Metrics for HairBSDF, Mp, upper

analyze675.0ms (2.6%)

Memory

33.5MiB live, 1 081.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.6s (10%)

Memory

29.0MiB live, 3 727.2MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 392.0ms (24.8% of total)

ival-<=: 283.0ms (17.9% of total)

ival-div: 252.0ms (15.9% of total)

const: 204.0ms (12.9% of total)

ival-sinh: 182.0ms (11.5% of total)

ival-exp: 134.0ms (8.5% of total)

ival-and: 56.0ms (3.5% of total)

ival-neg: 42.0ms (2.7% of total)

ival-<: 21.0ms (1.3% of total)

exact: 15.0ms (0.9% of total)

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

Bogosity

preprocess315.0ms (1.2%)

Memory

26.0MiB live, 501.4MiB allocated

Algorithm

2×	egg-herbie

Rules

6 182×	`-lowering-.f32`
6 182×	`-lowering-.f64`
2 208×	`accelerator-lowering-fma.f32`
2 208×	`accelerator-lowering-fma.f64`
2 152×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	479
1	539	459
2	2082	441
0	19	22
1	55	22
2	185	21
3	769	21
4	3043	21
5	3715	21
6	5458	21
0	8267	21

Stop Event

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

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

Outputs

(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))

Call 2

Inputs
(/ (* (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 cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))

Outputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v 2) v))))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v 2) v))))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(/ (* (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ -1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ -1 v)) (* v -2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_i (/ cosTheta_O v)) (pow (exp cosTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_O (/ cosTheta_O v)) (pow (exp sinTheta_i) (/ cosTheta_i v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (/ (* v (/ cosTheta_O cosTheta_i)) (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_i))) (* (sinh (/ 1 cosTheta_i)) (* cosTheta_i 2)))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_i (/ cosTheta_i v)) (pow (exp sinTheta_O) (/ cosTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ cosTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (/ (* v (/ cosTheta_i cosTheta_O)) (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_O))) (* (sinh (/ 1 cosTheta_O)) (* cosTheta_O 2)))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (/ (/ (* cosTheta_i cosTheta_O) sinTheta_i) (pow (exp sinTheta_O) (/ v sinTheta_i))) (* (sinh (/ 1 sinTheta_i)) (* sinTheta_i 2)))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))
(/ (/ (* cosTheta_i (/ cosTheta_O sinTheta_O)) (pow (exp sinTheta_i) (/ v sinTheta_O))) (* (sinh (/ 1 sinTheta_O)) (* sinTheta_O 2)))

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain186.0ms (0.7%)

Memory

2.5MiB live, 427.2MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
6	(2.671774602447251e-29 0.0005311212153173983 3.7928869828858087e-31 1.8110127689206865e-15 0.14354348182678223)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(8.579269360586487e-37 6.409401342999388e-10 4.6873147724335595e-11 0.21587267518043518 0.29243773221969604)	-	`(/.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	6	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	101
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	72

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

68.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

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

ival-div: 19.0ms (41.3% of total)

ival-mult: 14.0ms (30.5% of total)

ival-sinh: 6.0ms (13.1% of total)

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

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

ival-true: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.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 27 to 19 computations (29.6% saved)

simplify321.0ms (1.2%)

Memory

8.8MiB live, 331.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	32	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	cost-diff	96	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.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))

Rules

6 182×	`-lowering-.f32`
6 182×	`-lowering-.f64`
2 208×	`accelerator-lowering-fma.f32`
2 208×	`accelerator-lowering-fma.f64`
2 152×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	55	92
2	185	90
3	769	90
4	3043	90
5	3715	90
6	5458	90
0	8267	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(neg (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (* (sinh (/ 1 v)) 2) v)
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2

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

localize55.0ms (0.2%)

Memory

-19.1MiB live, 100.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

32.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (34.6% of total)

ival-mult: 7.0ms (34.6% of total)

ival-exp: 2.0ms (9.9% of total)

ival-sinh: 2.0ms (9.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.2%)

Memory

-6.4MiB live, 109.2MiB allocated

Counts

7 → 252

Calls

Call 1

Inputs
#<alt (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))>
#<alt (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))>
#<alt (* (* (sinh (/ 1 v)) 2) v)>
#<alt (exp (neg (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (sinh (/ 1 v))>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (/ (* sinTheta_i sinTheta_O) v)>

Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* 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)))))))>
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#<alt 2>
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#<alt 1>
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#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 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)))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_O	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	cosTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	0	(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
4.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	cosTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite260.0ms (1%)

Memory

0.3MiB live, 500.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`-lowering-.f32`
4 816×	`-lowering-.f64`
3 750×	`/-lowering-/.f32`
3 750×	`/-lowering-/.f64`
1 524×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	77	62
2	516	62
3	6807	62
0	8047	62

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 712

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(* (* (sinh (/ 1 v)) 2) v)
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(sinh (/ 1 v))
(/ (* cosTheta_i cosTheta_O) v)
(/ (* sinTheta_i sinTheta_O) v)

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

simplify478.0ms (1.8%)

Memory

5.8MiB live, 665.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
5 366×	`-lowering-.f32`
5 366×	`-lowering-.f64`
3 038×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	3905
1	1040	3784
2	3835	3551
3	7017	3550
0	8065	3508

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval129.0ms (0.5%)

Memory: 26.0MiB live, 212.8MiB allocated
Compiler: Compiled 24 768 to 2 509 computations (89.9% saved)

prune207.0ms (0.8%)

Memory

-5.6MiB live, 434.6MiB allocated

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	924	40	964
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	925	40	965

Accuracy

99.7%

Counts

965 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.7%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) v))
▶	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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))
	98.6%	(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	98.0%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	97.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
	98.4%	(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
▶	55.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) 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 (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)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	62.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	55.7%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.2%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	54.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	89.4%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.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))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)))
	98.5%	(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (.f32 v v)))
	98.5%	(.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 (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
▶	98.5%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))
	98.4%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
▶	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.5%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	98.5%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	98.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	88.0%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 2 352 to 1 602 computations (31.9% saved)

simplify373.0ms (1.4%)

Memory

9.5MiB live, 461.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	192	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	0	(.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v v)))
✓	cost-diff	224	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	cost-diff	0	(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))

Rules

6 670×	`-lowering-.f32`
6 670×	`-lowering-.f64`
3 384×	`accelerator-lowering-fma.f32`
3 384×	`accelerator-lowering-fma.f64`
2 208×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	396
1	122	396
2	464	396
3	2211	396
4	3051	396
5	4398	396
6	5910	396
0	8161	396

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* cosTheta_i cosTheta_O) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2)))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
v
(* (sinh (/ 1 v)) (* v 2))
(sinh (/ 1 v))
(/ 1 v)
1
(* v 2)
2
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
1/2
v
(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v)
(* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(sinh (/ 1 v))
(/ 1 v)
1
v
(* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(* v 2)
2
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
0
(/ (/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))) (* (sinh (/ 1 v)) 2))
(/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
0
(* v v)
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2
(* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(* (/ (* cosTheta_i cosTheta_O) v) 1/2)
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
1/2
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(sinh (/ 1 v))
(/ 1 v)
1

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

localize175.0ms (0.7%)

Memory

-16.1MiB live, 335.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	98.9%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
✓	accuracy	99.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v)
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	98.8%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

73.0ms

256×

valid

Compiler

Compiled 431 to 43 computations (90% saved)

Precisions

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

ival-mult: 22.0ms (43.8% of total)

ival-div: 17.0ms (33.8% of total)

ival-exp: 4.0ms (8% of total)

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

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

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

exact: 1.0ms (2% of total)

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

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

series152.0ms (0.6%)

Memory

-12.8MiB live, 312.9MiB allocated

Counts

20 → 756

Calls

Call 1

Inputs
#<alt (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2)))>
#<alt (* (* cosTheta_i cosTheta_O) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2))))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)>
#<alt (/ (* (* cosTheta_O cosTheta_i) 1/2) v)>
#<alt (* (* cosTheta_O cosTheta_i) 1/2)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v))>
#<alt (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v)>
#<alt (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))>
#<alt (/ (/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))) (* (sinh (/ 1 v)) 2))>
#<alt (/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v)))>
#<alt (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))>
#<alt (* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))>
#<alt (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))>
#<alt (* (/ (* cosTheta_i cosTheta_O) v) 1/2)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (sinh (/ 1 v))>
#<alt (* (sinh (/ 1 v)) (* v 2))>
#<alt (+ (* sinTheta_i (/ sinTheta_O v)) 0)>

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

Calls

189 calls:

Time	Variable		Point	Expression
26.0ms	sinTheta_O	@	0	(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
18.0ms	v	@	0	(* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
7.0ms	sinTheta_i	@	-inf	(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2)))
5.0ms	v	@	inf	(/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v)))
3.0ms	sinTheta_i	@	inf	(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v))

rewrite752.0ms (2.9%)

Memory

-154.7MiB live, 725.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 100×	`/-lowering-/.f32`
4 100×	`/-lowering-/.f64`
3 504×	`-lowering-.f32`
3 504×	`-lowering-.f64`
1 292×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	232
1	216	232
2	1922	225
0	8880	225

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 824

Calls

Call 1

Inputs
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2)))
(* (* cosTheta_i cosTheta_O) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (* (sinh (/ 1 v)) (* v 2))))
(* cosTheta_i cosTheta_O)
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v))
(* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v)
(* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(/ (/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))) (* (sinh (/ 1 v)) 2))
(/ (* cosTheta_i cosTheta_O) (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v)))
(* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v v))
(* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(* (/ (* cosTheta_i cosTheta_O) v) 1/2)
(/ (* cosTheta_i cosTheta_O) v)
(sinh (/ 1 v))
(* (sinh (/ 1 v)) (* v 2))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)

Outputs
(neg.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))))
(neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(neg.f32 (.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))))
(neg.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 v #s(literal 2 binary32))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) v))
(exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) #s(literal -1 binary32)))
(pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) v))) #s(literal -1 binary32))
(pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32)))) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v #s(literal 2 binary32)))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (.f32 v #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))
(/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) v)
(/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) v)
(/.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (neg.f32 v)))
(/.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v #s(literal -2 binary32)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) (neg.f32 v))
(/.f32 (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))) v)
(/.f32 (neg.f32 (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))) #s(literal -2 binary32))
(.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)))))
(.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
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(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))))) (.f32 (/.f32 v sinTheta_O) (/.f32 v sinTheta_O)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))) (/.f32 v sinTheta_O) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i)) (.f32 (/.f32 v sinTheta_O) (/.f32 v sinTheta_O)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) sinTheta_i)) (/.f32 v sinTheta_O) #s(literal 0 binary32))
(fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) #s(literal 0 binary32))
(fma.f32 (neg.f32 sinTheta_i) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)) #s(literal 0 binary32))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))
(/.f32 sinTheta_i (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 sinTheta_O v) (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (*.f32 v v))) sinTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 sinTheta_O v) (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) sinTheta_i))))
(/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (*.f32 sinTheta_i sinTheta_i) #s(literal 0 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32)) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (*.f32 sinTheta_i sinTheta_i) #s(literal 0 binary32)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 0 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32)) (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32)))
(/.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))))) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))
(/.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))) (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))
(/.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) sinTheta_i)) (/.f32 sinTheta_O v))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v (neg.f32 sinTheta_O)))
(/.f32 (-.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 v sinTheta_O) #s(literal 0 binary32))) (*.f32 (/.f32 v sinTheta_O) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)) (.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal 0 binary32))) (.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v #s(literal 0 binary32))) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (neg.f32 v) #s(literal 0 binary32))) (.f32 (neg.f32 v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32)) (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32)) (*.f32 (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32)) (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) sinTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32)) (*.f32 (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v)))))) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))
(/.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v)))))) (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_O)) (*.f32 v v)))
(/.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))) (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))
(/.f32 (neg.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i))) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))
(/.f32 (neg.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i))) (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_O)) (*.f32 v v)))
(/.f32 (neg.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) sinTheta_i))) (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) sinTheta_i))) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))
(.f32 sinTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i))
(.f32 sinTheta_O (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) sinTheta_i)
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(*.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(.f32 (neg.f32 sinTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (.f32 sinTheta_i sinTheta_i) #s(literal 0 binary32)) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (.f32 sinTheta_i sinTheta_i) #s(literal 0 binary32))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (.f32 sinTheta_i sinTheta_i) #s(literal 0 binary32)))))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))))) (*.f32 (/.f32 v sinTheta_O) (/.f32 v sinTheta_O)))
(.f32 (neg.f32 (.f32 sinTheta_i (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)))) (/.f32 v sinTheta_O))
(.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) sinTheta_i)) (*.f32 (/.f32 v sinTheta_O) (/.f32 v sinTheta_O)))
(.f32 (neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) sinTheta_i)) (/.f32 v sinTheta_O))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (neg.f32 sinTheta_i) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))

simplify829.0ms (3.1%)

Memory

32.5MiB live, 821.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 670×	`accelerator-lowering-fma.f32`
12 670×	`accelerator-lowering-fma.f64`
8 866×	`-lowering-.f32`
8 866×	`-lowering-.f64`
4 264×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	815	15212
1	2746	14448
0	8544	14216

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

Outputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (neg.f32 (/.f32 sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v 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))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v 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))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(/ 1 v)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(+ (* 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 sinTheta_i (fma.f32 (.f32 sinTheta_i #s(literal -1/2 binary32)) (fma.f32 sinTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal 1/3 binary32) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (/.f32 (neg.f32 (.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v 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)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v 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 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v 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)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v 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 (+ (* -1/2 (* 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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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
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(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
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(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(neg.f32 (.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
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(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
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(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (.f32 v (.f32 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 sinTheta_i (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v sinTheta_O) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O #s(literal 1/2 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 v v) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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2
#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
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2
#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v)))
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(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v)))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (fma.f32 sinTheta_O sinTheta_i v))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (fma.f32 sinTheta_O sinTheta_i v))
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(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 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 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

eval526.0ms (2%)

Memory: 12.8MiB live, 511.1MiB allocated
Compiler: Compiled 74 458 to 3 932 computations (94.7% saved)

prune443.0ms (1.7%)

Memory

-28.5MiB live, 714.8MiB allocated

Pruning

59 alts after pruning (58 fresh and 1 done)

	Pruned	Kept	Total
New	2 943	44	2 987
Fresh	21	14	35
Picked	4	1	5
Done	0	0	0
Total	2 968	59	3 027

Accuracy

99.8%

Counts

3 027 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	97.7%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) v))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O sinTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
▶	98.1%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 (log.f32 v) #s(literal 2 binary32))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.2%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.3%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (pow.f32 (/.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v cosTheta_i) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
	55.7%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	55.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) 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 (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)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	62.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	62.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	55.6%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	98.2%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	92.6%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	89.4%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
	56.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.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))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)))
	55.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	92.5%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))))
	98.5%	(.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 (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
	98.4%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
	55.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.3%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) #s(literal -1 binary32))))
	98.2%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
	98.1%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
	98.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	93.8%	(.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.8%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) (*.f32 v #s(literal 2 binary32)))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	54.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
▶	98.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	98.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	55.6%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
	89.0%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
▶	55.6%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
	88.0%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 3 180 to 2 157 computations (32.2% saved)

simplify260.0ms (1%)

Memory

22.1MiB live, 619.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
✓	cost-diff	96	(*.f32 (log.f32 v) #s(literal -1 binary32))
✓	cost-diff	192	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	2912	(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 (log.f32 v) #s(literal -1 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
✓	cost-diff	192	(.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
✓	cost-diff	0	(*.f32 v v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
✓	cost-diff	224	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	cost-diff	0	(*.f32 cosTheta_i #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
✓	cost-diff	0	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
✓	cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	288	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Rules

6 244×	`-lowering-.f32`
6 244×	`-lowering-.f64`
3 700×	`accelerator-lowering-fma.f32`
3 700×	`accelerator-lowering-fma.f64`
2 396×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	371
1	127	366
2	423	360
3	2071	357
4	2817	357
5	3983	357
6	6620	357
0	8820	357

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(* (* (/ cosTheta_O v) cosTheta_i) 1/2)
(* (/ cosTheta_O v) cosTheta_i)
(/ cosTheta_O v)
cosTheta_O
v
cosTheta_i
1/2
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(sinh (/ 1 v))
(/ 1 v)
1
(* cosTheta_O (/ (* cosTheta_i 1/2) v))
cosTheta_O
(/ (* cosTheta_i 1/2) v)
(* cosTheta_i 1/2)
cosTheta_i
1/2
v
(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (sinh (/ 1 v)) 2))
(/ (* cosTheta_i cosTheta_O) (* v v))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* v v)
v
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2
(* cosTheta_i (* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))))
cosTheta_i
(* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
(/ cosTheta_O v)
cosTheta_O
v
(/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
1/2
(* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(sinh (/ 1 v))
(/ 1 v)
1
(* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
0
(* (* cosTheta_i cosTheta_O) (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2)))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1)))
(+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
(* (log v) -1)
(log v)
-1
(* (sinh (/ 1 v)) (* v 2))
(sinh (/ 1 v))
(/ 1 v)
1
(* v 2)
2

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

localize160.0ms (0.6%)

Memory

-20.9MiB live, 501.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 (log.f32 v) #s(literal -1 binary32))))
✓	accuracy	98.8%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (.f32 (log.f32 v) #s(literal -1 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	99.0%	(/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
✓	accuracy	98.9%	(.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_i #s(literal 1/2 binary32))
✓	accuracy	100.0%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
✓	accuracy	99.6%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
✓	accuracy	99.6%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	accuracy	99.4%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.9%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

89.0ms

256×

valid

Compiler

Compiled 386 to 49 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 24.0ms (36.8% of total)

ival-div: 16.0ms (24.6% of total)

ival-exp: 9.0ms (13.8% of total)

ival-add: 9.0ms (13.8% of total)

ival-log: 3.0ms (4.6% of total)

ival-sinh: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series409.0ms (1.6%)

Memory

4.9MiB live, 512.6MiB allocated

Counts

22 → 720

Calls

Call 1

Inputs
#<alt (* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))>
#<alt (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))>
#<alt (* (* (/ cosTheta_O v) cosTheta_i) 1/2)>
#<alt (* (/ cosTheta_O v) cosTheta_i)>
#<alt (* cosTheta_O (/ (* cosTheta_i 1/2) v))>
#<alt (/ (* cosTheta_i 1/2) v)>
#<alt (* cosTheta_i 1/2)>
#<alt (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (sinh (/ 1 v)) 2))>
#<alt (/ (* cosTheta_i cosTheta_O) (* v v))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (* v v)>
#<alt (* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))>
#<alt (* cosTheta_i (* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))))>
#<alt (/ cosTheta_O v)>
#<alt (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))>
#<alt (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1)))>
#<alt (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2)))>
#<alt (* (log v) -1)>
#<alt (* (* cosTheta_i cosTheta_O) (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2))))>
#<alt (sinh (/ 1 v))>
#<alt (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))>
#<alt (* (sinh (/ 1 v)) (* v 2))>

Outputs
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -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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#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>

Calls

180 calls:

Time	Variable		Point	Expression
125.0ms	v	@	0	(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (sinh (/ 1 v)) 2))
75.0ms	v	@	0	(* (log v) -1)
55.0ms	sinTheta_O	@	inf	(* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
32.0ms	cosTheta_i	@	0	(* (* cosTheta_i cosTheta_O) (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2))))
15.0ms	v	@	-inf	(* (log v) -1)

rewrite288.0ms (1.1%)

Memory

7.1MiB live, 699.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 394×	`/-lowering-/.f32`
4 394×	`/-lowering-/.f64`
3 276×	`-lowering-.f32`
3 276×	`-lowering-.f64`
2 348×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	231
1	237	228
2	2008	220
0	8791	220

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 171

Calls

Call 1

Inputs
(* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(* (* (/ cosTheta_O v) cosTheta_i) 1/2)
(* (/ cosTheta_O v) cosTheta_i)
(* cosTheta_O (/ (* cosTheta_i 1/2) v))
(/ (* cosTheta_i 1/2) v)
(* cosTheta_i 1/2)
(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (sinh (/ 1 v)) 2))
(/ (* cosTheta_i cosTheta_O) (* v v))
(* cosTheta_i cosTheta_O)
(* v v)
(* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
(* cosTheta_i (* (/ cosTheta_O v) (/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))))
(/ cosTheta_O v)
(/ 1/2 (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1)))
(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2)))
(* (log v) -1)
(* (* cosTheta_i cosTheta_O) (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) (* (log v) -1))) (* (sinh (/ 1 v)) (* v 2))))
(sinh (/ 1 v))
(* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(* (sinh (/ 1 v)) (* v 2))

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

simplify551.0ms (2.1%)

Memory

16.5MiB live, 925.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 564×	`accelerator-lowering-fma.f32`
9 564×	`accelerator-lowering-fma.f64`
6 822×	`-lowering-.f32`
6 822×	`-lowering-.f64`
5 784×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	969	14666
1	3301	13842
0	8076	13622

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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)
(* 1/2 (/ (* cosTheta_O 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 (* 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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (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) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (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) (- (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))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (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))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v))))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v))))))))))) (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v))))))))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v)))))))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v)))))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (exp (* -1 (+ (log -1) (* -1 (log (/ -1 v))))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))
(+ 1 (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) v)) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)))) v))) v)))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 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))))))

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

eval224.0ms (0.8%)

Memory: -6.5MiB live, 382.5MiB allocated
Compiler: Compiled 49 641 to 3 615 computations (92.7% saved)

prune291.0ms (1.1%)

Memory

-6.5MiB live, 639.4MiB allocated

Pruning

83 alts after pruning (81 fresh and 2 done)

	Pruned	Kept	Total
New	2 026	50	2 076
Fresh	22	31	53
Picked	4	1	5
Done	0	1	1
Total	2 052	83	2 135

Accuracy

99.8%

Counts

2 135 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
	54.3%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
	97.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
	98.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O sinTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
▶	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	62.0%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
	55.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (log.f32 v) #s(literal 2 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	97.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.1%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	56.2%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.3%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (pow.f32 (/.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v cosTheta_i) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
▶	98.4%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	55.7%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	55.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) 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 (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)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	62.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	62.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	55.6%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	98.2%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	89.3%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	89.4%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	92.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
	92.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 2 binary32))) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)))))
	56.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.5%	(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
	92.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.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))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)))
	98.2%	(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
	55.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	55.6%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	55.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.3%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) #s(literal -1 binary32))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	93.8%	(.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
▶	98.7%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.3%	(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.5%	(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) #s(literal -1 binary32))))
	98.7%	(.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32))) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	96.7%	(.f32 (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) (*.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))))
	55.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
	89.0%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.2%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))))
	98.6%	(.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
	96.6%	(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
	55.6%	(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
✓	55.6%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
	98.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
	55.6%	(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
▶	55.6%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
▶	87.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))

Compiler

Compiled 4 034 to 2 794 computations (30.7% saved)

simplify286.0ms (1.1%)

Memory

11.7MiB live, 520.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (.f32 cosTheta_O cosTheta_i)))
✓	cost-diff	32	(.f32 #s(literal 2 binary32) (.f32 v v))
✓	cost-diff	96	(.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))
✓	cost-diff	6304	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	cost-diff	224	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	cost-diff	320	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	cost-diff	64	(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
✓	cost-diff	64	(.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32))
✓	cost-diff	352	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	cost-diff	0	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
✓	cost-diff	0	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
✓	cost-diff	160	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Rules

6 000×	`-lowering-.f32`
6 000×	`-lowering-.f64`
5 852×	`accelerator-lowering-fma.f32`
5 852×	`accelerator-lowering-fma.f64`
3 084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	396
1	153	389
2	590	387
3	3106	383
4	5238	383
0	8272	381

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v))))))
(* (* (/ cosTheta_O v) cosTheta_i) 1/2)
(* (/ cosTheta_O v) cosTheta_i)
(/ cosTheta_O v)
cosTheta_O
v
cosTheta_i
1/2
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v)))))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(/ 1 (/ 1 (sinh (/ 1 v))))
1
(/ 1 (sinh (/ 1 v)))
(sinh (/ 1 v))
(/ 1 v)
(* cosTheta_O (* (/ 1/2 v) cosTheta_i))
cosTheta_O
(* (/ 1/2 v) cosTheta_i)
(/ 1/2 v)
1/2
v
cosTheta_i
(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2))
(/ (* cosTheta_i cosTheta_O) (* v v))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* v v)
v
(* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2)
(/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))
(+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1)
(/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))
(+ 1/6 (/ 1/120 (* v v)))
1/6
(/ 1/120 (* v v))
1/120
(neg (* v v))
-1
(neg v)
2
(/ (* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v)) (* (sinh (/ 1 v)) 2))
(* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v))
(* (/ cosTheta_i v) cosTheta_O)
(/ cosTheta_i v)
cosTheta_i
v
cosTheta_O
(/ 1 v)
1
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
2
(exp (* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1))
(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
(log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i)))
(/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))
(* (sinh (/ 1 v)) (* 2 (* v v)))
(sinh (/ 1 v))
(/ 1 v)
1
v
(* 2 (* v v))
2
(* v v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1

Outputs
(* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 v v #s(literal 0 binary32))))
(* (* (/ cosTheta_O v) cosTheta_i) 1/2)
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))))
(* (/ cosTheta_O v) cosTheta_i)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
1/2
#s(literal 1/2 binary32)
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v)))))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
sinTheta_i
(- 0 (/ sinTheta_O v))
(-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))
0
#s(literal 0 binary32)
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(/ 1 (/ 1 (sinh (/ 1 v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
(/ 1 (sinh (/ 1 v)))
(/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* cosTheta_O (* (/ 1/2 v) cosTheta_i))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))))
cosTheta_O
(* (/ 1/2 v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
cosTheta_i
(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2))
(fma.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 v v #s(literal 0 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 v v #s(literal 0 binary32))) #s(literal 2 binary32)))) #s(literal 0 binary32))
(/ (* cosTheta_i cosTheta_O) (* v v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (fma.f32 v v #s(literal 0 binary32))))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(* v v)
(fma.f32 v v #s(literal 0 binary32))
v
(* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2)
(/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 v v #s(literal 0 binary32))) #s(literal 2 binary32)) v)
(/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 v v #s(literal 0 binary32)))) v)
(+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 v v #s(literal 0 binary32))))
(/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))
(/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))) (fma.f32 v v #s(literal 0 binary32)))
(+ 1/6 (/ 1/120 (* v v)))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32))))
1/6
#s(literal 1/6 binary32)
(/ 1/120 (* v v))
(/.f32 #s(literal 1/120 binary32) (fma.f32 v v #s(literal 0 binary32)))
1/120
#s(literal 1/120 binary32)
(neg (* v v))
(fma.f32 v (neg.f32 v) #s(literal 0 binary32))
-1
#s(literal -1 binary32)
(neg v)
(neg.f32 v)
2
#s(literal 2 binary32)
(/ (* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v)) (* (sinh (/ 1 v)) 2))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (fma.f32 v v #s(literal 0 binary32))))
(* (/ cosTheta_i v) cosTheta_O)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(* (sinh (/ 1 v)) 2)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
2
#s(literal 2 binary32)
(exp (* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O cosTheta_i))
(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
(neg.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O cosTheta_i))))
(log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i)))
(log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O cosTheta_i)))
(/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O cosTheta_i))
(* (sinh (/ 1 v)) (* 2 (* v v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(* 2 (* v v))
(.f32 v (.f32 v #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(* v v)
(fma.f32 v v #s(literal 0 binary32))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)

localize225.0ms (0.9%)

Memory

8.6MiB live, 399.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (*.f32 v v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	93.7%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))
✓	accuracy	55.8%	(log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))) (.f32 cosTheta_O cosTheta_i)))
✓	accuracy	99.6%	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓	accuracy	99.4%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.9%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	accuracy	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v))
✓	accuracy	98.2%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.6%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
✓	accuracy	99.1%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.9%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

116.0ms

256×

valid

Compiler

Compiled 425 to 56 computations (86.8% saved)

Precisions

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

ival-div: 26.0ms (35.2% of total)

ival-mult: 22.0ms (29.8% of total)

ival-exp: 6.0ms (8.1% of total)

const: 6.0ms (8.1% of total)

ival-log: 4.0ms (5.4% of total)

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

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

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

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

exact: 1.0ms (1.4% of total)

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

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

series281.0ms (1.1%)

Memory

11.4MiB live, 295.7MiB allocated

Counts

25 → 636

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (sinh (/ 1 v))))>
#<alt (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v)))))>
#<alt (* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v))))))>
#<alt (* (* (/ cosTheta_O v) cosTheta_i) 1/2)>
#<alt (* cosTheta_O (* (/ 1/2 v) cosTheta_i))>
#<alt (* (/ 1/2 v) cosTheta_i)>
#<alt (/ 1/2 v)>
#<alt (/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2))>
#<alt (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2)>
#<alt (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))>
#<alt (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))>
#<alt (* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v))>
#<alt (/ (* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v)) (* (sinh (/ 1 v)) 2))>
#<alt (* (/ cosTheta_i v) cosTheta_O)>
#<alt (/ cosTheta_i v)>
#<alt (exp (* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1))>
#<alt (* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)>
#<alt (* 2 (* v v))>
#<alt (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i)))>
#<alt (sinh (/ 1 v))>
#<alt (/ 1 (sinh (/ 1 v)))>
#<alt (/ 1/120 (* v v))>
#<alt (/ (* cosTheta_i cosTheta_O) (* v v))>
#<alt (+ 1/6 (/ 1/120 (* v v)))>
#<alt (* (sinh (/ 1 v)) (* 2 (* v v)))>

Outputs
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2)))>
#<alt (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* sinTheta_O sinTheta_i) (* 1/6 (/ 1 v)))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) (* -1/6 (/ (* sinTheta_O sinTheta_i) v))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v))))>
#<alt (* -1 (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v))))>
#<alt (* -1 (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v))))>
#<alt (* -1 (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v))))>
#<alt (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))>
#<alt (- (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))) (/ 1/180 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))) (/ 1/180 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))>
#<alt (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v)))))>
#<alt (- (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))) (/ 1/180 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))) (/ 1/180 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i))))>
#<alt (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))))>
#<alt (* -1 (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i))))>
#<alt (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i))))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (* 2 (pow v 2))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))>
#<alt (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (- (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2))))) (/ 1/180 (pow v 4)))>
#<alt (- (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))) (/ 1/180 (pow v 4)))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (- (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* 1/6 (/ 1 (pow v 2))))) (/ 1/180 (pow v 4)))>
#<alt (- (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))) (/ 1/180 (pow v 4)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt v>
#<alt (* v (- 1 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* v (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* v (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6))))))>
#<alt v>
#<alt (* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 1/6 (/ 1 (pow v 2))) (+ 1 (/ 7/360 (pow v 4))))))>
#<alt (* -1 (* v (- (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))) (+ 1 (/ 7/360 (pow v 4))))))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>

Calls

159 calls:

Time	Variable		Point	Expression
102.0ms	v	@	0	(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
42.0ms	cosTheta_O	@	-inf	(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
26.0ms	cosTheta_i	@	-inf	(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
25.0ms	cosTheta_i	@	0	(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
22.0ms	cosTheta_O	@	0	(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)

rewrite1.8s (6.8%)

Memory

22.9MiB live, 372.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 956×	`/-lowering-/.f32`
4 956×	`/-lowering-/.f64`
3 938×	`-lowering-.f32`
3 938×	`-lowering-.f64`
1 652×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	256
1	312	252
2	2607	248
0	8424	243

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 224

Calls

Call 1

Inputs
(/ 1 (/ 1 (sinh (/ 1 v))))
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v)))))
(* (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (/ 1 (/ 1 (sinh (/ 1 v))))))
(* (* (/ cosTheta_O v) cosTheta_i) 1/2)
(* cosTheta_O (* (/ 1/2 v) cosTheta_i))
(* (/ 1/2 v) cosTheta_i)
(/ 1/2 v)
(/ (/ (* cosTheta_i cosTheta_O) (* v v)) (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2))
(* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2)
(/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))
(/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))
(* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v))
(/ (* (* (/ cosTheta_i v) cosTheta_O) (/ 1 v)) (* (sinh (/ 1 v)) 2))
(* (/ cosTheta_i v) cosTheta_O)
(/ cosTheta_i v)
(exp (* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1))
(* (log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i))) -1)
(* 2 (* v v))
(log (/ (* (sinh (/ 1 v)) (* 2 (* v v))) (* cosTheta_O cosTheta_i)))
(sinh (/ 1 v))
(/ 1 (sinh (/ 1 v)))
(/ 1/120 (* v v))
(/ (* cosTheta_i cosTheta_O) (* v v))
(+ 1/6 (/ 1/120 (* v v)))
(* (sinh (/ 1 v)) (* 2 (* v v)))

Outputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 0 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))
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(.f32 (+.f32 #s(literal 1/216 binary32) (/.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 v (.f32 v v)) (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))))
(.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))))
(exp.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))))
(/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v (.f32 v #s(literal 2 binary32))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (log.f32 (.f32 v (*.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 v #s(literal 2 binary32)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) v)
(.f32 (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v) v)
(.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 (log.f32 (.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (exp.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v))

simplify1.6s (6%)

Memory

21.2MiB live, 724.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 272×	`accelerator-lowering-fma.f32`
8 272×	`accelerator-lowering-fma.f64`
7 040×	`-lowering-.f32`
7 040×	`-lowering-.f64`
3 334×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	9279
1	1683	8922
2	5910	8860
0	8258	8750

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

eval1.1s (4.3%)

Memory: 14.7MiB live, 399.4MiB allocated
Compiler: Compiled 45 044 to 4 428 computations (90.2% saved)

prune484.0ms (1.8%)

Memory

-35.5MiB live, 814.1MiB allocated

Pruning

119 alts after pruning (115 fresh and 4 done)

	Pruned	Kept	Total
New	1 885	67	1 952
Fresh	28	48	76
Picked	3	2	5
Done	0	2	2
Total	1 916	119	2 035

Accuracy

99.9%

Counts

2 035 → 119

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.4%	(pow.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	54.1%	(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
	54.3%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
	97.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
	98.3%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	68.8%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O sinTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
	62.0%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	55.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (log.f32 v) #s(literal 2 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
	97.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	68.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
	66.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	56.2%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.3%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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))
	68.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
	98.1%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	66.6%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
	76.1%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
	55.6%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
	98.5%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)))
	98.1%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
	98.4%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	98.4%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	94.5%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	55.7%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
	97.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
	68.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
✓	55.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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 (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)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	98.2%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	68.8%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	66.5%	(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
	68.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
	89.3%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	89.4%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	66.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
	56.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 2 binary32))) (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)))))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
	66.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
	92.6%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	56.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.5%	(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
	68.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
	98.2%	(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
	68.8%	(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
	55.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	68.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
	68.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	68.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
	55.6%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	68.8%	(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
	68.8%	(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	68.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
	98.3%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
	68.8%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
	55.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.3%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	93.8%	(.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.6%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
✓	98.7%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32))) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	68.8%	(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
	46.3%	(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) (*.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))))
	55.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
	68.8%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	68.8%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
	51.3%	(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
	68.8%	(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	46.2%	(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
	68.8%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
	98.2%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	68.8%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
	98.2%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
	68.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))))
	98.6%	(.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
	96.6%	(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
	55.6%	(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
✓	55.6%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
	68.8%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
	98.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
	55.6%	(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
	98.3%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
✓	55.6%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
	93.5%	(exp.f32 (log.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))))

Compiler

Compiled 7 504 to 2 857 computations (61.9% saved)

regimes518.0ms (2%)

Memory

6.7MiB live, 835.5MiB allocated

Counts

202 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
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(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) #s(literal -1 binary32))))
(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (pow.f32 (/.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v cosTheta_i) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (pow.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.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)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.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))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) (*.f32 v #s(literal 2 binary32)))))

Outputs

(*.f32 (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Calls

8 calls:

62.0ms	cosTheta_i
59.0ms	(*.f32 cosTheta_i cosTheta_O)
58.0ms	sinTheta_i
56.0ms	v
56.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes392.0ms (1.5%)

Memory

45.5MiB live, 794.0MiB allocated

Counts

160 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
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(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)))

Outputs

(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))

Calls

8 calls:

51.0ms	cosTheta_i
49.0ms	cosTheta_O
45.0ms	sinTheta_O
45.0ms	sinTheta_i
45.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes412.0ms (1.6%)

Memory

-6.7MiB live, 832.6MiB allocated

Counts

150 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Outputs

(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Calls

8 calls:

59.0ms	sinTheta_O
48.0ms	sinTheta_i
47.0ms	cosTheta_O
45.0ms	cosTheta_i
43.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes462.0ms (1.8%)

Memory

-2.0MiB live, 844.8MiB allocated

Counts

149 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
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(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))

Outputs

(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))

Calls

8 calls:

99.0ms	v
80.0ms	(/.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))
45.0ms	sinTheta_i
44.0ms	sinTheta_O
43.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes323.0ms (1.2%)

Memory

-24.5MiB live, 611.7MiB allocated

Counts

138 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
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(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
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(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
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(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))

Outputs

(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))

Calls

7 calls:

52.0ms	cosTheta_O
51.0ms	sinTheta_i
43.0ms	v
38.0ms	cosTheta_i
38.0ms	sinTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes302.0ms (1.1%)

Memory

22.9MiB live, 490.8MiB allocated

Counts

135 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))

Outputs

(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))

Calls

7 calls:

43.0ms	cosTheta_O
42.0ms	sinTheta_O
40.0ms	v
39.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	sinTheta_i

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes338.0ms (1.3%)

Memory

-3.3MiB live, 444.4MiB allocated

Counts

133 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
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(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
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(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
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(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
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(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))

Outputs

(*.f32 (*.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v))))

Calls

7 calls:

64.0ms	(*.f32 cosTheta_i cosTheta_O)
48.0ms	(*.f32 sinTheta_i sinTheta_O)
42.0ms	sinTheta_i
41.0ms	cosTheta_i
41.0ms	sinTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes343.0ms (1.3%)

Memory

-3.3MiB live, 522.1MiB allocated

Counts

128 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))

Outputs

(*.f32 (*.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v #s(literal 2 binary32)) v))))

Calls

7 calls:

74.0ms	cosTheta_O
65.0ms	sinTheta_i
38.0ms	v
36.0ms	sinTheta_O
36.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes278.0ms (1.1%)

Memory

26.7MiB live, 573.4MiB allocated

Counts

127 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.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 v) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 v cosTheta_O)) cosTheta_i)) (.f32 (sinh.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))

Outputs

(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)

Calls

7 calls:

41.0ms	cosTheta_i
37.0ms	sinTheta_i
37.0ms	(*.f32 sinTheta_i sinTheta_O)
37.0ms	sinTheta_O
36.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes578.0ms (2.2%)

Memory

-132.9MiB live, 680.8MiB allocated

Counts

123 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v sinTheta_i)) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i 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 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))) cosTheta_i) cosTheta_O)

Outputs
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))

Calls

7 calls:

300.0ms	cosTheta_O
70.0ms	cosTheta_i
38.0ms	sinTheta_i
36.0ms	v
36.0ms	sinTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes292.0ms (1.1%)

Memory

-9.7MiB live, 413.4MiB allocated

Counts

104 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 sinTheta_O 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))) v)
(.f32 (.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))

Outputs
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))

Calls

6 calls:

61.0ms	v
54.0ms	sinTheta_O
50.0ms	sinTheta_i
39.0ms	(*.f32 cosTheta_i cosTheta_O)
31.0ms	cosTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes213.0ms (0.8%)

Memory

-8.5MiB live, 362.9MiB allocated

Counts

92 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))

Outputs
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))

Calls

6 calls:

41.0ms	(*.f32 cosTheta_i cosTheta_O)
37.0ms	v
31.0ms	cosTheta_O
31.0ms	sinTheta_i
29.0ms	cosTheta_i

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes228.0ms (0.9%)

Memory

13.7MiB live, 386.9MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))

Outputs
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))

Calls

6 calls:

77.0ms	(*.f32 cosTheta_i cosTheta_O)
28.0ms	cosTheta_O
27.0ms	sinTheta_i
27.0ms	sinTheta_O
26.0ms	v

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes189.0ms (0.7%)

Memory

14.0MiB live, 244.8MiB allocated

Counts

83 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))

Calls

6 calls:

48.0ms	cosTheta_i
30.0ms	(*.f32 cosTheta_i cosTheta_O)
26.0ms	v
25.0ms	sinTheta_O
25.0ms	cosTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes187.0ms (0.7%)

Memory

-17.3MiB live, 257.4MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))

Outputs

(/.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v))) (*.f32 v (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) #s(literal 2 binary32)))

Calls

6 calls:

34.0ms	cosTheta_i
27.0ms	v
26.0ms	(*.f32 cosTheta_i cosTheta_O)
24.0ms	sinTheta_i
22.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
76.1%	1	`cosTheta_i`
76.1%	1	`cosTheta_O`
76.1%	1	`sinTheta_i`
76.1%	1	`sinTheta_O`
76.1%	1	`v`
76.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes173.0ms (0.7%)

Memory

2.7MiB live, 277.8MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v))))) v))
(.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (fma.f32 v (.f32 v #s(literal 1/6 binary32)) #s(literal 1/120 binary32)) (.f32 v v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) (neg.f32 v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) cosTheta_i) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(.f32 v (.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -672000 binary32))) #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 16800 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))

Outputs

(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))

Calls

6 calls:

36.0ms	sinTheta_i
35.0ms	cosTheta_i
28.0ms	sinTheta_O
23.0ms	v
21.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
68.8%	1	`cosTheta_i`
68.8%	1	`sinTheta_i`
68.8%	1	`cosTheta_O`
68.8%	1	`sinTheta_O`
68.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.8%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes98.0ms (0.4%)

Memory

20.7MiB live, 215.2MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (*.f32 v v))
(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) (.f32 v (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 v v) #s(literal -1/6 binary32) #s(literal -1/120 binary32)) (.f32 v (.f32 v (*.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)))

Outputs

(*.f32 (/.f32 cosTheta_i (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))

Calls

6 calls:

17.0ms	cosTheta_i
16.0ms	sinTheta_O
16.0ms	cosTheta_O
16.0ms	sinTheta_i
14.0ms	v

Results

Accuracy	Segments	Branch
68.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.8%	1	`cosTheta_i`
68.8%	1	`v`
68.8%	1	`cosTheta_O`
68.8%	1	`sinTheta_i`
68.8%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes128.0ms (0.5%)

Memory

-5.0MiB live, 186.6MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32)))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/2 binary32) (/.f32 v (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))))))) (.f32 v v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))

Outputs

(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))

Calls

6 calls:

41.0ms	sinTheta_i
28.0ms	sinTheta_O
15.0ms	cosTheta_i
14.0ms	v
13.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
68.8%	1	`v`
68.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.8%	1	`cosTheta_i`
68.8%	1	`cosTheta_O`
68.8%	1	`sinTheta_i`
68.8%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes70.0ms (0.3%)

Memory

11.4MiB live, 181.7MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v)))

Outputs

(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))))

Calls

6 calls:

14.0ms	cosTheta_O
11.0ms	sinTheta_O
11.0ms	cosTheta_i
11.0ms	(*.f32 cosTheta_i cosTheta_O)
10.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
68.8%	1	`cosTheta_i`
68.8%	1	`v`
68.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
68.8%	1	`cosTheta_O`
68.8%	1	`sinTheta_i`
68.8%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes59.0ms (0.2%)

Memory

-14.3MiB live, 143.5MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))

Outputs
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))

Calls

6 calls:

11.0ms	sinTheta_i
10.0ms	cosTheta_O
10.0ms	sinTheta_O
9.0ms	v
9.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
62.0%	1	`v`
62.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.0%	1	`cosTheta_O`
62.0%	1	`cosTheta_i`
62.0%	1	`sinTheta_i`
62.0%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes93.0ms (0.4%)

Memory

0.4MiB live, 80.3MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) v))
(.f32 (.f32 v (.f32 v v)) (fma.f32 (.f32 v v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))

Outputs
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)

Calls

6 calls:

31.0ms	cosTheta_i
29.0ms	sinTheta_i
8.0ms	cosTheta_O
8.0ms	sinTheta_O
8.0ms	v

Results

Accuracy	Segments	Branch
56.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.2%	1	`cosTheta_i`
56.2%	1	`sinTheta_O`
56.2%	1	`cosTheta_O`
56.2%	1	`sinTheta_i`
56.2%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes36.0ms (0.1%)

Memory

7.8MiB live, 84.7MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))

Outputs
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))

Calls

6 calls:

7.0ms	cosTheta_O
6.0ms	cosTheta_i
6.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	v
6.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
56.2%	1	`sinTheta_O`
56.2%	1	`cosTheta_O`
56.2%	1	`v`
56.2%	1	`sinTheta_i`
56.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.2%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes31.0ms (0.1%)

Memory

-18.7MiB live, 59.8MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))

Outputs
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))

Calls

6 calls:

7.0ms	sinTheta_i
6.0ms	cosTheta_O
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
56.1%	1	`sinTheta_i`
56.1%	1	`sinTheta_O`
56.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.1%	1	`cosTheta_i`
56.1%	1	`cosTheta_O`
56.1%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes24.0ms (0.1%)

Memory

10.3MiB live, 48.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 #s(literal 60 binary32) (.f32 v (.f32 (*.f32 v v) cosTheta_i))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))

Outputs
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)

Calls

6 calls:

5.0ms	sinTheta_i
4.0ms	cosTheta_O
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes18.0ms (0.1%)

Memory

15.3MiB live, 53.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))

Outputs
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))

Calls

6 calls:

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

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes21.0ms (0.1%)

Memory

4.5MiB live, 42.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)

Outputs
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))

Calls

6 calls:

8.0ms	v
2.0ms	cosTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
55.6%	1	`cosTheta_O`
55.6%	1	`sinTheta_O`
55.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
55.6%	1	`v`
55.6%	1	`sinTheta_i`
55.6%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes46.0ms (0.2%)

Memory

-38.7MiB live, 27.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))

(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))

(*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))

Outputs
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))

Calls

5 calls:

38.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	v
2.0ms	sinTheta_O
2.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
55.6%	1	`sinTheta_O`
55.6%	1	`cosTheta_O`
55.6%	1	`cosTheta_i`
55.6%	1	`sinTheta_i`
55.6%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify21.0ms (0.1%)

Memory

-2.0MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

122×	`*-commutative_binary32`
30×	`+-commutative_binary32`
20×	`sub-neg_binary32`
18×	`neg-mul-1_binary32`
16×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	484
1	199	484
2	212	484
3	229	484
4	247	484
5	257	484
6	261	484
7	262	484

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))

Outputs
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_i (exp.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (*.f32 v #s(literal 2 binary32)))))))
(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O (/.f32 cosTheta_i v))) (.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (*.f32 v v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))

soundness2.4s (9.2%)

Memory

36.2MiB live, 2 086.9MiB allocated

Rules

12 670×	`accelerator-lowering-fma.f32`
12 670×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
9 564×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	969	14666
1	3301	13842
0	8076	13622
0	54	256
1	312	252
2	2607	248
0	8424	243
0	815	15212
1	2746	14448
0	8544	14216
0	41	232
1	216	232
2	1922	225
0	8880	225
0	534	9279
1	1683	8922
2	5910	8860
0	8258	8750
0	334	3905
1	1040	3784
2	3835	3551
3	7017	3550
0	8065	3508
0	19	64
1	77	62
2	516	62
3	6807	62
0	8047	62
0	47	231
1	237	228
2	2008	220
0	8791	220

Stop Event

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

Compiler

Compiled 1 223 to 699 computations (42.8% saved)

preprocess1.5s (5.8%)

Memory: 13.1MiB live, 2 592.0MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 8 872 to 5 892 computations (33.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze675.0ms (2.6%)

sample2.6s (10%)

preprocess315.0ms (1.2%)

explain186.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify321.0ms (1.2%)

localize55.0ms (0.2%)

series56.0ms (0.2%)

rewrite260.0ms (1%)

simplify478.0ms (1.8%)

eval129.0ms (0.5%)

prune207.0ms (0.8%)

simplify373.0ms (1.4%)

localize175.0ms (0.7%)

series152.0ms (0.6%)

rewrite752.0ms (2.9%)

simplify829.0ms (3.1%)

eval526.0ms (2%)

prune443.0ms (1.7%)

simplify260.0ms (1%)

localize160.0ms (0.6%)

series409.0ms (1.6%)

rewrite288.0ms (1.1%)

simplify551.0ms (2.1%)

eval224.0ms (0.8%)

prune291.0ms (1.1%)

simplify286.0ms (1.1%)

localize225.0ms (0.9%)

series281.0ms (1.1%)

rewrite1.8s (6.8%)

simplify1.6s (6%)

eval1.1s (4.3%)

prune484.0ms (1.8%)

regimes518.0ms (2%)

regimes392.0ms (1.5%)

regimes412.0ms (1.6%)

regimes462.0ms (1.8%)

regimes323.0ms (1.2%)

regimes302.0ms (1.1%)

regimes338.0ms (1.3%)

regimes343.0ms (1.3%)

regimes278.0ms (1.1%)

regimes578.0ms (2.2%)

regimes292.0ms (1.1%)

regimes213.0ms (0.8%)

regimes228.0ms (0.9%)

regimes189.0ms (0.7%)

regimes187.0ms (0.7%)

regimes173.0ms (0.7%)

regimes98.0ms (0.4%)

regimes128.0ms (0.5%)

regimes70.0ms (0.3%)

regimes59.0ms (0.2%)

regimes93.0ms (0.4%)

regimes36.0ms (0.1%)

regimes31.0ms (0.1%)

regimes24.0ms (0.1%)

regimes18.0ms (0.1%)

regimes21.0ms (0.1%)

regimes46.0ms (0.2%)

simplify21.0ms (0.1%)

soundness2.4s (9.2%)

preprocess1.5s (5.8%)

end0.0ms (0%)

Profiling