinTheta_i`
55.7%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify62.0ms (0.5%)

Memory

-37.8MiB live, 54.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	561
1	207	561
2	447	551
3	1736	551

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.1s (9.6%)

Memory

35.8MiB live, 1 018.9MiB allocated; 176ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	311
0	91	311
1	265	311
0	1341	311
0	61	291
0	99	291
1	258	279
0	1277	279
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68
0	787	3963
1	2926	3903
0	8118	3744
0	592	2736
1	2132	2580
0	8621	2453
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280
0	52	291
0	81	291
1	233	291
0	1132	291
0	693	3150
1	2510	3028
0	8501	2888

Stop Event

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

Compiler

Compiled 561 to 131 computations (76.6% saved)

preprocess308.0ms (2.7%)

Memory: 9.5MiB live, 476.2MiB allocated; 119ms collecting garbage
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 1 474 to 566 computations (61.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.1s (9.9%)

sample2.5s (22.1%)

explain203.0ms (1.8%)

preprocess149.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify631.0ms (5.5%)

localize43.0ms (0.4%)

series74.0ms (0.7%)

simplify160.0ms (1.4%)

rewrite173.0ms (1.5%)

eval72.0ms (0.6%)

prune48.0ms (0.4%)

simplify117.0ms (1%)

localize177.0ms (1.6%)

series326.0ms (2.9%)

simplify169.0ms (1.5%)

rewrite68.0ms (0.6%)

eval55.0ms (0.5%)

prune72.0ms (0.6%)

simplify98.0ms (0.9%)

localize158.0ms (1.4%)

series173.0ms (1.5%)

simplify239.0ms (2.1%)

rewrite75.0ms (0.7%)

eval52.0ms (0.5%)

prune64.0ms (0.6%)

simplify138.0ms (1.2%)

localize153.0ms (1.3%)

series222.0ms (2%)

simplify169.0ms (1.5%)

rewrite86.0ms (0.8%)

eval64.0ms (0.6%)

prune123.0ms (1.1%)

regimes332.0ms (2.9%)

regimes222.0ms (1.9%)

regimes188.0ms (1.7%)

regimes181.0ms (1.6%)

regimes144.0ms (1.3%)

regimes192.0ms (1.7%)

regimes105.0ms (0.9%)

regimes84.0ms (0.7%)

regimes85.0ms (0.7%)

regimes161.0ms (1.4%)

regimes47.0ms (0.4%)

regimes77.0ms (0.7%)

regimes53.0ms (0.5%)

regimes27.0ms (0.2%)

regimes27.0ms (0.2%)

simplify62.0ms (0.5%)

derivations1.1s (9.6%)

preprocess308.0ms (2.7%)

end0.0ms (0%)

Profiling